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 A New Solid (Posted on 2004-10-05)
A regular tetrahedron has four equilateral triangles as faces. A regular square pyramid has four equilateral triangles and a square as faces. The faces of the tetrahedron are congruent to the triangular faces of the square pyramid.

A new polyhedron is created by gluing the tetrahedron and the square pyramid together at a triangular face so that the vertices of the triangles coincide. How many faces does this polyhedron have?

 See The Solution Submitted by Brian Smith Rating: 4.1250 (8 votes)

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 re: Surely not the intended solution ! | Comment 3 of 19 |
(In reply to Surely not the intended solution ! by Syzygy)

if the triangles on the tetrahedron are the same size as the triangles of the square pyramid the angles are such that you create a "leaning" tetrahedron. 5 faces!
 Posted by Jonathan Fletcher on 2004-10-05 12:38:22

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