Generic trees associated to Extremal F16:

Leaf labels:
{0: F25, 1: F34, 2: G6, 3: F24, 4: E1, 5: G1, 6: F35, 7: F23, 8: E6, 9: F45}

Cone aa2a3a4
Leaves and Vertices:
([0], [+Infinity, r4, r1 + r2 + 2*r3 + 3*r4, r1 + r2 + 2*r3 + 4*r4, r1 + r2 + r3 + 3*r4, r1 + r2 + 2*r3 + 3*r4, r4, r1 + r2 + 2*r3 + 4*r4, r1 + r2 + r3 + 3*r4, r1 + r2 + r3 + 2*r4], False)
([1], [-r2 - 2*r3, +Infinity, r1 + 2*r4, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3 + r4, -r2 - r3 + r4, -r2 - r3 + r4, r1 - r3 + r4, r1 - r3 + r4], False)
([2], [-r3 - r4, -r3 - r4, +Infinity, -r3 - r4, -r3 - r4, 0, -r3 - r4, 0, r1 + r2, r1 + 2*r2 + r3 + r4], False)
([3], [-r1 - 2*r2 - 2*r3 - r4, -2*r1 - 3*r2 - 4*r3 - 4*r4, -r1 - 2*r2 - 2*r3 - 2*r4, +Infinity, -r1 - 2*r2 - 3*r3 - 2*r4, -r1 - 2*r2 - 2*r3 - 2*r4, -2*r1 - 3*r2 - 4*r3 - 4*r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - 2*r4, -r1 - 2*r2 - 3*r3 - 3*r4], False)
([4], [r1 + r2 + 3*r3 + 5*r4, 2*r3 + 3*r4, r1 + r2 + 4*r3 + 5*r4, r1 + r2 + 3*r3 + 5*r4, +Infinity, r1 + r2 + 4*r3 + 5*r4, 2*r3 + 3*r4, r1 + 2*r2 + 5*r3 + 7*r4, r1 + r2 + 3*r3 + 5*r4, r1 + r2 + 3*r3 + 4*r4], False)
([5], [-r1 - 2*r2 - 3*r3 - 2*r4, -2*r1 - 3*r2 - 4*r3 - 3*r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - 2*r4, -r1 - 2*r2 - 3*r3 - 2*r4, +Infinity, -2*r1 - 3*r2 - 4*r3 - 3*r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - r4, -r1 - 2*r2 - 3*r3 - 2*r4], False)
([6], [2*r4, r3 + 3*r4, r1 + r2 + 2*r3 + 4*r4, 2*r4, 2*r4, r3 + 3*r4, +Infinity, r3 + 3*r4, r1 + r2 + r3 + 3*r4, r1 + r2 + r3 + 3*r4], False)
([7], [-r1 - r2 + r4, -2*r1 - 2*r2 - r3 - r4, -r1 - r2 + r3 + r4, -r1 - r2 + r4, -r1 + r3 + 2*r4, -r1 - r2 + r3 + r4, -2*r1 - 2*r2 - r3 - r4, +Infinity, -r1 - r2 + r4, -r1 - r2], False)
([8], [r2 + 3*r3 + 5*r4, r2 + 3*r3 + 4*r4, r1 + 2*r2 + 5*r3 + 6*r4, r2 + 3*r3 + 5*r4, r2 + 3*r3 + 5*r4, r2 + 4*r3 + 6*r4, r2 + 3*r3 + 4*r4, r2 + 4*r3 + 6*r4, +Infinity, r1 + 2*r2 + 4*r3 + 5*r4], False)
([9], [r2 + 3*r3 + 5*r4, r2 + 3*r3 + 5*r4, r1 + 3*r2 + 6*r3 + 8*r4, r2 + 3*r3 + 5*r4, r2 + 3*r3 + 5*r4, r2 + 4*r3 + 6*r4, r2 + 3*r3 + 5*r4, r2 + 4*r3 + 6*r4, r1 + 2*r2 + 4*r3 + 6*r4, +Infinity], False)
([1, 2, 6, 9], [-r2 - 2*r3, -r2 - 2*r3, r1 + 2*r4, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3 + r4, -r2 - 2*r3, -r2 - r3 + r4, r1 - r3 + r4, r1 - r3 + r4], True)
([0, 3, 4, 7], [r1 + r2 + r3 + 3*r4, r4, r1 + r2 + 2*r3 + 3*r4, r1 + r2 + r3 + 3*r4, r1 + r2 + r3 + 3*r4, r1 + r2 + 2*r3 + 3*r4, r4, r1 + r2 + 2*r3 + 4*r4, r1 + r2 + r3 + 3*r4, r1 + r2 + r3 + 2*r4], True)
([1, 2, 6, 8, 9], [r2 + 3*r3 + 5*r4, r2 + 3*r3 + 4*r4, r1 + 2*r2 + 5*r3 + 6*r4, r2 + 3*r3 + 5*r4, r2 + 3*r3 + 5*r4, r2 + 4*r3 + 6*r4, r2 + 3*r3 + 4*r4, r2 + 4*r3 + 6*r4, r1 + 2*r2 + 4*r3 + 6*r4, r1 + 2*r2 + 4*r3 + 5*r4], True)
([0, 3, 4, 5, 7], [-r1 - 2*r2 - 3*r3 - 2*r4, -2*r1 - 3*r2 - 4*r3 - 3*r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - 2*r4, -r1 - 2*r2 - 3*r3 - 2*r4, -r1 - 2*r2 - 2*r3 - r4, -2*r1 - 3*r2 - 4*r3 - 3*r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - r4, -r1 - 2*r2 - 3*r3 - 2*r4], True)
([4, 7], [r1 + r2 + 3*r3 + 5*r4, 2*r3 + 3*r4, r1 + r2 + 4*r3 + 5*r4, r1 + r2 + 3*r3 + 5*r4, r1 + 2*r2 + 4*r3 + 6*r4, r1 + r2 + 4*r3 + 5*r4, 2*r3 + 3*r4, r1 + 2*r2 + 5*r3 + 7*r4, r1 + r2 + 3*r3 + 5*r4, r1 + r2 + 3*r3 + 4*r4], True)
([2, 9], [-r3 - r4, -r3 - r4, r1 + 2*r2 + 2*r3 + 2*r4, -r3 - r4, -r3 - r4, 0, -r3 - r4, 0, r1 + r2, r1 + 2*r2 + r3 + r4], True)
([1, 6], [-r2 - 2*r3, -r2 - r3 + r4, r1 + 2*r4, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3 + r4, -r2 - r3 + r4, -r2 - r3 + r4, r1 - r3 + r4, r1 - r3 + r4], True)
([0, 3], [r1 + r2 + 2*r3 + 4*r4, r4, r1 + r2 + 2*r3 + 3*r4, r1 + r2 + 2*r3 + 4*r4, r1 + r2 + r3 + 3*r4, r1 + r2 + 2*r3 + 3*r4, r4, r1 + r2 + 2*r3 + 4*r4, r1 + r2 + r3 + 3*r4, r1 + r2 + r3 + 2*r4], True)
Distances: 
([1, 2, 6, 9], [1, 2, 6, 8, 9], abs(-r4))
([1, 2, 6, 9], [2, 9], abs(-r2 - r3 - r4))
([1, 2, 6, 9], [1, 6], abs(-r3 - r4))
([0, 3, 4, 7], [0, 3, 4, 5, 7], abs(-r4))
([0, 3, 4, 7], [4, 7], abs(-r2 - r3 - r4))
([0, 3, 4, 7], [0, 3], abs(-r3 - r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1 - r2 - r3))


Cone aa2a3b
Leaves and Vertices:
([0], [+Infinity, r4, r1 + r2 + 2*r3 + 2*r4, r1 + r2 + 2*r3 + r4, r1 + r2 + r3 + r4, r1 + r2 + 2*r3 + r4, r4, r1 + r2 + 2*r3 + r4, r1 + r2 + r3 + r4, r1 + r2 + r3 + r4], False)
([1], [-r2 - 2*r3 - r4, +Infinity, r1, -r2 - 2*r3 - r4, -r2 - 2*r3 - r4, -r2 - r3 - r4, -r2 - r3 - r4, -r2 - r3 - r4, r1 - r3 - r4, r1 - r3 - r4], False)
([2], [-r3, -r3, +Infinity, -r3, -r3, 0, -r3, 0, r1 + r2 + r4, r1 + 2*r2 + r3 + r4], False)
([3], [-r1 - 2*r2 - 2*r3 - r4, -2*r1 - 3*r2 - 4*r3 - r4, -r1 - 2*r2 - 2*r3, +Infinity, -r1 - 2*r2 - 3*r3 - r4, -r1 - 2*r2 - 2*r3 - r4, -2*r1 - 3*r2 - 4*r3 - r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - r4, -r1 - 2*r2 - 3*r3 - r4], False)
([4], [r1 + r2 + 3*r3 + 2*r4, 2*r3 + 2*r4, r1 + r2 + 4*r3 + 3*r4, r1 + r2 + 3*r3 + 2*r4, +Infinity, r1 + r2 + 4*r3 + 3*r4, 2*r3 + 2*r4, r1 + 2*r2 + 5*r3 + 3*r4, r1 + r2 + 3*r3 + 2*r4, r1 + r2 + 3*r3 + 2*r4], False)
([5], [-r1 - 2*r2 - 3*r3 - 2*r4, -2*r1 - 3*r2 - 4*r3 - 2*r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - 2*r4, -r1 - 2*r2 - 3*r3 - r4, +Infinity, -2*r1 - 3*r2 - 4*r3 - 2*r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - 2*r4, -r1 - 2*r2 - 3*r3 - 2*r4], False)
([6], [r4, r3 + r4, r1 + r2 + 2*r3 + 2*r4, r4, r4, r3 + r4, +Infinity, r3 + r4, r1 + r2 + r3 + r4, r1 + r2 + r3 + r4], False)
([7], [-r1 - r2 + r4, -2*r1 - 2*r2 - r3 + r4, -r1 - r2 + r3 + 2*r4, -r1 - r2 + r4, -r1 + r3 + 2*r4, -r1 - r2 + r3 + 2*r4, -2*r1 - 2*r2 - r3 + r4, +Infinity, -r1 - r2 + r4, -r1 - r2 + r4], False)
([8], [r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, r1 + 2*r2 + 5*r3 + 4*r4, r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, +Infinity, r1 + 2*r2 + 4*r3 + 3*r4], False)
([9], [r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, r1 + 3*r2 + 6*r3 + 4*r4, r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, r1 + 2*r2 + 4*r3 + 3*r4, +Infinity], False)
([1, 2, 6, 8, 9], [-r2 - 2*r3 - r4, -r2 - 2*r3 - r4, r1, -r2 - 2*r3 - r4, -r2 - 2*r3 - r4, -r2 - r3 - r4, -r2 - 2*r3 - r4, -r2 - r3 - r4, r1 - r3 - r4, r1 - r3 - r4], True)
([0, 3, 4, 5, 7], [r1 + r2 + r3 + r4, r4, r1 + r2 + 2*r3 + 2*r4, r1 + r2 + r3 + r4, r1 + r2 + r3 + r4, r1 + r2 + 2*r3 + r4, r4, r1 + r2 + 2*r3 + r4, r1 + r2 + r3 + r4, r1 + r2 + r3 + r4], True)
([2, 8, 9], [r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, r1 + 2*r2 + 5*r3 + 4*r4, r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, r1 + 2*r2 + 4*r3 + 3*r4, r1 + 2*r2 + 4*r3 + 3*r4], True)
([4, 5, 7], [-r1 - 2*r2 - 3*r3 - 2*r4, -2*r1 - 3*r2 - 4*r3 - 2*r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - 2*r4, -r1 - 2*r2 - 3*r3 - r4, -r1 - 2*r2 - 2*r3 - r4, -2*r1 - 3*r2 - 4*r3 - 2*r4, -r1 - 2*r2 - 2*r3 - r4, -r1 - 2*r2 - 3*r3 - 2*r4, -r1 - 2*r2 - 3*r3 - 2*r4], True)
([4, 7], [r1 + r2 + 3*r3 + 2*r4, 2*r3 + 2*r4, r1 + r2 + 4*r3 + 3*r4, r1 + r2 + 3*r3 + 2*r4, r1 + 2*r2 + 4*r3 + 3*r4, r1 + r2 + 4*r3 + 3*r4, 2*r3 + 2*r4, r1 + 2*r2 + 5*r3 + 3*r4, r1 + r2 + 3*r3 + 2*r4, r1 + r2 + 3*r3 + 2*r4], True)
([2, 9], [-r3, -r3, r1 + 2*r2 + 2*r3 + 2*r4, -r3, -r3, 0, -r3, 0, r1 + r2 + r4, r1 + 2*r2 + r3 + r4], True)
([1, 6], [-r2 - 2*r3 - r4, -r2 - r3 - r4, r1, -r2 - 2*r3 - r4, -r2 - 2*r3 - r4, -r2 - r3 - r4, -r2 - r3 - r4, -r2 - r3 - r4, r1 - r3 - r4, r1 - r3 - r4], True)
([0, 3], [r1 + r2 + 2*r3 + r4, r4, r1 + r2 + 2*r3 + 2*r4, r1 + r2 + 2*r3 + r4, r1 + r2 + r3 + r4, r1 + r2 + 2*r3 + r4, r4, r1 + r2 + 2*r3 + r4, r1 + r2 + r3 + r4, r1 + r2 + r3 + r4], True)
Distances: 
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1 - r2 - r3))
([1, 2, 6, 8, 9], [2, 8, 9], abs(-r4))
([1, 2, 6, 8, 9], [1, 6], abs(-r3))
([0, 3, 4, 5, 7], [4, 5, 7], abs(-r4))
([0, 3, 4, 5, 7], [0, 3], abs(-r3))
([2, 8, 9], [2, 9], abs(-r2 - r3))
([4, 5, 7], [4, 7], abs(-r2 - r3))


