OFFSET
2,1
COMMENTS
Dehn invariant of a regular octahedron and (small) rhombicuboctahedron with unit edge and (negated) of a cuboctahedron and truncated cube with unit edge.
LINKS
Eric Weisstein's World of Mathematics, Dehn Invariant.
Eric Weisstein's World of Mathematics, Cuboctahedron.
Eric Weisstein's World of Mathematics, Regular Octahedron.
Eric Weisstein's World of Mathematics, Small Rhombicuboctahedron.
Eric Weisstein's World of Mathematics, Truncated Cube.
EXAMPLE
22.9275988349882226759325704603781861018419526802...
MATHEMATICA
First[RealDigits[24*ArcTan[Sqrt[2]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["Octahedron", "DehnInvariant"], 10, 100]]
PROG
(PARI) 24*atan(sqrt(2)) \\ Charles R Greathouse IV, Nov 20 2024
CROSSREFS
KEYWORD
AUTHOR
Paolo Xausa, Oct 24 2024
STATUS
approved