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.

A378394 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a deltoidal icositetrahedron.

This page as a plain text file.
%I A378394 #10 Feb 11 2025 09:58:56
%S A378394 2,4,1,0,6,1,3,1,4,1,6,5,3,4,0,7,6,0,6,1,5,3,6,6,5,7,8,5,4,6,5,9,4,9,
%T A378394 1,8,5,9,8,0,3,6,2,9,0,6,0,8,9,5,9,1,9,8,3,5,2,1,7,8,6,7,1,8,7,8,5,0,
%U A378394 3,5,1,5,8,3,3,7,2,6,7,4,1,9,4,7,8,5,0,5,5,6
%N A378394 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a deltoidal icositetrahedron.
%C A378394 The deltoidal icositetrahedron is the dual polyhedron of the (small) rhombicuboctahedron.
%H A378394 Paolo Xausa, <a href="/A378394/b378394.txt">Table of n, a(n) for n = 1..10000</a>
%H A378394 Wikipedia, <a href="https://en.wikipedia.org/wiki/Deltoidal_icositetrahedron">Deltoidal icositetrahedron</a>.
%H A378394 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A378394 Equals arcsec(4*sqrt(2) - 7) = arcsec(A010487 - 7).
%F A378394 Equals arccos(-(4*sqrt(2) + 7)/17) = arccos(-(A010487 + 7)/17).
%e A378394 2.410613141653407606153665785465949185980362906...
%t A378394 First[RealDigits[ArcSec[Sqrt[32] - 7], 10, 100]] (* or *)
%t A378394 First[RealDigits[First[PolyhedronData["DeltoidalIcositetrahedron", "DihedralAngles"]], 10, 100]]
%o A378394 (PARI) acos(-(4*sqrt(2) + 7)/17) \\ _Charles R Greathouse IV_, Feb 11 2025
%Y A378394 Cf. A378390 (surface area), A378391 (volume), A378392 (inradius), A378393 (midradius).
%Y A378394 Cf. A177870 and A195702 (dihedral angles of a (small) rhombicuboctahedron).
%K A378394 nonn,cons,easy
%O A378394 1,1
%A A378394 _Paolo Xausa_, Nov 30 2024