[nnlfctcm] (2,3) leaper

zebra or (3,2) leaper is a fairy chess piece that jumps from (0,0) to (3,2) (and 7 other squares by symmetry).

below are the minimum number of moves it takes for a zebra at the square labeled 0 to reach various nearby squares.  it takes 5 moves to make one orthogonal step (wazir move), and 6 moves to reach (2,2) (alfil).

we only give 1/8 of the plane; extend to the rest by symmetry.  we investigated distances only up to 15 (using a-f for 10-15 as in hexadecimal).  farther out, we stop lines at the first square exceeding 15.  things get less interesting farther out with broad regions requiring the same number of moves plus or minus 1 depending on parity.

previously, similar table for the knight.

0
52
434
5416
23434
525452
2543254
54343456
436365436
5436543456
45454545654
745454765456
4565456545676
56565656567656
656565656765678
7656765676567876
67676767676787678
767676767678767898
6787678767876789878
7878787878787898789a
878787878787898789a98
98789878987898789a989a
8989898989898989a989aba
989898989898989a989aba9a
89a989a989a989a989aba9abc
9a9a9a9a9a9a9a9a9aba9abcba
a9a9a9a9a9a9a9a9aba9abcbabc
ba9aba9aba9aba9aba9abcbabcdc
ababababababababababcbabcdcbc
babababababababababcbabcdcbcde
abcbabcbabcbabcbabcbabcdcbcdedc
bcbcbcbcbcbcbcbcbcbcbcdcbcdedcde
cbcbcbcbcbcbcbcbcbcbcdcbcdedcdefe
dcbcdcbcdcbcdcbcdcbcdcbcdedcdefede
cdcdcdcdcdcdcdcdcdcdcdcdedcdefedef
dcdcdcdcdcdcdcdcdcdcdcdedcdefedef
cdedcdedcdedcdedcdedcdedcdefedef
dededededededededededededefedef
ededededededededededededefedef
fedefedefedefedefedefedefedef
efefefefefefefefefefefefefef
fefefefefefefefefefefefefef
ef
f

future work: color.