Non Placet Net of a Dodecahedron

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It seems that (in 1537 in an unpublished paper) Maurolico was the first to give a chain of 12 regular pentagons that is not a net of a dodecahedron[1, pp. 70–71]. He denoted it "non placet". In principle, you can determine whether a chain is or is not a net by trying all possible foldings.

References

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

External Links

Chains of Regular Polygons and Polyhedra

Deforming Nets of Polyhedra

Permanent Citation

Izidor Hafner

"Non Placet Net of a Dodecahedron" from the Wolfram Demonstrations Project http://demonstrations.wolfram.com/NonPlacetNetOfADodecahedron/
Published: November 7, 2019