d120

Continuing the discussion from Talk to @discobot here!:

I asked @discobot to roll 1d1000, and they share with me that interesting article from Wired. It’s pretty cool, in more a science sense than a geeky gaming sense. Check it out!

Their 120-sided polyhedron has 12 vertices where 10 triangles meet. Henry and Robert wanted the numbers on the 10 faces that surround a vertex of this type to add up to 605, which is 10 times 60.5 (the average of all the numbers from 1 to 120).

In addition, the polyhedron has 20 vertices where 6 triangles meet. Henry and Robert wanted the numbers on the 6 faces that surround a vertex of this type to add up to 363, which is 6 times 60.5.

Finally, the polyhedron has 30 vertices where 4 triangles meet. Here, they wanted the vertex sums to be 242, which is 4 times 60.5.

Henry and Robert did not know (nor did I) if it was possible to construct a numbering satisfying all of these conditions.

Hi! To find out what I can do, say @discobot display help.