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A006227 Number of n-dimensional space groups (including enantiomorphs).
(Formerly M2104)
+0
2
1, 2, 17, 230, 4895 (list; graph; listen)
OFFSET

0,2

REFERENCES

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

H. Brown, R. B\"{u}low, J. Neub\"{u}ser, H. Wondratschek and H. Zassenhaus, Crystallographic Groups of Four-Dimensional Space. Wiley, NY, 1978, p. 52.

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.

J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, CRC Press, 1997, p. 102.

T. Janssen, Crystallographic Groups. North-Holland, Amsterdam, 1973, p. 119.

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

LINKS

W. Plesken and T. Schulz, CARAT Homepage

Dror Bar-Natan, Illustrations of 2-dimensional symmetry groups

Experimental Mathematics, Home Page

CROSSREFS

Cf. A004029.

Sequence in context: A114268 A144208 A058239 this_sequence A036082 A099694 A099698

Adjacent sequences: A006224 A006225 A006226 this_sequence A006228 A006229 A006230

KEYWORD

nonn,hard,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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