Simple Primitive Imperfect Isosceles Right Triangled Square

Title: _iz 14:9TG

Order: 14

Horizontal side: 9 Vertical side: 9

Elements: 1√2, 2, 2√2, 4, 3√2, 5, 7.

Code: 77 0 9 36 4 6 27 7 9 26 7 7 22 9 5 20 4 6 53 9 0 23 2 2 27 2 4 43 4 0 22 6 2 21 6 4 12 7 3 27 0 2

The properties below may precede order:side in a tiling's title:

A tiling is said to be crossed when there is a tile-corner traversed by two lines. There is no known crossed SPIIRTS of order < 15.

d = double-pentagon patterned. Every such tiling is a subdivision of an instance of the same deformable tiling by two 45-90-90-90-225 pentagons with a shared side, four triangles and two pseudotriangles. The number of pentagons which are degenerate, in the sense that one or more sides have shrunk to zero length, may be 0 (as in 13:15TA and 13:15TB), 1 (as in 11:9TC and 11:10TD) or 2 (as in 8:4TA).

e = elegant. No tile-corner is just a T-junction. Such tilings may be considered aesthetically pleasing.

i = isomers exist which are ineligible for this catalogue. They are not included in the isomer count which follows 'of' in the tiling id.

z = zigzag by shorter sides of two or more equal tiles, pairs of which form parallelograms.

Credit for Discovery

The catalogue was built by Geoffrey H. Morley but no SPIIRTS's are attributed to discoverers.