A377277 -id:A377277 - cp's OEIS frontend

A377275 Decimal expansion of the volume of a truncated tetrahedron with unit edge length.

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

Offset: 1

Paolo Xausa, Oct 23 2024

			2.7105759945484321768699033880685879839252044278...

Eric Weisstein's World of Mathematics, Truncated Tetrahedron.
Wikipedia, Truncated tetrahedron.

Cf. A377274 (surface area), A377276 (circumradius), A093577 (midradius), A377277 (Dehn invariant).
Cf. A020829 (analogous for a regular tetrahedron).
Cf. A002193.

First[RealDigits[23/12*Sqrt[2], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedTetrahedron", "Volume"], 10, 100]]

Equals (23/12)*sqrt(2) = (23/12)*A002193.

A377274 Decimal expansion of the surface area of a truncated tetrahedron with unit edge length.

Original entry on oeis.org

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

Offset: 2

Paolo Xausa, Oct 23 2024

			12.12435565298214105469212439054110656859963677667...

Eric Weisstein's World of Mathematics, Truncated Tetrahedron.
Wikipedia, Truncated tetrahedron.

Cf. A377275 (volume), A377276 (circumradius), A093577 (midradius), A377277 (Dehn invariant).

Cf. A002194 (analogous for a regular tetrahedron).

First[RealDigits[7*Sqrt[3], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedTetrahedron", "SurfaceArea"], 10, 100]]

Equals 7*sqrt(3) = 7*A002194.

A377296 Decimal expansion of 24*arctan(sqrt(2)).

Original entry on oeis.org

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

Offset: 2

Paolo Xausa, Oct 24 2024

Dehn invariant of a regular octahedron and (small) rhombicuboctahedron with unit edge and (negated) of a cuboctahedron and truncated cube with unit edge.

			22.9275988349882226759325704603781861018419526802...

Eric Weisstein's World of Mathematics, Dehn Invariant.
Eric Weisstein's World of Mathematics, Cuboctahedron.
Eric Weisstein's World of Mathematics, Regular Octahedron.
Eric Weisstein's World of Mathematics, Small Rhombicuboctahedron.
Eric Weisstein's World of Mathematics, Truncated Cube.
Index entries for transcendental numbers

Cf. A195696, A377277.

First[RealDigits[24*ArcTan[Sqrt[2]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["Octahedron", "DehnInvariant"], 10, 100]]

24*atan(sqrt(2)) \\ Charles R Greathouse IV, Nov 20 2024

Equals 24*A195696 = 2*A377277.

A377276 Decimal expansion of the circumradius of a truncated tetrahedron with unit edge length.

Original entry on oeis.org

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

Offset: 1

Paolo Xausa, Oct 23 2024

			1.17260393995585738864140752838611657014705708835...

Eric Weisstein's World of Mathematics, Truncated Tetrahedron.
Wikipedia, Truncated tetrahedron.

Cf. A377274 (surface area), A377275 (volume), A093577 (midradius), A377277 (Dehn invariant).
Cf. A187110 (analogous for a regular tetrahedron).
Cf. A010478.

First[RealDigits[Sqrt[22]/4, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedTetrahedron", "Circumradius"], 10, 100]]

Equals sqrt(22)/4 = A010478/4.

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A377275 Decimal expansion of the volume of a truncated tetrahedron with unit edge length.

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A377274 Decimal expansion of the surface area of a truncated tetrahedron with unit edge length.

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A377296 Decimal expansion of 24*arctan(sqrt(2)).

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A377276 Decimal expansion of the circumradius of a truncated tetrahedron with unit edge length.

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