Non-ultraperfect Perfect Isosceles Right Triangled Square

Title: _ 12:40PD29of32

Order: 12

Horizontal side: 40 Vertical side: 40

Elements: 1√2, 2, 2√2, 4, 3√2, 6, 7, 7√2, 13, 20, 20√2, 40.

Code: 407 0 40 206 20 20 203 20 0 135 20 7 77 20 7 70 27 7 34 30 4 10 33 7 20 32 6 21 34 6 65 34 0 41 34 4

The fact that every NPIRTS has a subdivided triangle is not recorded as a property. The properties below may precede order:side in a tiling's title:

• e = elegant. No tiling is just a T-junction. Such tilings may be considered aesthetically pleasing.
• p/r = pseudotriangular/rectangular inclusion subdivided into at least 6/5 triangles respectively.

Credit for Discovery

Jasper D. Skinner found many NPIRTS's before this catalogue was built by Geoffrey H. Morley. Only the two lowest order NPIRTS's are attributed to discoverers:

J. Douglas and E.P. Starke (D&S, United States) (7:10PA only)

Arthur H. Stone (AHS, United States, 1916-2000) (7:7PA only)