The sandpiles on the beach
Puzzling Asked on August 31, 2021
We call a convex polyhedron a sandpile if one of the faces, called base, has a common edge with all the other faces. Furthermore, each vertex is linked with three edges. We consider the sandpiles by vertex translations, rotations and symmetries close. Therefore, there are 3 sandpiles with a hexagonal base:
How many sandpiles have a base with 9 edges?
One Answer
27
Correct answer by Brian Hopkins on August 31, 2021
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