A282598 - OEIS

A282598

Minimal number of cuts along the edges of n-th Platonic solid required to unfold the net of the solid into the plane, in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron.

%I #8 Feb 20 2017 02:43:49

%S 3,7,5,19,11

%N Minimal number of cuts along the edges of n-th Platonic solid required to unfold the net of the solid into the plane, in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron.

%C An obvious generalization not in the OEIS: Minimal number of cuts along the faces of the cells (i.e. along the 2-faces) of the six Platonic polytopes in four dimensions required to unfold the nets of the polytopes into 3-dimensional space.

%C Each cut is along an edge, so trivially a(n) <= A063722(n). - _Charles R Greathouse IV_, Feb 20 2017

%Y Cf. A201187, A063722.

%K nonn,fini,full

%O 1,1

%A _Felix Fröhlich_, Feb 19 2017