Cone aa2a3
Leaves and Vertices:
([0], [+Infinity, 0, r1 + r2 + 2*r3, r1 + r2 + 2*r3, r1 + r2 + r3, r1 + r2 + 2*r3, 0, r1 + r2 + 2*r3, r1 + r2 + r3, r1 + r2 + r3], False)
([1], [-r2 - 2*r3, +Infinity, r1, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3, -r2 - r3, -r2 - r3, r1 - r3, r1 - r3], False)
([2], [-r3, -r3, +Infinity, -r3, -r3, 0, -r3, 0, r1 + r2, r1 + 2*r2 + r3], False)
([3], [-r1 - 2*r2 - 2*r3, -2*r1 - 3*r2 - 4*r3, -r1 - 2*r2 - 2*r3, +Infinity, -r1 - 2*r2 - 3*r3, -r1 - 2*r2 - 2*r3, -2*r1 - 3*r2 - 4*r3, -r1 - 2*r2 - 2*r3, -r1 - 2*r2 - 3*r3, -r1 - 2*r2 - 3*r3], False)
([4], [r1 + r2 + 3*r3, 2*r3, r1 + r2 + 4*r3, r1 + r2 + 3*r3, +Infinity, r1 + r2 + 4*r3, 2*r3, r1 + 2*r2 + 5*r3, r1 + r2 + 3*r3, r1 + r2 + 3*r3], False)
([5], [-r1 - 2*r2 - 3*r3, -2*r1 - 3*r2 - 4*r3, -r1 - 2*r2 - 2*r3, -r1 - 2*r2 - 3*r3, -r1 - 2*r2 - 3*r3, +Infinity, -2*r1 - 3*r2 - 4*r3, -r1 - 2*r2 - 2*r3, -r1 - 2*r2 - 3*r3, -r1 - 2*r2 - 3*r3], False)
([6], [0, r3, r1 + r2 + 2*r3, 0, 0, r3, +Infinity, r3, r1 + r2 + r3, r1 + r2 + r3], False)
([7], [-r1 - r2, -2*r1 - 2*r2 - r3, -r1 - r2 + r3, -r1 - r2, -r1 + r3, -r1 - r2 + r3, -2*r1 - 2*r2 - r3, +Infinity, -r1 - r2, -r1 - r2], False)
([8], [r2 + 3*r3, r2 + 3*r3, r1 + 2*r2 + 5*r3, r2 + 3*r3, r2 + 3*r3, r2 + 4*r3, r2 + 3*r3, r2 + 4*r3, +Infinity, r1 + 2*r2 + 4*r3], False)
([9], [r2 + 3*r3, r2 + 3*r3, r1 + 3*r2 + 6*r3, r2 + 3*r3, r2 + 3*r3, r2 + 4*r3, r2 + 3*r3, r2 + 4*r3, r1 + 2*r2 + 4*r3, +Infinity], False)
([1, 2, 6, 8, 9], [r2 + 3*r3, r2 + 3*r3, r1 + 2*r2 + 5*r3, r2 + 3*r3, r2 + 3*r3, r2 + 4*r3, r2 + 3*r3, r2 + 4*r3, r1 + 2*r2 + 4*r3, r1 + 2*r2 + 4*r3], True)
([0, 3, 4, 5, 7], [-r1 - 2*r2 - 3*r3, -2*r1 - 3*r2 - 4*r3, -r1 - 2*r2 - 2*r3, -r1 - 2*r2 - 3*r3, -r1 - 2*r2 - 3*r3, -r1 - 2*r2 - 2*r3, -2*r1 - 3*r2 - 4*r3, -r1 - 2*r2 - 2*r3, -r1 - 2*r2 - 3*r3, -r1 - 2*r2 - 3*r3], True)
([4, 7], [r1 + r2 + 3*r3, 2*r3, r1 + r2 + 4*r3, r1 + r2 + 3*r3, r1 + 2*r2 + 4*r3, r1 + r2 + 4*r3, 2*r3, r1 + 2*r2 + 5*r3, r1 + r2 + 3*r3, r1 + r2 + 3*r3], True)
([2, 9], [-r3, -r3, r1 + 2*r2 + 2*r3, -r3, -r3, 0, -r3, 0, r1 + r2, r1 + 2*r2 + r3], True)
([1, 6], [-r2 - 2*r3, -r2 - r3, r1, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3, -r2 - r3, -r2 - r3, r1 - r3, r1 - r3], True)
([0, 3], [r1 + r2 + 2*r3, 0, r1 + r2 + 2*r3, r1 + r2 + 2*r3, r1 + r2 + r3, r1 + r2 + 2*r3, 0, r1 + r2 + 2*r3, r1 + r2 + r3, r1 + r2 + r3], True)
Distances: 
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1 - r2 - r3))
([1, 2, 6, 8, 9], [2, 9], abs(-r2 - r3))
([1, 2, 6, 8, 9], [1, 6], abs(-r3))
([0, 3, 4, 5, 7], [4, 7], abs(-r2 - r3))
([0, 3, 4, 5, 7], [0, 3], abs(-r3))


Cone aa2a4
Leaves and Vertices:
([0], [+Infinity, r4, r1 + r2 + 3*r4, r1 + r2 + 4*r4, r1 + r2 + 3*r4, r1 + r2 + 3*r4, r4, r1 + r2 + 4*r4, r1 + r2 + 3*r4, r1 + r2 + 2*r4], False)
([1], [-r2, +Infinity, r1 + 2*r4, -r2, -r2, -r2 + r4, -r2 + r4, -r2 + r4, r1 + r4, r1 + r4], False)
([2], [-r4, -r4, +Infinity, -r4, -r4, 0, -r4, 0, r1 + r2, r1 + 2*r2 + r4], False)
([3], [-r1 - 2*r2 - r4, -2*r1 - 3*r2 - 4*r4, -r1 - 2*r2 - 2*r4, +Infinity, -r1 - 2*r2 - 2*r4, -r1 - 2*r2 - 2*r4, -2*r1 - 3*r2 - 4*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - 2*r4, -r1 - 2*r2 - 3*r4], False)
([4], [r1 + r2 + 5*r4, 3*r4, r1 + r2 + 5*r4, r1 + r2 + 5*r4, +Infinity, r1 + r2 + 5*r4, 3*r4, r1 + 2*r2 + 7*r4, r1 + r2 + 5*r4, r1 + r2 + 4*r4], False)
([5], [-r1 - 2*r2 - 2*r4, -2*r1 - 3*r2 - 3*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - 2*r4, -r1 - 2*r2 - 2*r4, +Infinity, -2*r1 - 3*r2 - 3*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - 2*r4], False)
([6], [2*r4, 3*r4, r1 + r2 + 4*r4, 2*r4, 2*r4, 3*r4, +Infinity, 3*r4, r1 + r2 + 3*r4, r1 + r2 + 3*r4], False)
([7], [-r1 - r2 + r4, -2*r1 - 2*r2 - r4, -r1 - r2 + r4, -r1 - r2 + r4, -r1 + 2*r4, -r1 - r2 + r4, -2*r1 - 2*r2 - r4, +Infinity, -r1 - r2 + r4, -r1 - r2], False)
([8], [r2 + 5*r4, r2 + 4*r4, r1 + 2*r2 + 6*r4, r2 + 5*r4, r2 + 5*r4, r2 + 6*r4, r2 + 4*r4, r2 + 6*r4, +Infinity, r1 + 2*r2 + 5*r4], False)
([9], [r2 + 5*r4, r2 + 5*r4, r1 + 3*r2 + 8*r4, r2 + 5*r4, r2 + 5*r4, r2 + 6*r4, r2 + 5*r4, r2 + 6*r4, r1 + 2*r2 + 6*r4, +Infinity], False)
([1, 2, 6, 9], [-r2, -r2, r1 + 2*r4, -r2, -r2, -r2 + r4, -r2, -r2 + r4, r1 + r4, r1 + r4], True)
([0, 3, 4, 7], [r1 + r2 + 3*r4, r4, r1 + r2 + 3*r4, r1 + r2 + 3*r4, r1 + r2 + 3*r4, r1 + r2 + 3*r4, r4, r1 + r2 + 4*r4, r1 + r2 + 3*r4, r1 + r2 + 2*r4], True)
([1, 2, 6, 8, 9], [r2 + 5*r4, r2 + 4*r4, r1 + 2*r2 + 6*r4, r2 + 5*r4, r2 + 5*r4, r2 + 6*r4, r2 + 4*r4, r2 + 6*r4, r1 + 2*r2 + 6*r4, r1 + 2*r2 + 5*r4], True)
([0, 3, 4, 5, 7], [-r1 - 2*r2 - 2*r4, -2*r1 - 3*r2 - 3*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - 2*r4, -r1 - 2*r2 - 2*r4, -r1 - 2*r2 - r4, -2*r1 - 3*r2 - 3*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - 2*r4], True)
([4, 7], [r1 + r2 + 5*r4, 3*r4, r1 + r2 + 5*r4, r1 + r2 + 5*r4, r1 + 2*r2 + 6*r4, r1 + r2 + 5*r4, 3*r4, r1 + 2*r2 + 7*r4, r1 + r2 + 5*r4, r1 + r2 + 4*r4], True)
([2, 9], [-r4, -r4, r1 + 2*r2 + 2*r4, -r4, -r4, 0, -r4, 0, r1 + r2, r1 + 2*r2 + r4], True)
([1, 6], [-r2, -r2 + r4, r1 + 2*r4, -r2, -r2, -r2 + r4, -r2 + r4, -r2 + r4, r1 + r4, r1 + r4], True)
([0, 3], [r1 + r2 + 4*r4, r4, r1 + r2 + 3*r4, r1 + r2 + 4*r4, r1 + r2 + 3*r4, r1 + r2 + 3*r4, r4, r1 + r2 + 4*r4, r1 + r2 + 3*r4, r1 + r2 + 2*r4], True)
Distances: 
([1, 2, 6, 9], [1, 2, 6, 8, 9], abs(-r4))
([1, 2, 6, 9], [2, 9], abs(-r2 - r4))
([1, 2, 6, 9], [1, 6], abs(-r4))
([0, 3, 4, 7], [0, 3, 4, 5, 7], abs(-r4))
([0, 3, 4, 7], [4, 7], abs(-r2 - r4))
([0, 3, 4, 7], [0, 3], abs(-r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1 - r2))


