Check out McCooey's Hexagonal Chess, our featured variant for May, 2025.


[ Help | Earliest Comments | Latest Comments ]
[ List All Subjects of Discussion | Create New Subject of Discussion ]
[ List Earliest Comments Only For Pages | Games | Rated Pages | Rated Games | Subjects of Discussion ]

Single Comment

Chess Geometry[Subject Thread] [Add Response]
Ben Reiniger wrote on Sun, Nov 17, 2013 04:11 PM EST:
So is your conjecture that in the hex-grid (or triangular grid depending on
how you look at it), there are no two right triangles that share a
hypotenuse with odd squared length?

EDIT: I should probably add "where the legs of the triangles are along the orthogonal and diagonal directions".

More edit: and to avoid the trivial swapping of the order of diagonal/orthogonal steps, make it "nonisomorphic triangles"