Derivative UltraPerfect Isosceles Right Triangled Square

Title: pt 16:80JJ2of2 GHM

Order: 16

Horizontal side: 80 Vertical side: 80

Elements: 1, 1√2, 2, 3, 4, 3√2, 10, 10√2, 20, 20√2, 30, 25√2, 40, 30√2, 50, 40√2.

Code: 505 0 30 404 40 40 403 80 40 104 50 30 103 60 30 207 60 40 206 60 20 305 0 0 304 30 0 43 60 26 10 56 26 11 57 26 37 57 26 36 57 23 250 55 25 21 57 25

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

• c = crossed. There is a tile-corner traversed by two lines. 18:48JB2of5 is the only known crossed DUIRTS of order < 19.
• 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.
• e = elegant. No tile-corner is just a T-junction. Such tilings may be considered aesthetically pleasing. The only known elegant DUIRTS's of order < 19 are of order 18 and side 147.
• p/r/t = pseudotriangular/rectangular/triangular inclusion subdivided into at least 6/5/6 triangles respectively.

Credit for Discovery

Geoffrey H. Morley (GHM, England)

Jasper D. Skinner, II (JDS, United States)