Cone aa3a4
Leaves and Vertices:
([0], [+Infinity, r4, r1 + 2*r3 + 3*r4, r1 + 2*r3 + 4*r4, r1 + r3 + 3*r4, r1 + 2*r3 + 3*r4, r4, r1 + 2*r3 + 4*r4, r1 + r3 + 3*r4, r1 + r3 + 2*r4], False)
([1], [-2*r3, +Infinity, r1 + 2*r4, -2*r3, -2*r3, -r3 + r4, -r3 + r4, -r3 + r4, r1 - r3 + r4, r1 - r3 + r4], False)
([2], [-r3 - r4, -r3 - r4, +Infinity, -r3 - r4, -r3 - r4, 0, -r3 - r4, 0, r1, r1 + r3 + r4], False)
([3], [-r1 - 2*r3 - r4, -2*r1 - 4*r3 - 4*r4, -r1 - 2*r3 - 2*r4, +Infinity, -r1 - 3*r3 - 2*r4, -r1 - 2*r3 - 2*r4, -2*r1 - 4*r3 - 4*r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - 2*r4, -r1 - 3*r3 - 3*r4], False)
([4], [r1 + 3*r3 + 5*r4, 2*r3 + 3*r4, r1 + 4*r3 + 5*r4, r1 + 3*r3 + 5*r4, +Infinity, r1 + 4*r3 + 5*r4, 2*r3 + 3*r4, r1 + 5*r3 + 7*r4, r1 + 3*r3 + 5*r4, r1 + 3*r3 + 4*r4], False)
([5], [-r1 - 3*r3 - 2*r4, -2*r1 - 4*r3 - 3*r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - 2*r4, -r1 - 3*r3 - 2*r4, +Infinity, -2*r1 - 4*r3 - 3*r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - r4, -r1 - 3*r3 - 2*r4], False)
([6], [2*r4, r3 + 3*r4, r1 + 2*r3 + 4*r4, 2*r4, 2*r4, r3 + 3*r4, +Infinity, r3 + 3*r4, r1 + r3 + 3*r4, r1 + r3 + 3*r4], False)
([7], [-r1 + r4, -2*r1 - r3 - r4, -r1 + r3 + r4, -r1 + r4, -r1 + r3 + 2*r4, -r1 + r3 + r4, -2*r1 - r3 - r4, +Infinity, -r1 + r4, -r1], False)
([8], [3*r3 + 5*r4, 3*r3 + 4*r4, r1 + 5*r3 + 6*r4, 3*r3 + 5*r4, 3*r3 + 5*r4, 4*r3 + 6*r4, 3*r3 + 4*r4, 4*r3 + 6*r4, +Infinity, r1 + 4*r3 + 5*r4], False)
([9], [3*r3 + 5*r4, 3*r3 + 5*r4, r1 + 6*r3 + 8*r4, 3*r3 + 5*r4, 3*r3 + 5*r4, 4*r3 + 6*r4, 3*r3 + 5*r4, 4*r3 + 6*r4, r1 + 4*r3 + 6*r4, +Infinity], False)
([1, 2, 6, 9], [-2*r3, -2*r3, r1 + 2*r4, -2*r3, -2*r3, -r3 + r4, -2*r3, -r3 + r4, r1 - r3 + r4, r1 - r3 + r4], True)
([0, 3, 4, 7], [r1 + r3 + 3*r4, r4, r1 + 2*r3 + 3*r4, r1 + r3 + 3*r4, r1 + r3 + 3*r4, r1 + 2*r3 + 3*r4, r4, r1 + 2*r3 + 4*r4, r1 + r3 + 3*r4, r1 + r3 + 2*r4], True)
([1, 2, 6, 8, 9], [3*r3 + 5*r4, 3*r3 + 4*r4, r1 + 5*r3 + 6*r4, 3*r3 + 5*r4, 3*r3 + 5*r4, 4*r3 + 6*r4, 3*r3 + 4*r4, 4*r3 + 6*r4, r1 + 4*r3 + 6*r4, r1 + 4*r3 + 5*r4], True)
([0, 3, 4, 5, 7], [-r1 - 3*r3 - 2*r4, -2*r1 - 4*r3 - 3*r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - 2*r4, -r1 - 3*r3 - 2*r4, -r1 - 2*r3 - r4, -2*r1 - 4*r3 - 3*r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - r4, -r1 - 3*r3 - 2*r4], True)
([4, 7], [r1 + 3*r3 + 5*r4, 2*r3 + 3*r4, r1 + 4*r3 + 5*r4, r1 + 3*r3 + 5*r4, r1 + 4*r3 + 6*r4, r1 + 4*r3 + 5*r4, 2*r3 + 3*r4, r1 + 5*r3 + 7*r4, r1 + 3*r3 + 5*r4, r1 + 3*r3 + 4*r4], True)
([2, 9], [-r3 - r4, -r3 - r4, r1 + 2*r3 + 2*r4, -r3 - r4, -r3 - r4, 0, -r3 - r4, 0, r1, r1 + r3 + r4], True)
([1, 6], [-2*r3, -r3 + r4, r1 + 2*r4, -2*r3, -2*r3, -r3 + r4, -r3 + r4, -r3 + r4, r1 - r3 + r4, r1 - r3 + r4], True)
([0, 3], [r1 + 2*r3 + 4*r4, r4, r1 + 2*r3 + 3*r4, r1 + 2*r3 + 4*r4, r1 + r3 + 3*r4, r1 + 2*r3 + 3*r4, r4, r1 + 2*r3 + 4*r4, r1 + r3 + 3*r4, r1 + r3 + 2*r4], True)
Distances: 
([1, 2, 6, 9], [1, 2, 6, 8, 9], abs(-r4))
([1, 2, 6, 9], [2, 9], abs(-r3 - r4))
([1, 2, 6, 9], [1, 6], abs(-r3 - r4))
([0, 3, 4, 7], [0, 3, 4, 5, 7], abs(-r4))
([0, 3, 4, 7], [4, 7], abs(-r3 - r4))
([0, 3, 4, 7], [0, 3], abs(-r3 - r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1 - r3))


Cone a2a3a4
Leaves and Vertices:
([0], [+Infinity, r4, r2 + 2*r3 + 3*r4, r2 + 2*r3 + 4*r4, r2 + r3 + 3*r4, r2 + 2*r3 + 3*r4, r4, r2 + 2*r3 + 4*r4, r2 + r3 + 3*r4, r2 + r3 + 2*r4], False)
([1], [-r2 - 2*r3, +Infinity, 2*r4, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3 + r4, -r2 - r3 + r4, -r2 - r3 + r4, -r3 + r4, -r3 + r4], False)
([2], [-r3 - r4, -r3 - r4, +Infinity, -r3 - r4, -r3 - r4, 0, -r3 - r4, 0, r2, 2*r2 + r3 + r4], False)
([3], [-2*r2 - 2*r3 - r4, -3*r2 - 4*r3 - 4*r4, -2*r2 - 2*r3 - 2*r4, +Infinity, -2*r2 - 3*r3 - 2*r4, -2*r2 - 2*r3 - 2*r4, -3*r2 - 4*r3 - 4*r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - 2*r4, -2*r2 - 3*r3 - 3*r4], False)
([4], [r2 + 3*r3 + 5*r4, 2*r3 + 3*r4, r2 + 4*r3 + 5*r4, r2 + 3*r3 + 5*r4, +Infinity, r2 + 4*r3 + 5*r4, 2*r3 + 3*r4, 2*r2 + 5*r3 + 7*r4, r2 + 3*r3 + 5*r4, r2 + 3*r3 + 4*r4], False)
([5], [-2*r2 - 3*r3 - 2*r4, -3*r2 - 4*r3 - 3*r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - 2*r4, -2*r2 - 3*r3 - 2*r4, +Infinity, -3*r2 - 4*r3 - 3*r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - r4, -2*r2 - 3*r3 - 2*r4], False)
([6], [2*r4, r3 + 3*r4, r2 + 2*r3 + 4*r4, 2*r4, 2*r4, r3 + 3*r4, +Infinity, r3 + 3*r4, r2 + r3 + 3*r4, r2 + r3 + 3*r4], False)
([7], [-r2 + r4, -2*r2 - r3 - r4, -r2 + r3 + r4, -r2 + r4, r3 + 2*r4, -r2 + r3 + r4, -2*r2 - r3 - r4, +Infinity, -r2 + r4, -r2], False)
([8], [r2 + 3*r3 + 5*r4, r2 + 3*r3 + 4*r4, 2*r2 + 5*r3 + 6*r4, r2 + 3*r3 + 5*r4, r2 + 3*r3 + 5*r4, r2 + 4*r3 + 6*r4, r2 + 3*r3 + 4*r4, r2 + 4*r3 + 6*r4, +Infinity, 2*r2 + 4*r3 + 5*r4], False)
([9], [r2 + 3*r3 + 5*r4, r2 + 3*r3 + 5*r4, 3*r2 + 6*r3 + 8*r4, r2 + 3*r3 + 5*r4, r2 + 3*r3 + 5*r4, r2 + 4*r3 + 6*r4, r2 + 3*r3 + 5*r4, r2 + 4*r3 + 6*r4, 2*r2 + 4*r3 + 6*r4, +Infinity], False)
([1, 2, 6, 9], [-r2 - 2*r3, -r2 - 2*r3, 2*r4, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3 + r4, -r2 - 2*r3, -r2 - r3 + r4, -r3 + r4, -r3 + r4], True)
([0, 3, 4, 7], [r2 + r3 + 3*r4, r4, r2 + 2*r3 + 3*r4, r2 + r3 + 3*r4, r2 + r3 + 3*r4, r2 + 2*r3 + 3*r4, r4, r2 + 2*r3 + 4*r4, r2 + r3 + 3*r4, r2 + r3 + 2*r4], True)
([1, 2, 6, 8, 9], [r2 + 3*r3 + 5*r4, r2 + 3*r3 + 4*r4, 2*r2 + 5*r3 + 6*r4, r2 + 3*r3 + 5*r4, r2 + 3*r3 + 5*r4, r2 + 4*r3 + 6*r4, r2 + 3*r3 + 4*r4, r2 + 4*r3 + 6*r4, 2*r2 + 4*r3 + 6*r4, 2*r2 + 4*r3 + 5*r4], True)
([0, 3, 4, 5, 7], [-2*r2 - 3*r3 - 2*r4, -3*r2 - 4*r3 - 3*r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - 2*r4, -2*r2 - 3*r3 - 2*r4, -2*r2 - 2*r3 - r4, -3*r2 - 4*r3 - 3*r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - r4, -2*r2 - 3*r3 - 2*r4], True)
([4, 7], [r2 + 3*r3 + 5*r4, 2*r3 + 3*r4, r2 + 4*r3 + 5*r4, r2 + 3*r3 + 5*r4, 2*r2 + 4*r3 + 6*r4, r2 + 4*r3 + 5*r4, 2*r3 + 3*r4, 2*r2 + 5*r3 + 7*r4, r2 + 3*r3 + 5*r4, r2 + 3*r3 + 4*r4], True)
([2, 9], [-r3 - r4, -r3 - r4, 2*r2 + 2*r3 + 2*r4, -r3 - r4, -r3 - r4, 0, -r3 - r4, 0, r2, 2*r2 + r3 + r4], True)
([1, 6], [-r2 - 2*r3, -r2 - r3 + r4, 2*r4, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3 + r4, -r2 - r3 + r4, -r2 - r3 + r4, -r3 + r4, -r3 + r4], True)
([0, 3], [r2 + 2*r3 + 4*r4, r4, r2 + 2*r3 + 3*r4, r2 + 2*r3 + 4*r4, r2 + r3 + 3*r4, r2 + 2*r3 + 3*r4, r4, r2 + 2*r3 + 4*r4, r2 + r3 + 3*r4, r2 + r3 + 2*r4], True)
Distances: 
([1, 2, 6, 9], [1, 2, 6, 8, 9], abs(-r4))
([1, 2, 6, 9], [2, 9], abs(-r2 - r3 - r4))
([1, 2, 6, 9], [1, 6], abs(-r3 - r4))
([0, 3, 4, 7], [0, 3, 4, 5, 7], abs(-r4))
([0, 3, 4, 7], [4, 7], abs(-r2 - r3 - r4))
([0, 3, 4, 7], [0, 3], abs(-r3 - r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r2 - r3))


