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  | 
    
