Prime Rectangles for Tetrakings

Introduction

A tetraking or tetraplet is a figure made of four squares joined along edges or diagonally at corners. There are 22 tetrakings, not distinguishing reflections and rotations.

A prime rectangle for a tetraking is a rectangle that the tetraking can tile, that cannot be tiled by smaller rectangles that the tetraking can tile. Here I show known prime rectangles for the tetrakings that are not also tetrominoes. For prime rectangles for tetrominoes and other polyominoes, see Michael Reid's Rectifiable Polyomino Page.

2×4 8×9 5×16 5×24
None.
2×4 8×9 5×16 7×24
2×4.
14×36 20×30 18×36 14×48
4×4 8×10 8×13 8×19 12×14 11×16 10×20 11×24
8×12 10×12 8×15 8×16 12×12 9×16 8×18 8×19 10×16 8×20 12×14 8×21 11×16
8×22 8×23 8×25 13×16 8×26 9×24 14×16 8×29 11×24
2×4 7×8
2×4.
4×4.
2×4.
None.
None.
None.
None.
None.
None.

Last revised 2017-04-22.


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Col. George Sicherman [ HOME | MAIL ]