Baiocchi Figures for Besźel Polycubes

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polycubes, that means cubic symmetry. Claudio Baiocchi proposed the idea in January 2008. Baiocchi figures first appeared in Erich Friedman's Math Magic for that month.

A Besźel Polycube is a polycube whose cells all have at least two even coordinates.

Below are minimal known Baiocchi figures for Besźel Polycubes of orders 1 through 5.

For unrestricted Baiocchi figures for polycubes, see Baiocchi Figures For Polycubes. For pentacube Baiocchi figures with an odd number of tiles, see Pentacube Oddities.

Monocube

Dicube

Unsolved

Tricubes

Tetracubes

Unsolved

Pentacubes

Unsolved

Hexacubes

Last revised 2017-09-12.


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Col. George Sicherman [ HOME | MAIL ]