Truncation (geometry) - Truncation in Regular Polyhedra and Tilings

Truncation in Regular Polyhedra and Tilings

When the term applies to truncating platonic solids or regular tilings, usually "uniform truncation" is implied, which means to truncate until the original faces become regular polygons with double the sides.


This sequence shows an example of the truncation of a cube, using four steps of a continuous truncating process between a full cube and a rectified cube. The final polyhedron is a cuboctahedron.


The middle image is the uniform truncated cube. It is represented by an extended Schläfli symbol t0,1{p,q,...}.

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