Catalogue of Polynars

A polynar is a figure made of equal squares joined at edges or half edges. Here I show all the polynars of orders 1 through 4.

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

Polynars were first studied by László Molnár. Previously, around 2004, Saturo Natsuki (夏木智) invented some puzzles using pieces made with three cubes—three-dimensional trinars.

Enumeration

The shaded figures were found by Pontus von Brömssen.

Order Two-Sided
A390620 One-Sided
A390621

1 1 1

2 2 3

3 9 13

4 60 112

5 467 896

6 4 226 8 381

7 39 972 79 614

8 390 903 781 140

9 3 886 181 7 769 317

10 39 154 600 78 302 759

11 398 364 048 796 698 959

Order	Two-Sided A390620	One-Sided A390621
1	1	1
2	2	3
3	9	13
4	60	112
5	467	896
6	4 226	8 381
7	39 972	79 614
8	390 903	781 140
9	3 886 181	7 769 317
10	39 154 600	78 302 759
11	398 364 048	796 698 959

The figures below show two-sided polynars.

Mononar

Dinars

Trinars

Tetranars

Last revised 2026-01-27.

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Col. George Sicherman [ HOME | MAIL ]