Dissection of tridiminished icosahedron (J63) and Stewart toroid G3 to rhombic solids, and dissection of icosahedron and drilled G3 to rhombic solids


Izidor Hafner
Faculty of Electrical Engineering, University of Ljubljana
Trzaska 25, 1000 Ljubljana, Slovenia
e-mail: izidor.hafner@fe.uni-lj.si

Construction of rhombic aproximate of Stewart toroid G3, together with construction of rhombic aproximate of tridiminished icosahedron (rhombic triacontahedron), shows that combination of these solids is equdecomposable with cube.

The same is true for the icosahedron and drilled G3.

So, the same is true for 3 icosahedra and drilled dodecahedron.

References


[1] V.G. Boltjanskii, Tretja problema Hilberta, Nauka, Moskva 1977.
[2] I. Hafner, Live3D Animation to Solution of Conway-Radin-Sadun problem, Visual Mathematics Volume 9, No. 1, 2007
     http://symmetry-us.com/Journals/visual40A/Visual40A.html
[3] Martin Kraus' Live3D applet http://www.vis.uni-stuttgart.de/~kraus/index.html