 There are 3 strictly convex hexatiles, a hexagon, rhombus and triangle. |
Hexatiles
Hexatiles can fill the plane along the boundaries of a triangular grid, with angles 60°. All hexatiles have their vertices and edges along the vertices and edges of triangular graph paper.
A polyiamond is a tile constructed by the union of edge-to-edge equilateral triangles, used in puzzles to fill open or closed domains in the plane.
Tilings of simple Hexatiles
Clear on any image to enlarge.
 6:1.0.1.2.0.0.2; 6:1.2^2 |
 6:0.2.1.1.2 |
 6:(1^4).0.2.0 |
 6:-1.0.2.1.0.0.2.0.2 |
 6:0.2.1^2 |
 6:2.-1.1^3 |
 6:-2.1.2.0.0.2.0.0.0.2.1.0 |
 -201002000-20102000-202-10 20-120-20002010-200020010 |
 6:-1.1.1^6 |
© 2020-2021 Created by Tom Ruen