Regular maps in the orientable surface of genus 1

Name	Schläfli	V / F / E	mV, mF	notes	C&D no.	images
{4,4}(1,0)	{4,4}2	1 / 1 / 2	4,4		R1.s1-0	1
{6,3}(1,1)	{6,3}2	2 / 1 / 3	3,6		R1.t1-1′	4
{3,6}(1,1)	{3,6}2	1 / 2 / 3	6,3		R1.t1-1	2
{4,4}(1,1)	{4,4}2	2 / 2 / 4	4,4		R1.s1-1	4
{4,4}(2,0)	{4,4}4	4 / 4 / 8	2,2		R1.s2-0	5
{6,3}(0,2)	{6,3}6	6 / 3 / 9	1,3		R1.t0-2′	1
{3,6}(0,2)	{3,6}6	3 / 6 / 9	3,1		R1.t0-2	2
{4,4}(2,1)	{4,4}10	5 / 5 / 10	1,1		C1.s2-1	1
{6,3}(2,2)	{6,3}4	8 / 4 / 12	1,2		R1.t2-2′	1
{3,6}(2,2)	{3,6}4	4 / 8 / 12	2,1		R1.t2-2	1
{4,4}(2,2)	{4,4}4	8 / 8 / 16	1,1		R1.s2-2	1
{4,4}(3,0)	{4,4}6	9 / 9 / 18	1,1		R1.s3-0	1
{4,4}(3,1)	{4,4}10	10 / 10 / 20	1,1		C1.s3-1	1
{6,3}(1,3)	{6,3}14	14 / 7 / 21	1,1		C1.t1-3′	1
{3,6}(1,3)	{3,6}14	7 / 14 / 21	1,1		C1.t1-3	1
{4,4}(3,2)	{4,4}26	13 / 13 / 26	1,1		C1.s3-2	1
{6,3}(3,3)	{6,3}6	18 / 9 / 27	1,1		R1.t3-3′	1
{3,6}(3,3)	{3,6}6	9 / 18 / 27	1,1		R1.t3-3	1
{4,4}(4,0)	{4,4}8	16 / 16 / 32	1,1		R1.s4-0	1
{4,4}(4,1)	{4,4}34	17 / 17 / 34	1,1		C1.s4-1	1
{6,3}(0,4)	{6,3}12	24 / 12 / 36	1,1		R1.t0-4′	1
{4,4}(3,3)	{4,4}6	18 / 18 / 36	1,1		R1.s3-3	1
{3,6}(0,4)	{3,6}12	12 / 24 / 36	1,1		R1.t0-4	1
{6,3}(2,4)	{6,3}26	26 / 13 / 39	1,1		C1.t2-4′	1
{3,6}(2,4)	{3,6}26	13 / 26 / 39	1,1		C1.t2-4	1
{4,4}(4,2)	{4,4}20	20 / 20 / 40	1,1		C1.s4-2	1
{6,3}(4,4)	{6,3}8	32 / 16 / 48	1,1		R1.t4-4′	1
{3,6}(4,4)	{3,6}8	16 / 32 / 48	1,1		R1.t4-4	1
{4,4}(5,0)	{4,4}10	25 / 25 / 50	1,1		R1.s5-0	1
{4,4}(4,3)	{4,4}50	25 / 25 / 50	1,1		C1.s4-3	1
{4,4}(5,1)	{4,4}26	26 / 26 / 52	1,1		C1.s5-1	1
{6,3}(1,5)	{6,3}38	38 / 19 / 57	1,1		C1.t1-5′	1
{3,6}(1,5)	{3,6}38	19 / 38 / 57	1,1		C1.t1-5	1
{4,4}(5,2)	{4,4}58	29 / 29 / 58	1,1		C1.s5-2	1
{6,3}(3,5)	{6,3}42	42 / 21 / 63	1,1		C1.t3-5′	1
{3,6}(3,5)	{3,6}42	21 / 42 / 63	1,1		C1.t3-5	1
{4,4}(4,4)	{4,4}8	32 / 32 / 64	1,1		R1.s4-4	1
{4,4}(5,3)	{4,4}34	34 / 34 / 68	1,1		C1.s5-3	1
{4,4}(6,0)	{4,4}12	36 / 36 / 72	1,1		R1.s6-0	1
{4,4}(6,1)	{4,4}74	37 / 37 / 74	1,1		C1.s6-1	1
{6,3}(5,5)	{6,3}10	50 / 25 / 75	1,1		R1.t5-5′	1
{3,6}(5,5)	{3,6}10	25 / 50 / 75	1,1		R1.t5-5	1
{4,4}(6,2)	{4,4}20	40 / 40 / 80	1,1		C1.s6-2	1
{6,3}(0,6)	{6,3}18	54 / 27 / 81	1,1		R1.t0-6′	1
{3,6}(0,6)	{3,6}18	27 / 54 / 81	1,1		R1.t0-6	1
{4,4}(5,4)	{4,4}41	41 / 41 / 82	1,1		C1.s5-4	1
{6,3}(2,6)	{6,3}28	56 / 28 / 84	1,1		C1.t2-6′	1
{3,6}(2,6)	{3,6}28	28 / 56 / 84	1,1		C1.t2-6	1
{4,4}(6,3)	{4,4}30	45 / 45 / 90	1,1		C1.s6-3	1
{6,3}(4,6)	{6,3}62	62 / 31 / 93	1,1		C1.t4-6′	1
{3,6}(4,6)	{3,6}62	31 / 62 / 93	1,1		C1.t4-6	1
{4,4}(7,0)	{4,4}14	49 / 49 / 98	1,1		R1.s7-0	1
{4,4}(5,5)	{4,4}10	50 / 50 / 100	1,1		R1.s5-5	1
{4,4}(7,1)	{4,4}50	50 / 50 / 100	1,1		C1.s7-1	1
{6,3}(6,6)	{6,3}12	72 / 36 / 108	1,1		R1.t6-6′	1
{3,6}(6,6)	{3,6}12	36 / 72 / 108	1,1		R1.t6-6	1
{6,3}(1,7)	{6,3}74	74 / 37 / 111	1,1		C1.t1-7′	1
{3,6}(1,7)	{3,6}74	37 / 74 / 111	1,1		C1.t1-7	1
{6,3}(3,7)	{6,3}78	78 / 39 / 117	1,1		C1.t3-7′	1
{3,6}(3,7)	{3,6}78	39 / 78 / 117	1,1		C1.t3-7	1
{6,3}(5,7)	{6,3}86	86 / 43 / 129	1,1		C1.t5-7′	1
{3,6}(5,7)	{3,6}86	43 / 86 / 129	1,1		C1.t5-7	1
{6,3}(0,8)	{6,3}24	96 / 48 / 144	1,1		R1.t0-8′	1
{3,6}(0,8)	{3,6}24	48 / 96 / 144	1,1		R1.t0-8	1
{6,3}(7,7)	{6,3}14	98 / 49 / 147	1,1		R1.t7-7′	1
{3,6}(7,7)	{3,6}14	49 / 98 / 147	1,1		R1.t7-7	1
{6,3}(2,8)	{6,3}98	98 / 49 / 147	1,1		C1.t2-8′	1
{3,6}(2,8)	{3,6}98	49 / 98 / 147	1,1		C1.t2-8	1

Other Regular Maps

General Index