# Nets for Cowley's Dodecarhombus and Related Solids

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This Demonstration shows that Cowley's net can be folded into eight nonconvex solids with nonplanar faces.

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Contributed by: Izidor Hafner (August 2018)

Open content licensed under CC BY-NC-SA

## Details

There is an extensive discussion of Cowley's dodecarhombus net in [5, pp. 76–80]. The net in [1, p. 3] of a rhombic dodecahedron of the second kind (Bilinski's dodecahedron) was made by Hafner and was part of an internet discussion mentioned in [3, p. 22], where it supported Hafner's claim that Cowley's net was not a net of a rhombic dodecahedron of the second kind.

References

[1] "Rombski poliedri." (Dec 17, 2018) www.logika.si/revija/Stare-revije/revija15-5.pdf.

[2] J. L. Cowley, *Geometry Made Easy: A New and Methodical Explanation of the Elemnets *[sic]* of Geometry*, London: Mechell, 1752.

[3] B. Grünbaum. "The Bilinski Dodecahedron, and Assorted Parallelohedra, Zonohedra, Monohedra, Isozonohedra and Otherhedra." (Dec 17, 2018) digital.lib.washington.edu/researchworks/bitstream/handle/1773/15593/Bilinski_dodecahedron.pdf.

[4] P. R. Cromwell, *Polyhedra*, New York: Cambridge University Press, 1997.

[5] M. Friedman, *A History of Folding in Mathematics: Mathematizing the Margins*, New York, NY: Springer Berlin Heidelberg, 2018.

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