A179589 Decimal expansion of the circumradius of square cupola with edge length 1.

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

Offset

1,2

Comments

Square cupola: 12 vertices, 20 edges, and 10 faces.

Links

Table of n, a(n) for n=1..105.

Polytope Wiki, Square cupola.

Eric Weisstein's World of Mathematics, Square Cupola.

Wikipedia, Square cupola.

Wolfram Alpha, Johnson solid 4.

Index entries for algebraic numbers, degree 4.

Formula

Equals sqrt(5+2*sqrt(2))/2.

Minimal polynomial: 16*x^4 - 40*x^2 + 17. - Amiram Eldar, May 12 2026

Example

1.398966325965906702031540539431998764673522563866238879930...

Mathematica

RealDigits[N[Sqrt[5+2*Sqrt[2]]/2, 200]]

Crossrefs

Cf. A001622, A010527, A102208, A179290, A179292, A179294, A179449, A179450, A179451, A179452, A179552, A179553, A019881, A179587, A179588.

Sequence in context: A016677 A288095 A231863 * A368737 A302630 A128686

Adjacent sequences: A179586 A179587 A179588 * A179590 A179591 A179592

Keyword

nonn,cons,easy

Author

Vladimir Joseph Stephan Orlovsky, Jul 19 2010

Status

approved