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A006226 Number of abstract n-dimensional crystallographic point groups.
(Formerly M1916)
13
1, 2, 9, 18, 118, 239, 1594(list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

P. Engel, 'Geometric crystallography,' in P. M. Gruber and J. M. Wills, editors, Handbook of Convex Geometry. North-Holland, Amsterdam, Vol. B, pp. 989-1041.

T. Janssen, Crystallographic Groups. North-Holland, Amsterdam, 1973, p. 73.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

A. C. Hurley, Finite rotation groups and crystal classes in four dimensions, Proc. Cambridge Philos. Soc. 47, (1951). 650-661.

A. C. Hurley, Crystal Classes of Four-Dimensional Space R4, Acta Crystallog., 22 (1967), see especially p. 605.

W. Plesken and T. Schulz, Counting crystallographic groups in low dimensions, Experimental Mathematics, 9 (No. 3, 2000), 407-411.

W. Plesken and T. Schulz, CARAT Homepage

W. Plesken and T. Schulz, CARAT Homepage [Cached copy in pdf format (without subsidiary pages), with permission]

W. Plesken and T. Schulz, Introduction to CARAT [Cached copy in pdf format (without subsidiary pages), with permission]

E. S. Rosenthal & N. J. A. Sloane, Correspondence, 1975

CROSSREFS

Cf. A004027, A004028, A004029.

Sequence in context: A037421A083423A068978 * A109298A297470A075537

Adjacent sequences: A006223A006224A006225 * A006227A006228A006229

KEYWORD

hard,nonn,more,nice

AUTHOR
EXTENSIONS

Two more terms from W. Plesken and T. Schulz (tilman(AT)momo.math.rwth-aachen.de), Feb 27 2001

Offset corrected by Andrey Zabolotskiy, Jul 10 2017

STATUS

approved

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Last modified February 11 10:36 EST 2021. Contains 341017 sequences. (Running on oeis4.)