For quite some time now, I have been looking in books and online for a set of tables with formulae for conversion between various measures of the platonic solids (the regular polyhedra). None quite fitted my requirements, and so I created my own.

My requirements included:

- The formulae should all be of a similar form.
- Where there is a change of dimension, formulae should be given both in terms of the source and the target dimensons.
- No formula should have a surd (root) in the denominator.
- The terms in a surd should have reduced factors. (So, in particular, any integer under a square root should be square-free.)