Derivative UltraPerfect Isosceles Right Triangled Square

Title: _p 16:56JB1of2 JDS

Order: 16

Horizontal side: 56 Vertical side: 56

Elements: 1, 5, 6, 7, 5√2, 7√2, 10, 14, 10√2, 15, 14√2, 21, 28, 21√2, 35, 28√2.

Code: 355 0 21 284 28 28 283 56 28 74 35 21 73 42 21 147 42 28 146 42 14 215 0 0 214 21 0 63 42 15 50 36 15 51 41 15 155 41 0 11 42 15 100 31 10 101 41 10

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)