Catalogue of Besźel Polycubes

Introduction

A polycube is a solid made of equal cubes joined face to face. A Besźel Polycube is a polycube, each of whose cells has at least two even coordinates. An Ul Qoma Polycube is a polycube, each of whose cells has at least two odd coordinates.

Two-sided polycubes are identified with their mirror images. One-sided polycubes are distinguished from their mirror images.

Enumeration

Cells Two-Sided
A292157
One-Sided
A292065
111
211
322
444
51112
62327
780106
8230339
98371336
1029355029

The diagrams below show two-sided Besźel Polycubes.

Monocube

Dicube

Tricubes

Tetracubes

Pentacubes

Hexacubes

Heptacubes

Last revised 2017-09-10.


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Col. George Sicherman [ HOME | MAIL ]