There are no tilings of the equilateral triangle of side length 7 by all the polyhexes of order . There are nine distinct solutions of all the polyhexes of order which tile a parallelogram of base length 7 and side length 4, one of which is illustrated above (Beeler 1972).
Polyhex Tiling
See also
Polyhex, Polyiamond Tiling, Polyomino TilingExplore with Wolfram|Alpha
References
Beeler, M. Item 112 in Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, pp. 48-50, Feb. 1972. http://www.inwap.com/pdp10/hbaker/hakmem/polyominos.html#item112.Myers, J. "Polyomino Tiling." http://www.srcf.ucam.org/~jsm28/tiling/.Referenced on Wolfram|Alpha
Polyhex TilingCite this as:
Weisstein, Eric W. "Polyhex Tiling." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PolyhexTiling.html