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Penturanga. Chaturanga on a board with 46 pentagonal cells. (8x5, Cells: 46) [All Comments] [Add Comment or Rating]
💡📝Graeme Neatham wrote on Mon, Dec 3, 2007 05:39 PM UTC:

Your example piece is a red herring.

My example piece may well be called a herring, red or otherwise, but it illustrates that topological equivalence, though necessary, is not sufficient for game equivalence. That having been said, I agree that for the pieces actually used in Penturanga there is game equivalence between the pentagonal and the hexagonal boards.

... but this is a mathematical problem with a definitive answer.

Exactly! A square has 4 sides, a hexagon has 6 sides, a triangle 3 sides, and a pentagon 5 sides. A board with 6-sided cells is termed hexagonal, so surely it is correct to term a board with 5-sided cells pentagonal?

Cheers
Graeme