A380940 -id:A380940 - cp's OEIS frontend

A380941 Decimal expansion of the middle vertex angle, in radians, in a disdyakis triacontahedron face.

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

Offset: 1

Paolo Xausa, Feb 08 2025

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

			1.016443446896330150160097551517069643637928892906...

Paolo Xausa, Table of n, a(n) for n = 1..10000
Wikipedia, Disdyakis triacontahedron.

Cf. A380940 (smallest face angle), A380942 (largest face angle).

Cf. A001622, A379388, A379708, A379709, A379710, A379711.

First[RealDigits[ArcCos[(17 - 4*GoldenRatio)/20], 10, 100]]

Equals arccos((17 - 4*A001622)/20).

Equals Pi - A380940 - A380942.

A380942 Decimal expansion of the largest vertex angle, in radians, in a disdyakis triacontahedron face.

Original entry on oeis.org

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

Offset: 1

Paolo Xausa, Feb 09 2025

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

			1.5531999505740762323183912046070949990519364517956...

Paolo Xausa, Table of n, a(n) for n = 1..10000
Wikipedia, Disdyakis triacontahedron.

Cf. A380940 (smallest face angle), A380941 (middle face angle).

Cf. A001622, A379388, A379708, A379709, A379710, A379711.

First[RealDigits[ArcCos[(7 - 4*GoldenRatio)/30], 10, 100]]

Equals arccos((7 - 4*A001622)/30).

Equals Pi - A380940 - A380941.

A380981 Decimal expansion of the medium/short edge length ratio of a disdyakis triacontahedron.

Original entry on oeis.org

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

Offset: 1

Paolo Xausa, Feb 10 2025

			1.57082039324993690892275210061938287063218550788...

Paolo Xausa, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Disdyakis Triacontahedron.
Wikipedia, Disdyakis triacontahedron.

Cf. A380982 (long/short edge length ratio).
Cf. A002163, A379388, A379708, A379709, A379710, A379711, A380940, A380941, A380942.
Apart from leading digits the same as A176015, A134976 and A010499.

First[RealDigits[3/10*(3 + Sqrt[5]), 10, 100]]

Equals (3/10)*(3 + sqrt(5)) = (3/10)*(3 + A002163).

Equals A176015 + 2/5.

A380982 Decimal expansion of the long/short edge length ratio of a disdyakis triacontahedron.

Original entry on oeis.org

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

Offset: 1

Paolo Xausa, Feb 10 2025

			1.8472135954999579392818347337462552470881236719223...

Paolo Xausa, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Disdyakis Triacontahedron.
Wikipedia, Disdyakis triacontahedron.

Cf. A380981 (medium/short edge length ratio).
Cf. A020762, A379388, A379708, A379709, A379710, A379711, A380940, A380941, A380942.
Apart from leading digits the same as A176453, A134974 and A010476.

First[RealDigits[7/5 + 1/Sqrt[5], 10, 100]] (* Paolo Xausa, Feb 10 2025 *)

Equals 1/sqrt(5) + 7/5 = A020762 + 7/5.

cp's OEIS Frontend

A380941 Decimal expansion of the middle vertex angle, in radians, in a disdyakis triacontahedron face.

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A380942 Decimal expansion of the largest vertex angle, in radians, in a disdyakis triacontahedron face.

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A380981 Decimal expansion of the medium/short edge length ratio of a disdyakis triacontahedron.

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Author

Keywords

Examples

Links

Crossrefs

Programs

Mathematica

Formula

A380982 Decimal expansion of the long/short edge length ratio of a disdyakis triacontahedron.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Mathematica

Formula