# Polyiamond and Polyming Tiling

 Tiling a Triangle with a Polyiamond. Tile a triangular polyiamond with copies of a given polyiamond. Tiling a Triangle with a Scaled Polyiamond. Tile a triangular polyiamond with copies of a given polyiamond at various scales. Two-Hexiamond Balanced Hexagons. Tile a regular hexagon with two hexiamonds in equal quantities. Two-Hexiamond Balanced Parallelograms. Tile a parallelogram with two hexiamonds in equal quantities. Polyiamond Hexagon Tiling. Tile a straight or ragged hexagon with various polyiamonds. Full Symmetry from Pairs of Hexiamonds. Use copies of two hexiamonds to form a shape with full (snowflake) symmetry. Hexiamond Triplets. Arrange the 12 hexiamonds to form three congruent polyiamonds. Yin-Yang Diamonds. Arrange the 12 hexiamonds to cover a bi-colored diamond. Tiling a Polyhex with the 12 Hexiamonds. Arrange the 12 hexiamonds to form a polyhex. Similar Hexiamond Figures, 2–2–8. With the 12 hexiamonds, make three similar figures, one at double scale. Minimal Convex Polyiamond Tilings. With copies of a given polyiamond make the smallest convex polyiamond. Convex Polygons from Pairs of Polyiamonds. With copies of two given polyiamonds make the smallest convex polyiamond. Convex Polygons from Pairs of Scaled Polyiamonds. With as few scaled copies of two given polyiamonds as possible, using at least one of each, make a convex polyiamond. Polyiamond Convexification with Holes. Arrange copies of a given polyiamond to form a convex polyiamond with single-cell holes in it. Convex Polygons from the 12 Hexiamonds. Arrange the 12 hexiamonds to form a convex polyiamond. Convex Polygons from Three Hexiamonds. With copies of three given hexiamonds make the smallest convex polyiamond. Similar Polyiamonds Forming a Convex Shape. Arrange scaled copies of a polyiamond to make a convex polyiamond. Polyiamond Bireptiles. Join two copies of a polyiamond, then dissect the result into equal smaller copies of it. Uniform Polyiamond Stacks. Arrange copies of a polyiamond to form a shape with equal, contiguous rows of cells with even length. Containing Pairs of Hexiamonds. Find the smallest polyiamonds that can contain every pair of distinct hexiamonds. Polyiamond Irreptiling. Dissect a polyiamond into smaller copies of itself, not necessarily the same size. Scaled Polyiamond Tetrads. Arrange four copies of a polyiamond at varying scales so that each borders the others. Convexification Numbers for Polyiamonds. Pack copies of a polyiamond into some convex polyiamond, leaving as few cells vacant as possible. Tiling a Shape with Ternary Symmetry with the Heptiamonds and the Tetrahexes. Tile a shape with 3-fold symmetry with all 24 heptiamonds, then with all 7 tetrahexes. The Lobster and the Snake. Four puzzles about the Lobster and Snake hexiamonds. Tiling a Convex Shape with a Polyming. Arrange copies of a polyming to form a minimally convex shape.

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Col. George Sicherman [ HOME | MAIL ]