Naomi, an artist, wants to put 12 monthly seasonal images on a regular Platonic solid. This makes her art free standing and overcomes the lack of wall space at galleries.  The regular polyhedron required to achieve this needs to be identified.  The size of each face also needs to be determined so that it will stand at a specified height.

The face size can either be determined relatively simply using linear algebra equations from a supplied ratio, or with significantly greater difficulty using multiple applications of right angle triangle trigonometry, or other algebra, equations and methods.

Other Naomi free downloadable worksheet questions address additional platonic solid shapes, and using algebra and geometry finding specific angles. Naomi is an example of the uses of geometry in everyday life.