It is known if we use two convex polygons with equal sides we can cover the plane periodically in few ways. One new way to cover the plane periodically is if we use rhombuses and octagons of equal integer sides. My question is Is it possible for the rhombuses to have diagonals which are integer numbers and the octagons to have angles integer numbers of degrees in this type of tiling?
A new periodic tiling of the plane
0
$\begingroup$
tiling