Constructing a Wooden Bilinski Dodecahedron

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This Demonstration shows a four-step transformation of a skew prism into a Bilinski dodecahedron.

Contributed by: Izidor Hafner (February 2019)
Open content licensed under CC BY-NC-SA


Details

This transformation was used by Donald Bell to make a wooden model of a Bilinski dodecahedron (private communication). A different method was used by Franc Savnik, who glued 12 wooden rhombic plates together [4].

References

[1] I. Hafner and T. Zitko. "A Dissection of Two Rhombic Dodecahedra of the Second Kind to a Cube." (Feb 21, 2019) www.mi.sanu.ac.rs/vismath/hafner6/visual15/Visual15.html.

[2] I. Hafner and T. Zitko. "A Dissection of Quarter of Rhombic Dodecahedron of the Second Kind to a Cube." (Feb 21, 2019) www.mi.sanu.ac.rs/vismath/hafner6/visual16/Visual16.html.

[3] I. Hafner and T. Zitko. "A Dissection of Rhombic Triacontahedron." (Feb 18, 2019) www.mi.sanu.ac.rs/vismath/hafner6/visual22/Visual22.html.

[4] F. Savnik. "Arts and Crafts Products." (Feb 21, 2019) www.iq-darila.com/skulpture_stran_3.html.


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