Cone aa2b
Leaves and Vertices:
([0], [+Infinity, r4, r1 + r2 + 2*r4, r1 + r2 + r4, r1 + r2 + r4, r1 + r2 + r4, r4, r1 + r2 + r4, r1 + r2 + r4, r1 + r2 + r4], False)
([1], [-r2 - r4, +Infinity, r1, -r2 - r4, -r2 - r4, -r2 - r4, -r2 - r4, -r2 - r4, r1 - r4, r1 - r4], False)
([2], [0, 0, +Infinity, 0, 0, 0, 0, 0, r1 + r2 + r4, r1 + 2*r2 + r4], False)
([3], [-r1 - 2*r2 - r4, -2*r1 - 3*r2 - r4, -r1 - 2*r2, +Infinity, -r1 - 2*r2 - r4, -r1 - 2*r2 - r4, -2*r1 - 3*r2 - r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - r4], False)
([4], [r1 + r2 + 2*r4, 2*r4, r1 + r2 + 3*r4, r1 + r2 + 2*r4, +Infinity, r1 + r2 + 3*r4, 2*r4, r1 + 2*r2 + 3*r4, r1 + r2 + 2*r4, r1 + r2 + 2*r4], False)
([5], [-r1 - 2*r2 - 2*r4, -2*r1 - 3*r2 - 2*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - 2*r4, -r1 - 2*r2 - r4, +Infinity, -2*r1 - 3*r2 - 2*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - 2*r4, -r1 - 2*r2 - 2*r4], False)
([6], [r4, r4, r1 + r2 + 2*r4, r4, r4, r4, +Infinity, r4, r1 + r2 + r4, r1 + r2 + r4], False)
([7], [-r1 - r2 + r4, -2*r1 - 2*r2 + r4, -r1 - r2 + 2*r4, -r1 - r2 + r4, -r1 + 2*r4, -r1 - r2 + 2*r4, -2*r1 - 2*r2 + r4, +Infinity, -r1 - r2 + r4, -r1 - r2 + r4], False)
([8], [r2 + 2*r4, r2 + 2*r4, r1 + 2*r2 + 4*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, +Infinity, r1 + 2*r2 + 3*r4], False)
([9], [r2 + 2*r4, r2 + 2*r4, r1 + 3*r2 + 4*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r1 + 2*r2 + 3*r4, +Infinity], False)
([2, 8, 9], [r2 + 2*r4, r2 + 2*r4, r1 + 2*r2 + 4*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r1 + 2*r2 + 3*r4, r1 + 2*r2 + 3*r4], True)
([4, 5, 7], [-r1 - 2*r2 - 2*r4, -2*r1 - 3*r2 - 2*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - 2*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - r4, -2*r1 - 3*r2 - 2*r4, -r1 - 2*r2 - r4, -r1 - 2*r2 - 2*r4, -r1 - 2*r2 - 2*r4], True)
([4, 7], [r1 + r2 + 2*r4, 2*r4, r1 + r2 + 3*r4, r1 + r2 + 2*r4, r1 + 2*r2 + 3*r4, r1 + r2 + 3*r4, 2*r4, r1 + 2*r2 + 3*r4, r1 + r2 + 2*r4, r1 + r2 + 2*r4], True)
([2, 9], [0, 0, r1 + 2*r2 + 2*r4, 0, 0, 0, 0, 0, r1 + r2 + r4, r1 + 2*r2 + r4], True)
([1, 2, 6, 8, 9], [-r2 - r4, -r2 - r4, r1, -r2 - r4, -r2 - r4, -r2 - r4, -r2 - r4, -r2 - r4, r1 - r4, r1 - r4], True)
([0, 3, 4, 5, 7], [r1 + r2 + r4, r4, r1 + r2 + 2*r4, r1 + r2 + r4, r1 + r2 + r4, r1 + r2 + r4, r4, r1 + r2 + r4, r1 + r2 + r4, r1 + r2 + r4], True)
Distances: 
([2, 8, 9], [2, 9], abs(-r2))
([2, 8, 9], [1, 2, 6, 8, 9], abs(-r4))
([4, 5, 7], [4, 7], abs(-r2))
([4, 5, 7], [0, 3, 4, 5, 7], abs(-r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1 - r2))


Cone aa3b
Leaves and Vertices:
([0], [+Infinity, r4, r1 + 2*r3 + 2*r4, r1 + 2*r3 + r4, r1 + r3 + r4, r1 + 2*r3 + r4, r4, r1 + 2*r3 + r4, r1 + r3 + r4, r1 + r3 + r4], False)
([1], [-2*r3 - r4, +Infinity, r1, -2*r3 - r4, -2*r3 - r4, -r3 - r4, -r3 - r4, -r3 - r4, r1 - r3 - r4, r1 - r3 - r4], False)
([2], [-r3, -r3, +Infinity, -r3, -r3, 0, -r3, 0, r1 + r4, r1 + r3 + r4], False)
([3], [-r1 - 2*r3 - r4, -2*r1 - 4*r3 - r4, -r1 - 2*r3, +Infinity, -r1 - 3*r3 - r4, -r1 - 2*r3 - r4, -2*r1 - 4*r3 - r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - r4, -r1 - 3*r3 - r4], False)
([4], [r1 + 3*r3 + 2*r4, 2*r3 + 2*r4, r1 + 4*r3 + 3*r4, r1 + 3*r3 + 2*r4, +Infinity, r1 + 4*r3 + 3*r4, 2*r3 + 2*r4, r1 + 5*r3 + 3*r4, r1 + 3*r3 + 2*r4, r1 + 3*r3 + 2*r4], False)
([5], [-r1 - 3*r3 - 2*r4, -2*r1 - 4*r3 - 2*r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - 2*r4, -r1 - 3*r3 - r4, +Infinity, -2*r1 - 4*r3 - 2*r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - 2*r4, -r1 - 3*r3 - 2*r4], False)
([6], [r4, r3 + r4, r1 + 2*r3 + 2*r4, r4, r4, r3 + r4, +Infinity, r3 + r4, r1 + r3 + r4, r1 + r3 + r4], False)
([7], [-r1 + r4, -2*r1 - r3 + r4, -r1 + r3 + 2*r4, -r1 + r4, -r1 + r3 + 2*r4, -r1 + r3 + 2*r4, -2*r1 - r3 + r4, +Infinity, -r1 + r4, -r1 + r4], False)
([8], [3*r3 + 2*r4, 3*r3 + 2*r4, r1 + 5*r3 + 4*r4, 3*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, +Infinity, r1 + 4*r3 + 3*r4], False)
([9], [3*r3 + 2*r4, 3*r3 + 2*r4, r1 + 6*r3 + 4*r4, 3*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, r1 + 4*r3 + 3*r4, +Infinity], False)
([1, 2, 6, 8, 9], [-2*r3 - r4, -2*r3 - r4, r1, -2*r3 - r4, -2*r3 - r4, -r3 - r4, -2*r3 - r4, -r3 - r4, r1 - r3 - r4, r1 - r3 - r4], True)
([0, 3, 4, 5, 7], [r1 + r3 + r4, r4, r1 + 2*r3 + 2*r4, r1 + r3 + r4, r1 + r3 + r4, r1 + 2*r3 + r4, r4, r1 + 2*r3 + r4, r1 + r3 + r4, r1 + r3 + r4], True)
([2, 8, 9], [3*r3 + 2*r4, 3*r3 + 2*r4, r1 + 5*r3 + 4*r4, 3*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, r1 + 4*r3 + 3*r4, r1 + 4*r3 + 3*r4], True)
([4, 5, 7], [-r1 - 3*r3 - 2*r4, -2*r1 - 4*r3 - 2*r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - 2*r4, -r1 - 3*r3 - r4, -r1 - 2*r3 - r4, -2*r1 - 4*r3 - 2*r4, -r1 - 2*r3 - r4, -r1 - 3*r3 - 2*r4, -r1 - 3*r3 - 2*r4], True)
([4, 7], [r1 + 3*r3 + 2*r4, 2*r3 + 2*r4, r1 + 4*r3 + 3*r4, r1 + 3*r3 + 2*r4, r1 + 4*r3 + 3*r4, r1 + 4*r3 + 3*r4, 2*r3 + 2*r4, r1 + 5*r3 + 3*r4, r1 + 3*r3 + 2*r4, r1 + 3*r3 + 2*r4], True)
([2, 9], [-r3, -r3, r1 + 2*r3 + 2*r4, -r3, -r3, 0, -r3, 0, r1 + r4, r1 + r3 + r4], True)
([1, 6], [-2*r3 - r4, -r3 - r4, r1, -2*r3 - r4, -2*r3 - r4, -r3 - r4, -r3 - r4, -r3 - r4, r1 - r3 - r4, r1 - r3 - r4], True)
([0, 3], [r1 + 2*r3 + r4, r4, r1 + 2*r3 + 2*r4, r1 + 2*r3 + r4, r1 + r3 + r4, r1 + 2*r3 + r4, r4, r1 + 2*r3 + r4, r1 + r3 + r4, r1 + r3 + r4], True)
Distances: 
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1 - r3))
([1, 2, 6, 8, 9], [2, 8, 9], abs(-r4))
([1, 2, 6, 8, 9], [1, 6], abs(-r3))
([0, 3, 4, 5, 7], [4, 5, 7], abs(-r4))
([0, 3, 4, 5, 7], [0, 3], abs(-r3))
([2, 8, 9], [2, 9], abs(-r3))
([4, 5, 7], [4, 7], abs(-r3))


Cone a2a3b
Leaves and Vertices:
([0], [+Infinity, r4, r2 + 2*r3 + 2*r4, r2 + 2*r3 + r4, r2 + r3 + r4, r2 + 2*r3 + r4, r4, r2 + 2*r3 + r4, r2 + r3 + r4, r2 + r3 + r4], False)
([1], [-r2 - 2*r3 - r4, +Infinity, 0, -r2 - 2*r3 - r4, -r2 - 2*r3 - r4, -r2 - r3 - r4, -r2 - r3 - r4, -r2 - r3 - r4, -r3 - r4, -r3 - r4], False)
([2], [-r3, -r3, +Infinity, -r3, -r3, 0, -r3, 0, r2 + r4, 2*r2 + r3 + r4], False)
([3], [-2*r2 - 2*r3 - r4, -3*r2 - 4*r3 - r4, -2*r2 - 2*r3, +Infinity, -2*r2 - 3*r3 - r4, -2*r2 - 2*r3 - r4, -3*r2 - 4*r3 - r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - r4, -2*r2 - 3*r3 - r4], False)
([4], [r2 + 3*r3 + 2*r4, 2*r3 + 2*r4, r2 + 4*r3 + 3*r4, r2 + 3*r3 + 2*r4, +Infinity, r2 + 4*r3 + 3*r4, 2*r3 + 2*r4, 2*r2 + 5*r3 + 3*r4, r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4], False)
([5], [-2*r2 - 3*r3 - 2*r4, -3*r2 - 4*r3 - 2*r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - 2*r4, -2*r2 - 3*r3 - r4, +Infinity, -3*r2 - 4*r3 - 2*r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - 2*r4, -2*r2 - 3*r3 - 2*r4], False)
([6], [r4, r3 + r4, r2 + 2*r3 + 2*r4, r4, r4, r3 + r4, +Infinity, r3 + r4, r2 + r3 + r4, r2 + r3 + r4], False)
([7], [-r2 + r4, -2*r2 - r3 + r4, -r2 + r3 + 2*r4, -r2 + r4, r3 + 2*r4, -r2 + r3 + 2*r4, -2*r2 - r3 + r4, +Infinity, -r2 + r4, -r2 + r4], False)
([8], [r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, 2*r2 + 5*r3 + 4*r4, r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, +Infinity, 2*r2 + 4*r3 + 3*r4], False)
([9], [r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, 3*r2 + 6*r3 + 4*r4, r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, 2*r2 + 4*r3 + 3*r4, +Infinity], False)
([1, 2, 6, 8, 9], [-r2 - 2*r3 - r4, -r2 - 2*r3 - r4, 0, -r2 - 2*r3 - r4, -r2 - 2*r3 - r4, -r2 - r3 - r4, -r2 - 2*r3 - r4, -r2 - r3 - r4, -r3 - r4, -r3 - r4], True)
([0, 3, 4, 5, 7], [r2 + r3 + r4, r4, r2 + 2*r3 + 2*r4, r2 + r3 + r4, r2 + r3 + r4, r2 + 2*r3 + r4, r4, r2 + 2*r3 + r4, r2 + r3 + r4, r2 + r3 + r4], True)
([2, 8, 9], [r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, 2*r2 + 5*r3 + 4*r4, r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, r2 + 3*r3 + 2*r4, r2 + 4*r3 + 2*r4, 2*r2 + 4*r3 + 3*r4, 2*r2 + 4*r3 + 3*r4], True)
([4, 5, 7], [-2*r2 - 3*r3 - 2*r4, -3*r2 - 4*r3 - 2*r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - 2*r4, -2*r2 - 3*r3 - r4, -2*r2 - 2*r3 - r4, -3*r2 - 4*r3 - 2*r4, -2*r2 - 2*r3 - r4, -2*r2 - 3*r3 - 2*r4, -2*r2 - 3*r3 - 2*r4], True)
([4, 7], [r2 + 3*r3 + 2*r4, 2*r3 + 2*r4, r2 + 4*r3 + 3*r4, r2 + 3*r3 + 2*r4, 2*r2 + 4*r3 + 3*r4, r2 + 4*r3 + 3*r4, 2*r3 + 2*r4, 2*r2 + 5*r3 + 3*r4, r2 + 3*r3 + 2*r4, r2 + 3*r3 + 2*r4], True)
([2, 9], [-r3, -r3, 2*r2 + 2*r3 + 2*r4, -r3, -r3, 0, -r3, 0, r2 + r4, 2*r2 + r3 + r4], True)
([1, 6], [-r2 - 2*r3 - r4, -r2 - r3 - r4, 0, -r2 - 2*r3 - r4, -r2 - 2*r3 - r4, -r2 - r3 - r4, -r2 - r3 - r4, -r2 - r3 - r4, -r3 - r4, -r3 - r4], True)
([0, 3], [r2 + 2*r3 + r4, r4, r2 + 2*r3 + 2*r4, r2 + 2*r3 + r4, r2 + r3 + r4, r2 + 2*r3 + r4, r4, r2 + 2*r3 + r4, r2 + r3 + r4, r2 + r3 + r4], True)
Distances: 
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r2 - r3))
([1, 2, 6, 8, 9], [2, 8, 9], abs(-r4))
([1, 2, 6, 8, 9], [1, 6], abs(-r3))
([0, 3, 4, 5, 7], [4, 5, 7], abs(-r4))
([0, 3, 4, 5, 7], [0, 3], abs(-r3))
([2, 8, 9], [2, 9], abs(-r2 - r3))
([4, 5, 7], [4, 7], abs(-r2 - r3))


