Animated Proof of Conway-Radin-Sadun Problem
In  J. H. Conway, C. Radin and L. Sadun applied their theory of geodetic angles to the non-snub
Archimedean polyhedra proving that some combinations of Platonic and Archimedean solids
can be decomposed to a cube. In particular it was proved that it was possible to dissect
the icosahedron, dodecahedron, and icosidodecahedron into finitely many pieces that can be
reassembled to form a large cube. The problem is, how to perform such dissection.
Observe that there is an algorithm to dissect any number of prisms to a single cube [1, pg. 126].
Animations use Martin Kraus' Live3D applet .
Faculty of Electrical Engineering, University of Ljubljana
Trzaska 25, 1000 Ljubljana, Slovenia
 V.G. Boltjanskii, Tretja problema Hilberta, Nauka, Moskva 1977.
 J. H. Conway, C. Radin, and L. Sadun, On angles whose squared trigonometric functions are rational,
Discrete & Computational Geometry, 22 (1999), pages 321-332.
 Martin Kraus' Live3D applet http://www.vis.uni-stuttgart.de/~kraus/index.html