Ponder This — February’s Challenge

Are you a professional problem solver? If so, we invite you to submit your “Ponder This” solution for this month’s challenge. Ponder This is IBM Research’s monthly brain-twister where you can match wits with some of the best minds at IBM.

Ponder This Challenge:

If you juxtapose a regular hexagon to an equilateral triangle (where all the edges of both polygons share 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 shares the same unit length) on a common tetrahedron – how many vertices, edges, faces, and cells would the resulting polychoron have?

__________

IBM Research will post the names of those who submit a correct, original solution to their website! If you don’t want your name posted then please include such a statement in your submission. Send your submission to the webmaster.

If you have any problems you think we might enjoy, please send them in. All replies should be sent to: webmster@us.ibm.com

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