Cone aa2
Leaves and Vertices:
([0], [+Infinity, 0, r1 + r2, r1 + r2, r1 + r2, r1 + r2, 0, r1 + r2, r1 + r2, r1 + r2], False)
([1], [-r2, +Infinity, r1, -r2, -r2, -r2, -r2, -r2, r1, r1], False)
([2], [0, 0, +Infinity, 0, 0, 0, 0, 0, r1 + r2, r1 + 2*r2], False)
([3], [-r1 - 2*r2, -2*r1 - 3*r2, -r1 - 2*r2, +Infinity, -r1 - 2*r2, -r1 - 2*r2, -2*r1 - 3*r2, -r1 - 2*r2, -r1 - 2*r2, -r1 - 2*r2], False)
([4], [r1 + r2, 0, r1 + r2, r1 + r2, +Infinity, r1 + r2, 0, r1 + 2*r2, r1 + r2, r1 + r2], False)
([5], [-r1 - 2*r2, -2*r1 - 3*r2, -r1 - 2*r2, -r1 - 2*r2, -r1 - 2*r2, +Infinity, -2*r1 - 3*r2, -r1 - 2*r2, -r1 - 2*r2, -r1 - 2*r2], False)
([6], [0, 0, r1 + r2, 0, 0, 0, +Infinity, 0, r1 + r2, r1 + r2], False)
([7], [-r1 - r2, -2*r1 - 2*r2, -r1 - r2, -r1 - r2, -r1, -r1 - r2, -2*r1 - 2*r2, +Infinity, -r1 - r2, -r1 - r2], False)
([8], [r2, r2, r1 + 2*r2, r2, r2, r2, r2, r2, +Infinity, r1 + 2*r2], False)
([9], [r2, r2, r1 + 3*r2, r2, r2, r2, r2, r2, r1 + 2*r2, +Infinity], False)
([4, 7], [r1 + r2, 0, r1 + r2, r1 + r2, r1 + 2*r2, r1 + r2, 0, r1 + 2*r2, r1 + r2, r1 + r2], True)
([2, 9], [0, 0, r1 + 2*r2, 0, 0, 0, 0, 0, r1 + r2, r1 + 2*r2], True)
([1, 2, 6, 8, 9], [-r2, -r2, r1, -r2, -r2, -r2, -r2, -r2, r1, r1], True)
([0, 3, 4, 5, 7], [r1 + r2, 0, r1 + r2, r1 + r2, r1 + r2, r1 + r2, 0, r1 + r2, r1 + r2, r1 + r2], True)
Distances: 
([4, 7], [0, 3, 4, 5, 7], abs(-r2))
([2, 9], [1, 2, 6, 8, 9], abs(-r2))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1 - r2))


Cone aa3
Leaves and Vertices:
([0], [+Infinity, 0, r1 + 2*r3, r1 + 2*r3, r1 + r3, r1 + 2*r3, 0, r1 + 2*r3, r1 + r3, r1 + r3], False)
([1], [-2*r3, +Infinity, r1, -2*r3, -2*r3, -r3, -r3, -r3, r1 - r3, r1 - r3], False)
([2], [-r3, -r3, +Infinity, -r3, -r3, 0, -r3, 0, r1, r1 + r3], False)
([3], [-r1 - 2*r3, -2*r1 - 4*r3, -r1 - 2*r3, +Infinity, -r1 - 3*r3, -r1 - 2*r3, -2*r1 - 4*r3, -r1 - 2*r3, -r1 - 3*r3, -r1 - 3*r3], False)
([4], [r1 + 3*r3, 2*r3, r1 + 4*r3, r1 + 3*r3, +Infinity, r1 + 4*r3, 2*r3, r1 + 5*r3, r1 + 3*r3, r1 + 3*r3], False)
([5], [-r1 - 3*r3, -2*r1 - 4*r3, -r1 - 2*r3, -r1 - 3*r3, -r1 - 3*r3, +Infinity, -2*r1 - 4*r3, -r1 - 2*r3, -r1 - 3*r3, -r1 - 3*r3], False)
([6], [0, r3, r1 + 2*r3, 0, 0, r3, +Infinity, r3, r1 + r3, r1 + r3], False)
([7], [-r1, -2*r1 - r3, -r1 + r3, -r1, -r1 + r3, -r1 + r3, -2*r1 - r3, +Infinity, -r1, -r1], False)
([8], [3*r3, 3*r3, r1 + 5*r3, 3*r3, 3*r3, 4*r3, 3*r3, 4*r3, +Infinity, r1 + 4*r3], False)
([9], [3*r3, 3*r3, r1 + 6*r3, 3*r3, 3*r3, 4*r3, 3*r3, 4*r3, r1 + 4*r3, +Infinity], False)
([1, 2, 6, 8, 9], [3*r3, 3*r3, r1 + 5*r3, 3*r3, 3*r3, 4*r3, 3*r3, 4*r3, r1 + 4*r3, r1 + 4*r3], True)
([0, 3, 4, 5, 7], [-r1 - 3*r3, -2*r1 - 4*r3, -r1 - 2*r3, -r1 - 3*r3, -r1 - 3*r3, -r1 - 2*r3, -2*r1 - 4*r3, -r1 - 2*r3, -r1 - 3*r3, -r1 - 3*r3], True)
([4, 7], [r1 + 3*r3, 2*r3, r1 + 4*r3, r1 + 3*r3, r1 + 4*r3, r1 + 4*r3, 2*r3, r1 + 5*r3, r1 + 3*r3, r1 + 3*r3], True)
([2, 9], [-r3, -r3, r1 + 2*r3, -r3, -r3, 0, -r3, 0, r1, r1 + r3], True)
([1, 6], [-2*r3, -r3, r1, -2*r3, -2*r3, -r3, -r3, -r3, r1 - r3, r1 - r3], True)
([0, 3], [r1 + 2*r3, 0, r1 + 2*r3, r1 + 2*r3, r1 + r3, r1 + 2*r3, 0, r1 + 2*r3, r1 + r3, r1 + r3], True)
Distances: 
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1 - r3))
([1, 2, 6, 8, 9], [2, 9], abs(-r3))
([1, 2, 6, 8, 9], [1, 6], abs(-r3))
([0, 3, 4, 5, 7], [4, 7], abs(-r3))
([0, 3, 4, 5, 7], [0, 3], abs(-r3))


Cone aa4
Leaves and Vertices:
([0], [+Infinity, r4, r1 + 3*r4, r1 + 4*r4, r1 + 3*r4, r1 + 3*r4, r4, r1 + 4*r4, r1 + 3*r4, r1 + 2*r4], False)
([1], [0, +Infinity, r1 + 2*r4, 0, 0, r4, r4, r4, r1 + r4, r1 + r4], False)
([2], [-r4, -r4, +Infinity, -r4, -r4, 0, -r4, 0, r1, r1 + r4], False)
([3], [-r1 - r4, -2*r1 - 4*r4, -r1 - 2*r4, +Infinity, -r1 - 2*r4, -r1 - 2*r4, -2*r1 - 4*r4, -r1 - r4, -r1 - 2*r4, -r1 - 3*r4], False)
([4], [r1 + 5*r4, 3*r4, r1 + 5*r4, r1 + 5*r4, +Infinity, r1 + 5*r4, 3*r4, r1 + 7*r4, r1 + 5*r4, r1 + 4*r4], False)
([5], [-r1 - 2*r4, -2*r1 - 3*r4, -r1 - r4, -r1 - 2*r4, -r1 - 2*r4, +Infinity, -2*r1 - 3*r4, -r1 - r4, -r1 - r4, -r1 - 2*r4], False)
([6], [2*r4, 3*r4, r1 + 4*r4, 2*r4, 2*r4, 3*r4, +Infinity, 3*r4, r1 + 3*r4, r1 + 3*r4], False)
([7], [-r1 + r4, -2*r1 - r4, -r1 + r4, -r1 + r4, -r1 + 2*r4, -r1 + r4, -2*r1 - r4, +Infinity, -r1 + r4, -r1], False)
([8], [5*r4, 4*r4, r1 + 6*r4, 5*r4, 5*r4, 6*r4, 4*r4, 6*r4, +Infinity, r1 + 5*r4], False)
([9], [5*r4, 5*r4, r1 + 8*r4, 5*r4, 5*r4, 6*r4, 5*r4, 6*r4, r1 + 6*r4, +Infinity], False)
([1, 2, 6, 9], [0, 0, r1 + 2*r4, 0, 0, r4, 0, r4, r1 + r4, r1 + r4], True)
([0, 3, 4, 7], [r1 + 3*r4, r4, r1 + 3*r4, r1 + 3*r4, r1 + 3*r4, r1 + 3*r4, r4, r1 + 4*r4, r1 + 3*r4, r1 + 2*r4], True)
([1, 2, 6, 8, 9], [5*r4, 4*r4, r1 + 6*r4, 5*r4, 5*r4, 6*r4, 4*r4, 6*r4, r1 + 6*r4, r1 + 5*r4], True)
([0, 3, 4, 5, 7], [-r1 - 2*r4, -2*r1 - 3*r4, -r1 - r4, -r1 - 2*r4, -r1 - 2*r4, -r1 - r4, -2*r1 - 3*r4, -r1 - r4, -r1 - r4, -r1 - 2*r4], True)
([4, 7], [r1 + 5*r4, 3*r4, r1 + 5*r4, r1 + 5*r4, r1 + 6*r4, r1 + 5*r4, 3*r4, r1 + 7*r4, r1 + 5*r4, r1 + 4*r4], True)
([2, 9], [-r4, -r4, r1 + 2*r4, -r4, -r4, 0, -r4, 0, r1, r1 + r4], True)
([1, 6], [0, r4, r1 + 2*r4, 0, 0, r4, r4, r4, r1 + r4, r1 + r4], True)
([0, 3], [r1 + 4*r4, r4, r1 + 3*r4, r1 + 4*r4, r1 + 3*r4, r1 + 3*r4, r4, r1 + 4*r4, r1 + 3*r4, r1 + 2*r4], True)
Distances: 
([1, 2, 6, 9], [1, 2, 6, 8, 9], abs(-r4))
([1, 2, 6, 9], [2, 9], abs(-r4))
([1, 2, 6, 9], [1, 6], abs(-r4))
([0, 3, 4, 7], [0, 3, 4, 5, 7], abs(-r4))
([0, 3, 4, 7], [4, 7], abs(-r4))
([0, 3, 4, 7], [0, 3], abs(-r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1))


