Serpentile descriptors are calculated from the adjacency index counts of the
three segments.
The adjacency index of a segment is the side distance between the segments,
i.e. a segment
connecting adjacent sides has an adjacency index of 1, a segment connecting
opposite sides has an
adjacency index of 3. The descriptor is formed by concatenating the
Adjacency Index Counts together.
Mathematically, the serpentile descriptor can be described:
where an is the count of segments with adjacency n.
Tile | Adjacency Index 3 Count |
Adjacency Index 2 Count |
Adjacency Index 1 Count |
Descriptor | Description |
003 |
0 | 0 | 3 | 003 | Triple Bend |
021 |
0 | 2 | 1 | 021 | Single Cross |
102 |
1 | 0 | 2 | 102 | Double Bend |
120 |
1 | 2 | 0 | 120 | Double Cross |
300 |
3 | 0 | 0 | 300 | Triple Cross |