A242731 Number of faces of Johnson solids in the order given by Johnson.

5, 6, 8, 10, 12, 17, 7, 9, 11, 13, 16, 6, 10, 9, 12, 15, 16, 14, 18, 22, 27, 20, 26, 32, 37, 8, 14, 18, 18, 22, 22, 27, 27, 32, 20, 20, 26, 32, 32, 37, 37, 42, 42, 26, 34, 42, 47, 52, 8, 11, 14, 10, 13, 11, 14, 14, 17, 16, 20, 20, 24, 12, 8, 10, 14, 22, 30, 42

Offset

1,1

Comments

For the distinct terms sorted, see A296603. For the number of Johnson solids with n faces, see A296604. - Jonathan Sondow, Jan 29 2018

Links

Felix Fröhlich, Table of n, a(n) for n = 1..92

Norman W. Johnson, Convex Polyhedra with Regular Faces, Canadian Journal of Mathematics, 18 (1966), 169-200.

Wikipedia, List of Johnson solids

Victor A. Zalgaller, Convex Polyhedra with Regular Faces, Zap. Nauchn. Sem. LOMI, 1967, Volume 2. Pages 5-221 (Mi znsl1408).

Mathematica

Array[PolyhedronData["J"<>ToString[#], "FaceCount"] &, 92] (* Paolo Xausa, Apr 06 2026 *)

Prog

(Python)
import requests as r
JohnsonSolids = [data for code in r.get("https://github.com/levskaya/"
  "polyhedronisme/raw/master/johnson_solids.js").text.split("hedron()")[1:-1] if exec("if 1:#"+code.split("return")[0].replace("poly.", ''), {}, data:={})!=1]
A242731 = lambda n: len(JohnsonSolids[n-1]['faces']) # M. F. Hasler, Apr 10 2026

Crossrefs

Cf. A242732, A242733, A296602, A296603, A296604.

Sequence in context: A218866 A227760 A055592 * A151976 A331199 A074819

Adjacent sequences: A242728 A242729 A242730 * A242732 A242733 A242734

Keyword

nonn,fini,full

Author

Felix Fröhlich, May 21 2014

Status

approved