Cone a2a3
Leaves and Vertices:
([0], [+Infinity, 0, r2 + 2*r3, r2 + 2*r3, r2 + r3, r2 + 2*r3, 0, r2 + 2*r3, r2 + r3, r2 + r3], False)
([1], [-r2 - 2*r3, +Infinity, 0, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3, -r2 - r3, -r2 - r3, -r3, -r3], False)
([2], [-r3, -r3, +Infinity, -r3, -r3, 0, -r3, 0, r2, 2*r2 + r3], False)
([3], [-2*r2 - 2*r3, -3*r2 - 4*r3, -2*r2 - 2*r3, +Infinity, -2*r2 - 3*r3, -2*r2 - 2*r3, -3*r2 - 4*r3, -2*r2 - 2*r3, -2*r2 - 3*r3, -2*r2 - 3*r3], False)
([4], [r2 + 3*r3, 2*r3, r2 + 4*r3, r2 + 3*r3, +Infinity, r2 + 4*r3, 2*r3, 2*r2 + 5*r3, r2 + 3*r3, r2 + 3*r3], False)
([5], [-2*r2 - 3*r3, -3*r2 - 4*r3, -2*r2 - 2*r3, -2*r2 - 3*r3, -2*r2 - 3*r3, +Infinity, -3*r2 - 4*r3, -2*r2 - 2*r3, -2*r2 - 3*r3, -2*r2 - 3*r3], False)
([6], [0, r3, r2 + 2*r3, 0, 0, r3, +Infinity, r3, r2 + r3, r2 + r3], False)
([7], [-r2, -2*r2 - r3, -r2 + r3, -r2, r3, -r2 + r3, -2*r2 - r3, +Infinity, -r2, -r2], False)
([8], [r2 + 3*r3, r2 + 3*r3, 2*r2 + 5*r3, r2 + 3*r3, r2 + 3*r3, r2 + 4*r3, r2 + 3*r3, r2 + 4*r3, +Infinity, 2*r2 + 4*r3], False)
([9], [r2 + 3*r3, r2 + 3*r3, 3*r2 + 6*r3, r2 + 3*r3, r2 + 3*r3, r2 + 4*r3, r2 + 3*r3, r2 + 4*r3, 2*r2 + 4*r3, +Infinity], False)
([1, 2, 6, 8, 9], [r2 + 3*r3, r2 + 3*r3, 2*r2 + 5*r3, r2 + 3*r3, r2 + 3*r3, r2 + 4*r3, r2 + 3*r3, r2 + 4*r3, 2*r2 + 4*r3, 2*r2 + 4*r3], True)
([0, 3, 4, 5, 7], [-2*r2 - 3*r3, -3*r2 - 4*r3, -2*r2 - 2*r3, -2*r2 - 3*r3, -2*r2 - 3*r3, -2*r2 - 2*r3, -3*r2 - 4*r3, -2*r2 - 2*r3, -2*r2 - 3*r3, -2*r2 - 3*r3], True)
([4, 7], [r2 + 3*r3, 2*r3, r2 + 4*r3, r2 + 3*r3, 2*r2 + 4*r3, r2 + 4*r3, 2*r3, 2*r2 + 5*r3, r2 + 3*r3, r2 + 3*r3], True)
([2, 9], [-r3, -r3, 2*r2 + 2*r3, -r3, -r3, 0, -r3, 0, r2, 2*r2 + r3], True)
([1, 6], [-r2 - 2*r3, -r2 - r3, 0, -r2 - 2*r3, -r2 - 2*r3, -r2 - r3, -r2 - r3, -r2 - r3, -r3, -r3], True)
([0, 3], [r2 + 2*r3, 0, r2 + 2*r3, r2 + 2*r3, r2 + r3, r2 + 2*r3, 0, r2 + 2*r3, r2 + r3, r2 + r3], True)
Distances: 
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r2 - r3))
([1, 2, 6, 8, 9], [2, 9], abs(-r2 - r3))
([1, 2, 6, 8, 9], [1, 6], abs(-r3))
([0, 3, 4, 5, 7], [4, 7], abs(-r2 - r3))
([0, 3, 4, 5, 7], [0, 3], abs(-r3))


Cone a2a4
Leaves and Vertices:
([0], [+Infinity, r4, r2 + 3*r4, r2 + 4*r4, r2 + 3*r4, r2 + 3*r4, r4, r2 + 4*r4, r2 + 3*r4, r2 + 2*r4], False)
([1], [-r2, +Infinity, 2*r4, -r2, -r2, -r2 + r4, -r2 + r4, -r2 + r4, r4, r4], False)
([2], [-r4, -r4, +Infinity, -r4, -r4, 0, -r4, 0, r2, 2*r2 + r4], False)
([3], [-2*r2 - r4, -3*r2 - 4*r4, -2*r2 - 2*r4, +Infinity, -2*r2 - 2*r4, -2*r2 - 2*r4, -3*r2 - 4*r4, -2*r2 - r4, -2*r2 - 2*r4, -2*r2 - 3*r4], False)
([4], [r2 + 5*r4, 3*r4, r2 + 5*r4, r2 + 5*r4, +Infinity, r2 + 5*r4, 3*r4, 2*r2 + 7*r4, r2 + 5*r4, r2 + 4*r4], False)
([5], [-2*r2 - 2*r4, -3*r2 - 3*r4, -2*r2 - r4, -2*r2 - 2*r4, -2*r2 - 2*r4, +Infinity, -3*r2 - 3*r4, -2*r2 - r4, -2*r2 - r4, -2*r2 - 2*r4], False)
([6], [2*r4, 3*r4, r2 + 4*r4, 2*r4, 2*r4, 3*r4, +Infinity, 3*r4, r2 + 3*r4, r2 + 3*r4], False)
([7], [-r2 + r4, -2*r2 - r4, -r2 + r4, -r2 + r4, 2*r4, -r2 + r4, -2*r2 - r4, +Infinity, -r2 + r4, -r2], False)
([8], [r2 + 5*r4, r2 + 4*r4, 2*r2 + 6*r4, r2 + 5*r4, r2 + 5*r4, r2 + 6*r4, r2 + 4*r4, r2 + 6*r4, +Infinity, 2*r2 + 5*r4], False)
([9], [r2 + 5*r4, r2 + 5*r4, 3*r2 + 8*r4, r2 + 5*r4, r2 + 5*r4, r2 + 6*r4, r2 + 5*r4, r2 + 6*r4, 2*r2 + 6*r4, +Infinity], False)
([1, 2, 6, 9], [-r2, -r2, 2*r4, -r2, -r2, -r2 + r4, -r2, -r2 + r4, r4, r4], True)
([0, 3, 4, 7], [r2 + 3*r4, r4, r2 + 3*r4, r2 + 3*r4, r2 + 3*r4, r2 + 3*r4, r4, r2 + 4*r4, r2 + 3*r4, r2 + 2*r4], True)
([1, 2, 6, 8, 9], [r2 + 5*r4, r2 + 4*r4, 2*r2 + 6*r4, r2 + 5*r4, r2 + 5*r4, r2 + 6*r4, r2 + 4*r4, r2 + 6*r4, 2*r2 + 6*r4, 2*r2 + 5*r4], True)
([0, 3, 4, 5, 7], [-2*r2 - 2*r4, -3*r2 - 3*r4, -2*r2 - r4, -2*r2 - 2*r4, -2*r2 - 2*r4, -2*r2 - r4, -3*r2 - 3*r4, -2*r2 - r4, -2*r2 - r4, -2*r2 - 2*r4], True)
([4, 7], [r2 + 5*r4, 3*r4, r2 + 5*r4, r2 + 5*r4, 2*r2 + 6*r4, r2 + 5*r4, 3*r4, 2*r2 + 7*r4, r2 + 5*r4, r2 + 4*r4], True)
([2, 9], [-r4, -r4, 2*r2 + 2*r4, -r4, -r4, 0, -r4, 0, r2, 2*r2 + r4], True)
([1, 6], [-r2, -r2 + r4, 2*r4, -r2, -r2, -r2 + r4, -r2 + r4, -r2 + r4, r4, r4], True)
([0, 3], [r2 + 4*r4, r4, r2 + 3*r4, r2 + 4*r4, r2 + 3*r4, r2 + 3*r4, r4, r2 + 4*r4, r2 + 3*r4, r2 + 2*r4], True)
Distances: 
([1, 2, 6, 9], [1, 2, 6, 8, 9], abs(-r4))
([1, 2, 6, 9], [2, 9], abs(-r2 - r4))
([1, 2, 6, 9], [1, 6], abs(-r4))
([0, 3, 4, 7], [0, 3, 4, 5, 7], abs(-r4))
([0, 3, 4, 7], [4, 7], abs(-r2 - r4))
([0, 3, 4, 7], [0, 3], abs(-r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r2))


