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 = 6, rank = 4 (dimension = 3)

RevLex-Index from to        

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


List of representatives of OT(6,4) stopping with c = 55: 111121112112123 222332233233444 334443444555555 455556666666666 OT(6,4, 1) = ++++----+--+-++ OT(6,4, 2) = ++--+-++-++--++ OT(6,4, 3) = ++-+++-++-++--+ OT(6,4, 4) = +--------++++++ OT(6,4, 5) = 0+-++-+--+--++- OT(6,4, 6) = 0+----++++++--- OT(6,4, 7) = 0+++----+--+-++ OT(6,4, 8) = 0++-+++-++-+-+- OT(6,4, 9) = 0+---+------+++ OT(6,4,10) = 0+--+-++-++--++ OT(6,4,11) = 0++++---------- OT(6,4,12) = 0++----+++----+ OT(6,4,13) = 0++++----++++++ OT(6,4,14) = 0+--++--+--++-- OT(6,4,15) = 0++--++---++++- OT(6,4,16) = 0++++++++------ OT(6,4,17) = 0+++----+0----- OT(6,4,18) = 0+-++-+--0+--+- OT(6,4,19) = 0++----++0+-+-+ OT(6,4,20) = 0++-+++-+0++++- OT(6,4,21) = 0+-++-+--0--++- OT(6,4,22) = 0+----+++0--+++ OT(6,4,23) = 0+++-+++-0+-+-- OT(6,4,24) = 0+--+-++-0+--++ OT(6,4,25) = 0+---+---0--+++ OT(6,4,26) = 0++++----0+++++ OT(6,4,27) = 0++-+--+-0+-+-+ OT(6,4,28) = 0++--++--0----+ OT(6,4,29) = 0+--+-++-0+--+0 OT(6,4,30) = 0++++----0----0 OT(6,4,31) = 0+-++-+--0--++0 OT(6,4,32) = 0++++++++0----0 OT(6,4,33) = 00+--0-+++----+ OT(6,4,34) = 00+++0---++++++ OT(6,4,35) = 00++-0++-++--++ OT(6,4,36) = 00+--0-++-++--+ OT(6,4,37) = 00+++0------+++ OT(6,4,38) = 00+--0-+++--0-+ OT(6,4,39) = 00++-0--+++-0-- OT(6,4,40) = 00+--0+--+--0+- OT(6,4,41) = 00+--0+--+--0-+ OT(6,4,42) = 00+++0+++---0++ OT(6,4,43) = 00++-0++-++-0++ OT(6,4,44) = 00+++0++++++000 OT(6,4,45) = 00000+++-++-+-- OT(6,4,46) = 00000++---++++- OT(6,4,47) = 00000++++++++++ OT(6,4,48) = 000000++---+-++ OT(6,4,49) = 000000+++---+++ OT(6,4,50) = 000000+--+--++- OT(6,4,51) = 000000++++++--- OT(6,4,52) = 000000+---++0+- OT(6,4,53) = 000000+++---0++ OT(6,4,54) = 000000++++++0++ OT(6,4,55) = 000000000++++++



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