Non-ultraperfect Perfect Isosceles Right Triangled Square

Title: _ 12:18PA1of2

Order: 12

Horizontal side: 18 Vertical side: 18

Elements: 1, 1√2, 2, 2√2, 4, 3√2, 5, 6, 5√2, 8, 10, 18.

Code: 187 0 18 103 18 8 26 6 6 55 8 3 54 13 3 83 18 0 63 6 0 25 6 4 45 6 0 14 7 3 13 8 3 34 10 0

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)