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Polyhedra construction (Posted on 2006-07-17) Difficulty: 3 of 5
A certain polyhedron is constructed such that each vertex is the intersection of five triangles. How many vertices are there?

Was that easy? Try these.

...such that each vertex is the intersection of...
1. three squares and a triangle
2. three triangles and a square
3. four triangles and a square
4. a triangle, square, pentagon, and square in that order
5. a decagon, hexagon, and square

Notice any patterns?

See The Solution Submitted by Tristan    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: A ReferenceDej Mar2006-07-18 13:56:22
A ReferenceRichard2006-07-18 12:35:02
Some ThoughtsA solid start....(spoiler)Dej Mar2006-07-17 12:24:24
SolutionSolutionBractals2006-07-17 12:21:44
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