Euclidean Patterns in Non-Euclidean Tilings |
Empty fields match all - if you search with no input, you will get all networks.
Different fields match together with AND.
Multiple targets in a single field typically match together with AND, except for mutually exclusive classes (eg. multiple spacegroups). Chiral and Long Vectors are boolean Y or N (or Blank for ANY).
Coordination sequences are given by a string of numbers one line per
sequence - match as little or as much as you want...eg;
Coordination Sequences:
3 5 8
4 8 13
A standard match, for instance;
Vertex Degree: 3 4
Will get all vertex degrees containing both 3 and 4 so {3,4,5} would be a match.
To get all tilings with only a particular vertex degree and no other, use the ONLY keyword eg.
3 4 ONLY
will match tilings with degrees {3,4} or {4,3} or {3,3,4} but never {3,4,5}}
Vertex Degree: 4,5
will match on any Vertex Degrees containing this ordered substring. To match an exact signature, use brackets, eg:
Vertex Degree: {4,5}
This is an ordered search, so it won't match on {5,4}
Vertex searching admits the Negation operator '^'. To exclude a particular vertex from a match, eg,
Vertex Degrees: 4 8 ^3
will find all matching vertex sizes with 4 and 8 but not 3. This also applies to substring searching, eg.
Vertex Degrees: ^{4,5} will match everything but {4,5}