If you juxtapose a regular hexagon to an equilateral triangle (where all the edges of both polygons are of the same unit length) on a common edge - you get a polygon with five vertices; five edges; and one face.
If you juxtapose a four-dimensional pyramid whose base is a right triangular prism to a four-dimensional pyramid whose base is a tetrahedron (again: all the edges of both polychora are of the same unit length) on a common tetrahedron - how many vertices, edges, faces, and cells would the resulting polychoron have?
Update 2/12: Hint: you may use Euler's formula to check your answer.
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01/31/2014 @ 01:00 PM EST
Solution: 03/03/2014 @ 01:00 PM EST
List Updated: 02/13/2014 @ 01:00 PM EST
People who answered correctly:
Dan Dima (02/01/2014 09:27 AM EDT)
Oleg Vlasii (02/02/2014 05:46 AM EDT)
Igor Novak (02/03/2014 01:54 PM EDT)
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