Catalog of Point Configurations

The following table shows the number of abstract order types. Data can be accessed by clicking on the corresponding number (if available):

  card = 2 card = 3 card = 4 card = 5 card = 6 card = 7 card = 8 card = 9 card = 10
rank = 2 1 1 1 1 1 1 1 1 1
rank = 3 (dim = 2) 1 3 11 93 2 121 122 508 15 296 266 unknown
rank = 4 (dim = 3) 1 5 55 5 083 10 775 236 unknown unknown
rank = 5 (dim = 4) 1 8 204 505 336 unknown unknown
rank = 6 (dim = 5) 1 11 705 unknown unknown
rank = 7 (dim = 6) 1 15 2 293 unknown
rank = 8 (dim = 7) 1 19 7 377
rank = 9 (dim = 8) 1 24
rank = 10 (dim = 9) 1

Cardinality = 5, rank = 3 (dimension = 2)

RevLex-Index from to        

Note: The representation of the abstract order type is not lexicographically maximal.


List of representatives of OT(5,3) stopping with c = 11: 1112112123 2233233444 3444555555 OT(5,3, 1) = +++-++-+-- OT(5,3, 2) = ++---++++- OT(5,3, 3) = ++++++++++ OT(5,3, 4) = 0++---+-++ OT(5,3, 5) = 0+++---+++ OT(5,3, 6) = 0+--+--++- OT(5,3, 7) = 0++++++--- OT(5,3, 8) = 0+---++0+- OT(5,3, 9) = 0+++---0++ OT(5,3,10) = 0++++++0-- OT(5,3,11) = 0000++++++



Maintained by Lukas Finschi (finschi [at] ifor.math.ethz.ch)