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A379388
Decimal expansion of the midradius of a deltoidal hexecontahedron with unit shorter edge length.
17
2, 7, 0, 3, 4, 4, 4, 1, 8, 5, 3, 7, 4, 8, 6, 3, 3, 0, 2, 6, 6, 5, 9, 6, 2, 8, 8, 4, 6, 7, 5, 3, 2, 9, 5, 5, 3, 0, 3, 6, 4, 0, 1, 9, 3, 3, 7, 4, 7, 4, 9, 1, 7, 2, 0, 7, 7, 6, 0, 8, 3, 2, 0, 9, 5, 1, 6, 8, 3, 8, 6, 0, 1, 6, 6, 4, 5, 7, 3, 1, 8, 4, 6, 1, 9, 3, 6, 9, 3, 6
OFFSET
1,1
COMMENTS
The deltoidal hexecontahedron is the dual polyhedron of the (small) rhombicosidodecahedron.
FORMULA
Equals 5/4 + 13/(4*sqrt(5)) = 5/4 + 13/A010532.
EXAMPLE
2.70344418537486330266596288467532955303640193...
MATHEMATICA
First[RealDigits[5/4 + 13/Sqrt[80], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DeltoidalHexecontahedron", "Midradius"], 10, 100]]
PROG
(PARI) 5/4 + 13/(4*sqrt(5)) \\ Charles R Greathouse IV, Feb 05 2025
CROSSREFS
Cf. A379385 (surface area), A379386 (volume), A379387 (inradius), A379389 (dihedral angle).
Cf. A377795 (midradius of a (small) rhombicosidodecahedron with unit edge length).
Cf. A010532.
Sequence in context: A245975 A188737 A200680 * A260129 A350763 A341318
KEYWORD
nonn,cons,easy
AUTHOR
Paolo Xausa, Dec 23 2024
STATUS
approved