Cone a3a4
Leaves and Vertices:
([0], [+Infinity, r4, 2*r3 + 3*r4, 2*r3 + 4*r4, r3 + 3*r4, 2*r3 + 3*r4, r4, 2*r3 + 4*r4, r3 + 3*r4, r3 + 2*r4], False)
([1], [-2*r3, +Infinity, 2*r4, -2*r3, -2*r3, -r3 + r4, -r3 + r4, -r3 + r4, -r3 + r4, -r3 + r4], False)
([2], [-r3 - r4, -r3 - r4, +Infinity, -r3 - r4, -r3 - r4, 0, -r3 - r4, 0, 0, r3 + r4], False)
([3], [-2*r3 - r4, -4*r3 - 4*r4, -2*r3 - 2*r4, +Infinity, -3*r3 - 2*r4, -2*r3 - 2*r4, -4*r3 - 4*r4, -2*r3 - r4, -3*r3 - 2*r4, -3*r3 - 3*r4], False)
([4], [3*r3 + 5*r4, 2*r3 + 3*r4, 4*r3 + 5*r4, 3*r3 + 5*r4, +Infinity, 4*r3 + 5*r4, 2*r3 + 3*r4, 5*r3 + 7*r4, 3*r3 + 5*r4, 3*r3 + 4*r4], False)
([5], [-3*r3 - 2*r4, -4*r3 - 3*r4, -2*r3 - r4, -3*r3 - 2*r4, -3*r3 - 2*r4, +Infinity, -4*r3 - 3*r4, -2*r3 - r4, -3*r3 - r4, -3*r3 - 2*r4], False)
([6], [2*r4, r3 + 3*r4, 2*r3 + 4*r4, 2*r4, 2*r4, r3 + 3*r4, +Infinity, r3 + 3*r4, r3 + 3*r4, r3 + 3*r4], False)
([7], [r4, -r3 - r4, r3 + r4, r4, r3 + 2*r4, r3 + r4, -r3 - r4, +Infinity, r4, 0], False)
([8], [3*r3 + 5*r4, 3*r3 + 4*r4, 5*r3 + 6*r4, 3*r3 + 5*r4, 3*r3 + 5*r4, 4*r3 + 6*r4, 3*r3 + 4*r4, 4*r3 + 6*r4, +Infinity, 4*r3 + 5*r4], False)
([9], [3*r3 + 5*r4, 3*r3 + 5*r4, 6*r3 + 8*r4, 3*r3 + 5*r4, 3*r3 + 5*r4, 4*r3 + 6*r4, 3*r3 + 5*r4, 4*r3 + 6*r4, 4*r3 + 6*r4, +Infinity], False)
([1, 2, 6, 9], [-2*r3, -2*r3, 2*r4, -2*r3, -2*r3, -r3 + r4, -2*r3, -r3 + r4, -r3 + r4, -r3 + r4], True)
([0, 3, 4, 7], [r3 + 3*r4, r4, 2*r3 + 3*r4, r3 + 3*r4, r3 + 3*r4, 2*r3 + 3*r4, r4, 2*r3 + 4*r4, r3 + 3*r4, r3 + 2*r4], True)
([1, 2, 6, 8, 9], [3*r3 + 5*r4, 3*r3 + 4*r4, 5*r3 + 6*r4, 3*r3 + 5*r4, 3*r3 + 5*r4, 4*r3 + 6*r4, 3*r3 + 4*r4, 4*r3 + 6*r4, 4*r3 + 6*r4, 4*r3 + 5*r4], True)
([0, 3, 4, 5, 7], [-3*r3 - 2*r4, -4*r3 - 3*r4, -2*r3 - r4, -3*r3 - 2*r4, -3*r3 - 2*r4, -2*r3 - r4, -4*r3 - 3*r4, -2*r3 - r4, -3*r3 - r4, -3*r3 - 2*r4], True)
([4, 7], [3*r3 + 5*r4, 2*r3 + 3*r4, 4*r3 + 5*r4, 3*r3 + 5*r4, 4*r3 + 6*r4, 4*r3 + 5*r4, 2*r3 + 3*r4, 5*r3 + 7*r4, 3*r3 + 5*r4, 3*r3 + 4*r4], True)
([2, 9], [-r3 - r4, -r3 - r4, 2*r3 + 2*r4, -r3 - r4, -r3 - r4, 0, -r3 - r4, 0, 0, r3 + r4], True)
([1, 6], [-2*r3, -r3 + r4, 2*r4, -2*r3, -2*r3, -r3 + r4, -r3 + r4, -r3 + r4, -r3 + r4, -r3 + r4], True)
([0, 3], [2*r3 + 4*r4, r4, 2*r3 + 3*r4, 2*r3 + 4*r4, r3 + 3*r4, 2*r3 + 3*r4, r4, 2*r3 + 4*r4, r3 + 3*r4, r3 + 2*r4], True)
Distances: 
([1, 2, 6, 9], [1, 2, 6, 8, 9], abs(-r4))
([1, 2, 6, 9], [2, 9], abs(-r3 - r4))
([1, 2, 6, 9], [1, 6], abs(-r3 - r4))
([0, 3, 4, 7], [0, 3, 4, 5, 7], abs(-r4))
([0, 3, 4, 7], [4, 7], abs(-r3 - r4))
([0, 3, 4, 7], [0, 3], abs(-r3 - r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r3))


Cone ab
Leaves and Vertices:
([0], [+Infinity, r4, r1 + 2*r4, r1 + r4, r1 + r4, r1 + r4, r4, r1 + r4, r1 + r4, r1 + r4], False)
([1], [-r4, +Infinity, r1, -r4, -r4, -r4, -r4, -r4, r1 - r4, r1 - r4], False)
([2], [0, 0, +Infinity, 0, 0, 0, 0, 0, r1 + r4, r1 + r4], False)
([3], [-r1 - r4, -2*r1 - r4, -r1, +Infinity, -r1 - r4, -r1 - r4, -2*r1 - r4, -r1 - r4, -r1 - r4, -r1 - r4], False)
([4], [r1 + 2*r4, 2*r4, r1 + 3*r4, r1 + 2*r4, +Infinity, r1 + 3*r4, 2*r4, r1 + 3*r4, r1 + 2*r4, r1 + 2*r4], False)
([5], [-r1 - 2*r4, -2*r1 - 2*r4, -r1 - r4, -r1 - 2*r4, -r1 - r4, +Infinity, -2*r1 - 2*r4, -r1 - r4, -r1 - 2*r4, -r1 - 2*r4], False)
([6], [r4, r4, r1 + 2*r4, r4, r4, r4, +Infinity, r4, r1 + r4, r1 + r4], False)
([7], [-r1 + r4, -2*r1 + r4, -r1 + 2*r4, -r1 + r4, -r1 + 2*r4, -r1 + 2*r4, -2*r1 + r4, +Infinity, -r1 + r4, -r1 + r4], False)
([8], [2*r4, 2*r4, r1 + 4*r4, 2*r4, 2*r4, 2*r4, 2*r4, 2*r4, +Infinity, r1 + 3*r4], False)
([9], [2*r4, 2*r4, r1 + 4*r4, 2*r4, 2*r4, 2*r4, 2*r4, 2*r4, r1 + 3*r4, +Infinity], False)
([4, 5, 7], [r1 + 2*r4, 2*r4, r1 + 3*r4, r1 + 2*r4, r1 + 3*r4, r1 + 3*r4, 2*r4, r1 + 3*r4, r1 + 2*r4, r1 + 2*r4], True)
([2, 8, 9], [0, 0, r1 + 2*r4, 0, 0, 0, 0, 0, r1 + r4, r1 + r4], True)
([1, 2, 6, 8, 9], [-r4, -r4, r1, -r4, -r4, -r4, -r4, -r4, r1 - r4, r1 - r4], True)
([0, 3, 4, 5, 7], [r1 + r4, r4, r1 + 2*r4, r1 + r4, r1 + r4, r1 + r4, r4, r1 + r4, r1 + r4, r1 + r4], True)
Distances: 
([4, 5, 7], [0, 3, 4, 5, 7], abs(-r4))
([2, 8, 9], [1, 2, 6, 8, 9], abs(-r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1))


Cone a2b
Leaves and Vertices:
([0], [+Infinity, r4, r2 + 2*r4, r2 + r4, r2 + r4, r2 + r4, r4, r2 + r4, r2 + r4, r2 + r4], False)
([1], [-r2 - r4, +Infinity, 0, -r2 - r4, -r2 - r4, -r2 - r4, -r2 - r4, -r2 - r4, -r4, -r4], False)
([2], [0, 0, +Infinity, 0, 0, 0, 0, 0, r2 + r4, 2*r2 + r4], False)
([3], [-2*r2 - r4, -3*r2 - r4, -2*r2, +Infinity, -2*r2 - r4, -2*r2 - r4, -3*r2 - r4, -2*r2 - r4, -2*r2 - r4, -2*r2 - r4], False)
([4], [r2 + 2*r4, 2*r4, r2 + 3*r4, r2 + 2*r4, +Infinity, r2 + 3*r4, 2*r4, 2*r2 + 3*r4, r2 + 2*r4, r2 + 2*r4], False)
([5], [-2*r2 - 2*r4, -3*r2 - 2*r4, -2*r2 - r4, -2*r2 - 2*r4, -2*r2 - r4, +Infinity, -3*r2 - 2*r4, -2*r2 - r4, -2*r2 - 2*r4, -2*r2 - 2*r4], False)
([6], [r4, r4, r2 + 2*r4, r4, r4, r4, +Infinity, r4, r2 + r4, r2 + r4], False)
([7], [-r2 + r4, -2*r2 + r4, -r2 + 2*r4, -r2 + r4, 2*r4, -r2 + 2*r4, -2*r2 + r4, +Infinity, -r2 + r4, -r2 + r4], False)
([8], [r2 + 2*r4, r2 + 2*r4, 2*r2 + 4*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, +Infinity, 2*r2 + 3*r4], False)
([9], [r2 + 2*r4, r2 + 2*r4, 3*r2 + 4*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, 2*r2 + 3*r4, +Infinity], False)
([2, 8, 9], [r2 + 2*r4, r2 + 2*r4, 2*r2 + 4*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, r2 + 2*r4, 2*r2 + 3*r4, 2*r2 + 3*r4], True)
([4, 5, 7], [-2*r2 - 2*r4, -3*r2 - 2*r4, -2*r2 - r4, -2*r2 - 2*r4, -2*r2 - r4, -2*r2 - r4, -3*r2 - 2*r4, -2*r2 - r4, -2*r2 - 2*r4, -2*r2 - 2*r4], True)
([4, 7], [r2 + 2*r4, 2*r4, r2 + 3*r4, r2 + 2*r4, 2*r2 + 3*r4, r2 + 3*r4, 2*r4, 2*r2 + 3*r4, r2 + 2*r4, r2 + 2*r4], True)
([2, 9], [0, 0, 2*r2 + 2*r4, 0, 0, 0, 0, 0, r2 + r4, 2*r2 + r4], True)
([1, 2, 6, 8, 9], [-r2 - r4, -r2 - r4, 0, -r2 - r4, -r2 - r4, -r2 - r4, -r2 - r4, -r2 - r4, -r4, -r4], True)
([0, 3, 4, 5, 7], [r2 + r4, r4, r2 + 2*r4, r2 + r4, r2 + r4, r2 + r4, r4, r2 + r4, r2 + r4, r2 + r4], True)
Distances: 
([2, 8, 9], [2, 9], abs(-r2))
([2, 8, 9], [1, 2, 6, 8, 9], abs(-r4))
([4, 5, 7], [4, 7], abs(-r2))
([4, 5, 7], [0, 3, 4, 5, 7], abs(-r4))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r2))


Cone a3b
Leaves and Vertices:
([0], [+Infinity, r4, 2*r3 + 2*r4, 2*r3 + r4, r3 + r4, 2*r3 + r4, r4, 2*r3 + r4, r3 + r4, r3 + r4], False)
([1], [-2*r3 - r4, +Infinity, 0, -2*r3 - r4, -2*r3 - r4, -r3 - r4, -r3 - r4, -r3 - r4, -r3 - r4, -r3 - r4], False)
([2], [-r3, -r3, +Infinity, -r3, -r3, 0, -r3, 0, r4, r3 + r4], False)
([3], [-2*r3 - r4, -4*r3 - r4, -2*r3, +Infinity, -3*r3 - r4, -2*r3 - r4, -4*r3 - r4, -2*r3 - r4, -3*r3 - r4, -3*r3 - r4], False)
([4], [3*r3 + 2*r4, 2*r3 + 2*r4, 4*r3 + 3*r4, 3*r3 + 2*r4, +Infinity, 4*r3 + 3*r4, 2*r3 + 2*r4, 5*r3 + 3*r4, 3*r3 + 2*r4, 3*r3 + 2*r4], False)
([5], [-3*r3 - 2*r4, -4*r3 - 2*r4, -2*r3 - r4, -3*r3 - 2*r4, -3*r3 - r4, +Infinity, -4*r3 - 2*r4, -2*r3 - r4, -3*r3 - 2*r4, -3*r3 - 2*r4], False)
([6], [r4, r3 + r4, 2*r3 + 2*r4, r4, r4, r3 + r4, +Infinity, r3 + r4, r3 + r4, r3 + r4], False)
([7], [r4, -r3 + r4, r3 + 2*r4, r4, r3 + 2*r4, r3 + 2*r4, -r3 + r4, +Infinity, r4, r4], False)
([8], [3*r3 + 2*r4, 3*r3 + 2*r4, 5*r3 + 4*r4, 3*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, +Infinity, 4*r3 + 3*r4], False)
([9], [3*r3 + 2*r4, 3*r3 + 2*r4, 6*r3 + 4*r4, 3*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, 4*r3 + 3*r4, +Infinity], False)
([1, 2, 6, 8, 9], [-2*r3 - r4, -2*r3 - r4, 0, -2*r3 - r4, -2*r3 - r4, -r3 - r4, -2*r3 - r4, -r3 - r4, -r3 - r4, -r3 - r4], True)
([0, 3, 4, 5, 7], [r3 + r4, r4, 2*r3 + 2*r4, r3 + r4, r3 + r4, 2*r3 + r4, r4, 2*r3 + r4, r3 + r4, r3 + r4], True)
([2, 8, 9], [3*r3 + 2*r4, 3*r3 + 2*r4, 5*r3 + 4*r4, 3*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, 3*r3 + 2*r4, 4*r3 + 2*r4, 4*r3 + 3*r4, 4*r3 + 3*r4], True)
([4, 5, 7], [-3*r3 - 2*r4, -4*r3 - 2*r4, -2*r3 - r4, -3*r3 - 2*r4, -3*r3 - r4, -2*r3 - r4, -4*r3 - 2*r4, -2*r3 - r4, -3*r3 - 2*r4, -3*r3 - 2*r4], True)
([4, 7], [3*r3 + 2*r4, 2*r3 + 2*r4, 4*r3 + 3*r4, 3*r3 + 2*r4, 4*r3 + 3*r4, 4*r3 + 3*r4, 2*r3 + 2*r4, 5*r3 + 3*r4, 3*r3 + 2*r4, 3*r3 + 2*r4], True)
([2, 9], [-r3, -r3, 2*r3 + 2*r4, -r3, -r3, 0, -r3, 0, r4, r3 + r4], True)
([1, 6], [-2*r3 - r4, -r3 - r4, 0, -2*r3 - r4, -2*r3 - r4, -r3 - r4, -r3 - r4, -r3 - r4, -r3 - r4, -r3 - r4], True)
([0, 3], [2*r3 + r4, r4, 2*r3 + 2*r4, 2*r3 + r4, r3 + r4, 2*r3 + r4, r4, 2*r3 + r4, r3 + r4, r3 + r4], True)
Distances: 
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r3))
([1, 2, 6, 8, 9], [2, 8, 9], abs(-r4))
([1, 2, 6, 8, 9], [1, 6], abs(-r3))
([0, 3, 4, 5, 7], [4, 5, 7], abs(-r4))
([0, 3, 4, 5, 7], [0, 3], abs(-r3))
([2, 8, 9], [2, 9], abs(-r3))
([4, 5, 7], [4, 7], abs(-r3))


