cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A378354 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a (small) triakis octahedron.

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%I A378354 #7 Nov 28 2024 11:11:19
%S A378354 2,5,7,1,7,4,4,4,0,0,3,4,5,6,6,8,4,6,7,9,1,2,8,5,4,0,5,0,9,2,8,0,6,3,
%T A378354 7,9,3,5,5,1,1,5,6,9,4,1,1,1,3,8,5,9,7,4,5,3,2,5,4,4,5,4,2,6,8,0,3,6,
%U A378354 3,5,1,6,5,6,1,5,2,6,3,5,8,7,9,1,4,6,0,6,6,5
%N A378354 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a (small) triakis octahedron.
%C A378354 The (small) triakis octahedron is the dual polyhedron of the truncated cube.
%H A378354 Wikipedia, <a href="https://en.wikipedia.org/wiki/Triakis_octahedron">Triakis octahedron</a>.
%F A378354 Equals arccos(-(3 + 8*sqrt(2))/17) = arccos(-(3 + A377342)/17).
%e A378354 2.57174440034566846791285405092806379355115694111...
%t A378354 First[RealDigits[ArcCos[-(3 + 8*Sqrt[2])/17], 10, 100]] (* or *)
%t A378354 First[RealDigits[First[PolyhedronData["TriakisOctahedron", "DihedralAngles"]], 10, 100]]
%Y A378354 Cf. A378351 (surface area), A378352 (volume), A378353 (inradius), A201488 (midradius).
%Y A378354 Cf. A019669 and A195698 (dihedral angles of a truncated cube).
%Y A378354 Cf. A377342.
%K A378354 nonn,cons,easy
%O A378354 1,1
%A A378354 _Paolo Xausa_, Nov 24 2024