Spherical Platon's polyhedra

Everybody knows about five platonic solids: tetrahedron, octahedron, cube, icosahedron, dodecahedon. Much less known are relationships between them: how one may be inscibed into another. Table below shows platonic solids in a little bit unusual way - all vertices are projected on circumscribed sphere and are shown as a segments of toruses and faces are thown away. This is done to make visible both polyhedra in case if one is hidden inside of another.

First row and column show these five solids alone, the rest of the table shows combinations of every pair. Clicking on thumbnail will result in call of VRML browser with corresponding 3D model. Please mention, that it is possible to rotate separatelly with mouse each member of pair to see how different polyhedra interrelated.

If you don't have can not use VRML browser or it doesn't work with this models you can choose table with static versions of the same models.

© Copyright 1997 V.Bulatov. Commercial use of these materials is prohibited without prior written permission.

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e-mail: vladimir@bulatov.org