Cone a
Leaves and Vertices:
([0], [+Infinity, 0, r1, r1, r1, r1, 0, r1, r1, r1], False)
([1], [0, +Infinity, r1, 0, 0, 0, 0, 0, r1, r1], False)
([2], [0, 0, +Infinity, 0, 0, 0, 0, 0, r1, r1], False)
([3], [-r1, -2*r1, -r1, +Infinity, -r1, -r1, -2*r1, -r1, -r1, -r1], False)
([4], [r1, 0, r1, r1, +Infinity, r1, 0, r1, r1, r1], False)
([5], [-r1, -2*r1, -r1, -r1, -r1, +Infinity, -2*r1, -r1, -r1, -r1], False)
([6], [0, 0, r1, 0, 0, 0, +Infinity, 0, r1, r1], False)
([7], [-r1, -2*r1, -r1, -r1, -r1, -r1, -2*r1, +Infinity, -r1, -r1], False)
([8], [0, 0, r1, 0, 0, 0, 0, 0, +Infinity, r1], False)
([9], [0, 0, r1, 0, 0, 0, 0, 0, r1, +Infinity], False)
([1, 2, 6, 8, 9], [0, 0, r1, 0, 0, 0, 0, 0, r1, r1], True)
([0, 3, 4, 5, 7], [r1, 0, r1, r1, r1, r1, 0, r1, r1, r1], True)
Distances: 
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r1))


Cone a2
Leaves and Vertices:
([0], [+Infinity, 0, r2, r2, r2, r2, 0, r2, r2, r2], False)
([1], [-r2, +Infinity, 0, -r2, -r2, -r2, -r2, -r2, 0, 0], False)
([2], [0, 0, +Infinity, 0, 0, 0, 0, 0, r2, 2*r2], False)
([3], [-2*r2, -3*r2, -2*r2, +Infinity, -2*r2, -2*r2, -3*r2, -2*r2, -2*r2, -2*r2], False)
([4], [r2, 0, r2, r2, +Infinity, r2, 0, 2*r2, r2, r2], False)
([5], [-2*r2, -3*r2, -2*r2, -2*r2, -2*r2, +Infinity, -3*r2, -2*r2, -2*r2, -2*r2], False)
([6], [0, 0, r2, 0, 0, 0, +Infinity, 0, r2, r2], False)
([7], [-r2, -2*r2, -r2, -r2, 0, -r2, -2*r2, +Infinity, -r2, -r2], False)
([8], [r2, r2, 2*r2, r2, r2, r2, r2, r2, +Infinity, 2*r2], False)
([9], [r2, r2, 3*r2, r2, r2, r2, r2, r2, 2*r2, +Infinity], False)
([4, 7], [r2, 0, r2, r2, 2*r2, r2, 0, 2*r2, r2, r2], True)
([2, 9], [0, 0, 2*r2, 0, 0, 0, 0, 0, r2, 2*r2], True)
([1, 2, 6, 8, 9], [-r2, -r2, 0, -r2, -r2, -r2, -r2, -r2, 0, 0], True)
([0, 3, 4, 5, 7], [r2, 0, r2, r2, r2, r2, 0, r2, r2, r2], True)
Distances: 
([4, 7], [0, 3, 4, 5, 7], abs(-r2))
([2, 9], [1, 2, 6, 8, 9], abs(-r2))
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r2))


Cone a3
Leaves and Vertices:
([0], [+Infinity, 0, 2*r3, 2*r3, r3, 2*r3, 0, 2*r3, r3, r3], False)
([1], [-2*r3, +Infinity, 0, -2*r3, -2*r3, -r3, -r3, -r3, -r3, -r3], False)
([2], [-r3, -r3, +Infinity, -r3, -r3, 0, -r3, 0, 0, r3], False)
([3], [-2*r3, -4*r3, -2*r3, +Infinity, -3*r3, -2*r3, -4*r3, -2*r3, -3*r3, -3*r3], False)
([4], [3*r3, 2*r3, 4*r3, 3*r3, +Infinity, 4*r3, 2*r3, 5*r3, 3*r3, 3*r3], False)
([5], [-3*r3, -4*r3, -2*r3, -3*r3, -3*r3, +Infinity, -4*r3, -2*r3, -3*r3, -3*r3], False)
([6], [0, r3, 2*r3, 0, 0, r3, +Infinity, r3, r3, r3], False)
([7], [0, -r3, r3, 0, r3, r3, -r3, +Infinity, 0, 0], False)
([8], [3*r3, 3*r3, 5*r3, 3*r3, 3*r3, 4*r3, 3*r3, 4*r3, +Infinity, 4*r3], False)
([9], [3*r3, 3*r3, 6*r3, 3*r3, 3*r3, 4*r3, 3*r3, 4*r3, 4*r3, +Infinity], False)
([1, 2, 6, 8, 9], [3*r3, 3*r3, 5*r3, 3*r3, 3*r3, 4*r3, 3*r3, 4*r3, 4*r3, 4*r3], True)
([0, 3, 4, 5, 7], [-3*r3, -4*r3, -2*r3, -3*r3, -3*r3, -2*r3, -4*r3, -2*r3, -3*r3, -3*r3], True)
([4, 7], [3*r3, 2*r3, 4*r3, 3*r3, 4*r3, 4*r3, 2*r3, 5*r3, 3*r3, 3*r3], True)
([2, 9], [-r3, -r3, 2*r3, -r3, -r3, 0, -r3, 0, 0, r3], True)
([1, 6], [-2*r3, -r3, 0, -2*r3, -2*r3, -r3, -r3, -r3, -r3, -r3], True)
([0, 3], [2*r3, 0, 2*r3, 2*r3, r3, 2*r3, 0, 2*r3, r3, r3], True)
Distances: 
([1, 2, 6, 8, 9], [0, 3, 4, 5, 7], abs(-r3))
([1, 2, 6, 8, 9], [2, 9], abs(-r3))
([1, 2, 6, 8, 9], [1, 6], abs(-r3))
([0, 3, 4, 5, 7], [4, 7], abs(-r3))
([0, 3, 4, 5, 7], [0, 3], abs(-r3))


Cone a4
Leaves and Vertices:
([0], [+Infinity, r4, 3*r4, 4*r4, 3*r4, 3*r4, r4, 4*r4, 3*r4, 2*r4], False)
([1], [0, +Infinity, 2*r4, 0, 0, r4, r4, r4, r4, r4], False)
([2], [-r4, -r4, +Infinity, -r4, -r4, 0, -r4, 0, 0, r4], False)
([3], [-r4, -4*r4, -2*r4, +Infinity, -2*r4, -2*r4, -4*r4, -r4, -2*r4, -3*r4], False)
([4], [5*r4, 3*r4, 5*r4, 5*r4, +Infinity, 5*r4, 3*r4, 7*r4, 5*r4, 4*r4], False)
([5], [-2*r4, -3*r4, -r4, -2*r4, -2*r4, +Infinity, -3*r4, -r4, -r4, -2*r4], False)
([6], [2*r4, 3*r4, 4*r4, 2*r4, 2*r4, 3*r4, +Infinity, 3*r4, 3*r4, 3*r4], False)
([7], [r4, -r4, r4, r4, 2*r4, r4, -r4, +Infinity, r4, 0], False)
([8], [5*r4, 4*r4, 6*r4, 5*r4, 5*r4, 6*r4, 4*r4, 6*r4, +Infinity, 5*r4], False)
([9], [5*r4, 5*r4, 8*r4, 5*r4, 5*r4, 6*r4, 5*r4, 6*r4, 6*r4, +Infinity], False)
([1, 2, 6, 9], [0, 0, 2*r4, 0, 0, r4, 0, r4, r4, r4], True)
([0, 3, 4, 7], [3*r4, r4, 3*r4, 3*r4, 3*r4, 3*r4, r4, 4*r4, 3*r4, 2*r4], True)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [-2*r4, -3*r4, -r4, -2*r4, -2*r4, -r4, -3*r4, -r4, -r4, -2*r4], True)
([4, 7], [5*r4, 3*r4, 5*r4, 5*r4, 6*r4, 5*r4, 3*r4, 7*r4, 5*r4, 4*r4], True)
([2, 9], [-r4, -r4, 2*r4, -r4, -r4, 0, -r4, 0, 0, r4], True)
([1, 6], [0, r4, 2*r4, 0, 0, r4, r4, r4, r4, r4], True)
([0, 3], [4*r4, r4, 3*r4, 4*r4, 3*r4, 3*r4, r4, 4*r4, 3*r4, 2*r4], True)
Distances: 
([1, 2, 6, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], abs(-r4))
([1, 2, 6, 9], [2, 9], abs(-r4))
([1, 2, 6, 9], [1, 6], abs(-r4))
([0, 3, 4, 7], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], abs(-r4))
([0, 3, 4, 7], [4, 7], abs(-r4))
([0, 3, 4, 7], [0, 3], abs(-r4))


Cone b
Leaves and Vertices:
([0], [+Infinity, r4, 2*r4, r4, r4, r4, r4, r4, r4, r4], False)
([1], [-r4, +Infinity, 0, -r4, -r4, -r4, -r4, -r4, -r4, -r4], False)
([2], [0, 0, +Infinity, 0, 0, 0, 0, 0, r4, r4], False)
([3], [-r4, -r4, 0, +Infinity, -r4, -r4, -r4, -r4, -r4, -r4], False)
([4], [2*r4, 2*r4, 3*r4, 2*r4, +Infinity, 3*r4, 2*r4, 3*r4, 2*r4, 2*r4], False)
([5], [-2*r4, -2*r4, -r4, -2*r4, -r4, +Infinity, -2*r4, -r4, -2*r4, -2*r4], False)
([6], [r4, r4, 2*r4, r4, r4, r4, +Infinity, r4, r4, r4], False)
([7], [r4, r4, 2*r4, r4, 2*r4, 2*r4, r4, +Infinity, r4, r4], False)
([8], [2*r4, 2*r4, 4*r4, 2*r4, 2*r4, 2*r4, 2*r4, 2*r4, +Infinity, 3*r4], False)
([9], [2*r4, 2*r4, 4*r4, 2*r4, 2*r4, 2*r4, 2*r4, 2*r4, 3*r4, +Infinity], False)
([4, 5, 7], [2*r4, 2*r4, 3*r4, 2*r4, 3*r4, 3*r4, 2*r4, 3*r4, 2*r4, 2*r4], True)
([2, 8, 9], [0, 0, 2*r4, 0, 0, 0, 0, 0, r4, r4], True)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [r4, r4, 2*r4, r4, r4, r4, r4, r4, r4, r4], True)
Distances: 
([4, 5, 7], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], abs(-r4))
([2, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], abs(-r4))