Derivative UltraPerfect Isosceles Right Triangled Square

Title: _p 16:55JA GHM

Order: 16

Horizontal side: 55 Vertical side: 55

Elements: 3, 5, 5√2, 9, 10, 12, 9√2, 10√2, 15, 12√2, 20, 21, 15√2, 25, 25√2, 40.

Code: 407 0 55 100 40 55 101 50 55 52 55 50 51 55 55 256 30 25 213 30 24 207 30 45 255 30 0 90 9 24 91 18 24 127 18 24 126 18 12 157 0 15 150 15 15 31 18 15

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)