A380736 Decimal expansion of the smallest vertex angle, in radians, in a disdyakis dodecahedron face.

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

Offset: 0

Author

Paolo Xausa, Feb 01 2025

Keywords

• nonn
• cons
• easy

Comments

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

Examples

			0.6592691539262158395617269590815416456187802510390...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• Wikipedia, Disdyakis dodecahedron.

Crossrefs

Cf. A380737 (face medium angle), A380738 (face largest angle).

Cf. A010503, A378393, A378712, A378713, A378714, A378715, A380734, A380735.

Programs

Mathematica

First[RealDigits[ArcCos[1/12 + Sqrt[2]/2], 10, 100]]

Formula

Equals arccos(1/12 + sqrt(2)/2) = arccos(1/12 + A010503).

Equals Pi - A380737 - A380738.