Exact Johnson Solids

This collection contains vertex, facet, and incidence data for each of the 92 Johnson solids.  A Johnson solid is a 3-dimensional convex polytope, where each facet is a regular polygon.  The latter definition generalizes the Platonic and the Archimedean solids.  Here we consider proper Johnson solids only, i.e., we ignore the Platonic and Archimedean solids.

The data can be loaded with the julia package OSCAR, but can also be read elsewhere due to its FAIR file format. The coefficients are described either as rational numbers or as elements of an embedded number field to enable efficient algebraically exact computations. Additionally, the dataset offers approximations of the values as floating point numbers. A sample script for accessing the data from outside of OSCAR is included. Further information can be taken from the README file.