A380737 Decimal expansion of the medium vertex angle, in radians, in a disdyakis dodecahedron face.

9, 6, 0, 3, 6, 2, 1, 1, 7, 7, 0, 7, 7, 9, 5, 7, 3, 5, 7, 4, 0, 1, 3, 9, 1, 5, 2, 3, 1, 4, 5, 7, 6, 8, 5, 6, 4, 7, 7, 7, 7, 0, 8, 1, 7, 7, 0, 8, 1, 3, 1, 0, 9, 9, 4, 3, 2, 2, 1, 9, 9, 7, 5, 5, 3, 8, 7, 1, 0, 3, 7, 5, 8, 0, 9, 8, 6, 0, 8, 1, 7, 6, 0, 2, 2, 4, 2, 3, 7, 6

Offset

0,1

Comments

A disdyakis dodecahedron face is a scalene triangle with three acute angles.

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Wikipedia, Disdyakis dodecahedron.

Formula

Equals arccos(3/4 - sqrt(2)/8) = arccos(3/4 - A020789).

Equals Pi - A380736 - A380738.

Example

0.96036211770779573574013915231457685647777081770813...

Mathematica

First[RealDigits[ArcCos[3/4 - Sqrt[2]/8], 10, 100]]

Crossrefs

Cf. A380736 (face smallest angle), A380738 (face largest angle).

Cf. A020789, A378393, A378712, A378713, A378714, A378715, A380734, A380735.

Sequence in context: A388791 A388469 A388637 * A393636 A336001 A388807

Adjacent sequences: A380734 A380735 A380736 * A380738 A380739 A380740

Keyword

nonn,cons,easy

Author

Paolo Xausa, Feb 01 2025

Status

approved