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| Home | Catalog of Oriented Matroids | Catalog of Point Configurations | Catalog of Hyperplane Arrangements | Glossary |
The following table shows the number of abstract dissection 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 | 8 | 46 | 790 | 37 829 | 4 134 939 | unknown | |
| rank = 4 (dim = 3) | 1 | 5 | 27 | 1 063 | 1 434 219 | unknown | unknown | ||
| rank = 5 (dim = 4) | 1 | 7 | 71 | 44 956 | unknown | unknown | |||
| rank = 6 (dim = 5) | 1 | 9 | 156 | unknown | unknown | ||||
| rank = 7 (dim = 6) | 1 | 11 | 325 | unknown | |||||
| rank = 8 (dim = 7) | 1 | 13 | 646 | ||||||
| rank = 9 (dim = 8) | 1 | 15 | |||||||
| rank = 10 (dim = 9) | 1 | ||||||||
List of the 46 representatives of DT(6,3), ordered by the RevLex-Index.
The numbers above the signs indicate the elements of the corresponding basis.
11121121231121231234
22332334442334445555
34445555556666666666
DT(6,3, 1) = +++++++++++++-++--++
DT(6,3, 2) = ++++++++++++++++--++
DT(6,3, 3) = ++++++++++++++++++--
DT(6,3, 4) = ++++++++++++++++-+++
DT(6,3, 5) = +++++++++++++++++++-
DT(6,3, 6) = ++++++++++++++++++++
DT(6,3, 7) = 0++++++++++++++-+---
DT(6,3, 8) = +++++++++++0+-++--++
DT(6,3, 9) = 0++++++++++++++-++--
DT(6,3,10) = 0++++++++++++++++---
DT(6,3,11) = 0+++++++++++++++++--
DT(6,3,12) = ++++++++++0++++++++-
DT(6,3,13) = +++++++++++0-------+
DT(6,3,14) = +++++++++++0+-++-+++
DT(6,3,15) = 0+++++++++++++++---+
DT(6,3,16) = 0+++++++++++++++++++
DT(6,3,17) = ++++++++++0+-+--+---
DT(6,3,18) = ++++++++++0+++++++++
DT(6,3,19) = 0+++++++++++++++---0
DT(6,3,20) = 0++++++++++++++++++0
DT(6,3,21) = 0++++++0+++++++++---
DT(6,3,22) = 0++++++++++++0++-+++
DT(6,3,23) = 0+++++++++++++0-----
DT(6,3,24) = ++++++++++0+++++++0-
DT(6,3,25) = 0++++++0++++++++++--
DT(6,3,26) = 0++++++++++++0++--++
DT(6,3,27) = 0+++++++++++++0-+---
DT(6,3,28) = +++++++++++0+-0+--++
DT(6,3,29) = 0++++++0+++++++++++-
DT(6,3,30) = 0++++++++++++0------
DT(6,3,31) = 0++++++++++++0++---+
DT(6,3,32) = ++++++++++0++++0++--
DT(6,3,33) = 0++++++0+++++++0++--
DT(6,3,34) = 0++++++++++++0++-0++
DT(6,3,35) = 0++++++0+++++++0+0--
DT(6,3,36) = 0++++++0++++++0-+---
DT(6,3,37) = 0++++++++++++0++--0+
DT(6,3,38) = 0000++++++++++++++++
DT(6,3,39) = 0+++++++++000++-++--
DT(6,3,40) = 0+++++++++000+++++++
DT(6,3,41) = 0000++++++++++++0+++
DT(6,3,42) = 0++++++0++000++-++--
DT(6,3,43) = 0++++++0++000++++++-
DT(6,3,44) = 0+++++++++000++++++0
DT(6,3,45) = 0000000000++++++++++
DT(6,3,46) = 0000++++++000000++++
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