A393964 Decimal expansion of the circumradius of an hexagonal antiprism with unit edges.

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

Offset

1,3

Links

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

David I. McCooey, Hexagonal Antiprism.

Polytope Wiki, Hexagonal antiprism.

Eric Weisstein's World of Mathematics, Antiprism.

Wikipedia, Hexagonal antiprism.

Formula

Equals sqrt(3 + sqrt(3))/2 = sqrt(A165663)/2.

Equals the largest root of 8*x^4 - 12*x^2 + 3.

Example

1.0876638735805374368837006824777434426015066360366...

Mathematica

First[RealDigits[Sqrt[3 + Sqrt[3]]/2, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["HexagonalAntiprism", "Circumradius"], 10, 100]]

Crossrefs

Cf. A385259 (surface area + 10), A393963 (volume), A019884 (midradius), A393965 (height).

Cf. A387296, A387297 (dihedral angles).

Cf. A165663.

Sequence in context: A328759 A383787 A132037 * A124597 A347903 A247095

Adjacent sequences: A393961 A393962 A393963 * A393965 A393966 A393967

Keyword

nonn,cons,easy

Author

Paolo Xausa, Mar 08 2026

Status

approved