polycube: A C++ creator of free connected polycubes in STL and X3D

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Authors: Richard J. Mathar
Cited by: 0

Abstract

polycube is a C++ program that generates STL and X3D representations of the 1, 1, 2, 7, 23,... free connected polycubes each containing 1, 2, 3, 4,... cubes, the 3-dimensional analog of the polyominoes. For chiral polycubes optionally two mirror pairs of each polycube are generated.

Fields of Study & Subjects

Computer Graphics and Visualization Techniques Advanced Combinatorial Mathematics Digital Image Processing Techniques

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
15 January 2026