Catalogue of Blunt Polytans

A polytan or polyabolo is a figure made of equal isosceles right triangles joined along equal edges. A blunt polytan is one that has no 45° interior angles (sharp corners). Here I show all the blunt polytans with up to 9 cells.

Two-sided polytans may be rotated and reflected. One-sided polytans may be rotated but not reflected.

Enumeration

CellsTwo-SidedOne-Sided
100
211
300
422
522
656
7610
82338
94584
10138252
11347675
1210071954
1327515455
14799815829

The enumerations for arbitrary polyaboloes are in the On-Line Encyclopedia of Integer Sequences as A006074 (two-sided) and A151519 (one-sided).

The figures below show two-sided polytans.

Ditans

Tetratans

Pentatans

Hexatans

Heptatans

Octatans

Enneatans

Last revised 2017-11-25.


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Col. George Sicherman [ HOME | MAIL ]