On Distance in Some Finite Planes and Graphs Arising from Those Planes

Table 1

Circles with centre C and radius r of the affine plane of order 3.

C	r = 1	r = 2
00	{01, 10, 11, 12}	{02, 20, 21, 22}
01	{10, 11, 12, 00, 02}	{22, 21, 20}
02	{01, 12, 11, 10}	{00, 22, 21, 20}
10	{00, 01, 02, 20, 21, 22, 11}	{12}
11	{02, 01, 00, 22, 21, 20, 12, 10}	{}
12	{02, 01, 00, 22, 21, 20, 11}	{10}
20	{10, 11, 12, 21}	{00, 01, 02, 22}
21	{12, 11, 10, 22, 20}	{02, 01, 00}
22	{12, 11, 10, 21}	{02, 01, 00, 20}