Baiocchi Figures for Polyrhons

A polyrhon is a solid formed by joining rhombic dodecahedrons face to face.

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

The maximal symmetry for polyrhons is cubic, or achiral octahedral, symmetry.

Below are minimal known Baiocchi figures for polyrhons with 1 through 4 cells. The constructions are shown both as polyjubes, or edge-connected polycubes, and as polyrhons.

Not all these solutions are uniquely minimal. Polyrhons are not reflected in these constructions.

See also Baiocchi Figures for Polycubes.

Monorhon

Dirhon

Trirhons

Tetrarhons

Last revised 2024-07-02.


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Col. George Sicherman [ HOME | MAIL ]