Catalogue of Polyquoins
Introduction
Polyquoins are John Mason's polyforms
made by joining equal cubes at faces, rectangular
half faces, or square quarter faces.
They are a 3D counterpart of László Molnár's
polynars.
Enumeration
Two-sided polyquoins are identified with their mirror images.
One-sided polyquoins are distinguished from their mirror images.
| Cells
| Two-Sided
A392939
| One-Sided
A392940 |
|---|
| 1 | 1 | 1 |
| 2 | 3 | 3 |
| 3 | 35 | 54 |
| 4 | 1 098 | 2 030 |
| 5 | 49 023 | 96 853 |
| 6 | 2 518 518 | 5 023 549 |
The diagrams below show all two-sided polyquoins with 1, 2, or 3 cells.
Monoquoin
Diquoins
Triquoins
Last revised 2026-01-29.
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Col. George Sicherman
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