Regular maps in the orientable surface of genus 82

Name	Schläfli	V / F / E	mV, mF	notes	C&D no.	images	wire- frames
C82.1	{3,8}12	486 / 1296 / 1944	1,1		C82.1	0	0
C82.1′	{8,3}12	1296 / 486 / 1944	1,1		C82.1′	0	0
R82.1	{3,8}12	486 / 1296 / 1944	1,1		R82.1	0	0
R82.1′	{8,3}12	1296 / 486 / 1944	1,1		R82.1′	0	0
R82.10	{4,6}12	324 / 486 / 972	1,1		R82.10	0	0
R82.10′	{6,4}12	486 / 324 / 972	1,1		R82.10′	0	0
R82.11	{4,6}12	324 / 486 / 972	1,1		R82.11	0	0
R82.11′	{6,4}12	486 / 324 / 972	1,1		R82.11′	0	0
R82.2	{3,12}18	162 / 648 / 972	1,1		R82.2	0	0
R82.2′	{12,3}18	648 / 162 / 972	1,1		R82.2′	0	0
R82.3	{3,12}18	162 / 648 / 972	1,1		R82.3	0	0
R82.3′	{12,3}18	648 / 162 / 972	1,1		R82.3′	0	0
R82.4	{3,18}18	81 / 486 / 729	3,1		R82.4	0	0
R82.4′	{18,3}18	486 / 81 / 729	1,3		R82.4′	0	0
R82.5	{3,18}18	81 / 486 / 729	1,1		R82.5	0	0
R82.5′	{18,3}18	486 / 81 / 729	1,1		R82.5′	0	0
R82.6	{3,18}18	81 / 486 / 729	1,1		R82.6	0	0
R82.6′	{18,3}18	486 / 81 / 729	1,1		R82.6′	0	0
R82.7	{3,18}18	81 / 486 / 729	1,1		R82.7	0	0
R82.7′	{18,3}18	486 / 81 / 729	1,1		R82.7′	0	0
C82.3	{4,8}8	162 / 324 / 648	1,1		C82.3	0	0
C82.3′	{8,4}8	324 / 162 / 648	1,1		C82.3′	0	0
R82.12	{4,8}8	162 / 324 / 648	1,1		R82.12	0	0
R82.12′	{8,4}8	324 / 162 / 648	1,1		R82.12′	0	0
C82.2	{3,24}12	54 / 432 / 648	3,1		C82.2	0	0
C82.2′	{24,3}12	432 / 54 / 648	1,3		C82.2′	0	0
R82.8	{3,24}36	54 / 432 / 648	2,1		R82.8	0	0
R82.8′	{24,3}36	432 / 54 / 648	1,2		R82.8′	0	0
R82.9	{3,24}36	54 / 432 / 648	2,1		R82.9	0	0
R82.9′	{24,3}36	432 / 54 / 648	1,2		R82.9′	0	0
C82.8	{6,6}18	162 / 162 / 486	1,1		C82.8	0	0
C82.8′	{6,6}18	162 / 162 / 486	1,1		C82.8′	0	0
R82.20	{6,6}18	162 / 162 / 486	1,1		R82.20	0	0
R82.20′	{6,6}18	162 / 162 / 486	1,1		R82.20′	0	0
R82.21	{6,6}6	162 / 162 / 486	1,1		R82.21	0	0
R82.21′	{6,6}6	162 / 162 / 486	1,1		R82.21′	0	0
R82.22	{6,6}6	162 / 162 / 486	1,1		R82.22	0	0
R82.23	{6,6}18	162 / 162 / 486	1,1		R82.23	0	0
R82.23′	{6,6}18	162 / 162 / 486	1,1		R82.23′	0	0
R82.24	{6,6}18	162 / 162 / 486	1,1		R82.24	0	0
R82.25	{6,6}18	162 / 162 / 486	2,1		R82.25	0	0
R82.25′	{6,6}18	162 / 162 / 486	1,2		R82.25′	0	0
C82.4	{4,12}18	81 / 243 / 486	1,1		C82.4	0	0
C82.4′	{12,4}18	243 / 81 / 486	1,1		C82.4′	0	0
C82.5	{4,12}18	81 / 243 / 486	1,1		C82.5	0	0
C82.5′	{12,4}18	243 / 81 / 486	1,1		C82.5′	0	0
C82.6	{4,12}18	81 / 243 / 486	1,1		C82.6	0	0
C82.6′	{12,4}18	243 / 81 / 486	1,1		C82.6′	0	0
R82.13	{4,12}18	81 / 243 / 486	3,1		R82.13	0	0
R82.13′	{12,4}18	243 / 81 / 486	1,3		R82.13′	0	0
R82.14	{4,12}18	81 / 243 / 486	1,1		R82.14	0	0
R82.14′	{12,4}18	243 / 81 / 486	1,1		R82.14′	0	0
R82.15	{4,12}18	81 / 243 / 486	1,1		R82.15	0	0
R82.15′	{12,4}18	243 / 81 / 486	1,1		R82.15′	0	0
R82.16	{4,12}6	81 / 243 / 486	1,1		R82.16	0	0
R82.16′	{12,4}6	243 / 81 / 486	1,1		R82.16′	0	0
R82.19	{5,10}6	81 / 162 / 405	1,1		R82.19	0	0
R82.19′	{10,5}6	162 / 81 / 405	1,1		R82.19′	0	0
C82.7	{4,40}40	18 / 180 / 360	5,1		C82.7	0	0
C82.7′	{40,4}40	180 / 18 / 360	1,5		C82.7′	0	0
R82.17	{4,166}332	4 / 166 / 332	83,2		R82.17	(see series m)	0
R82.17′	{166,4}332	166 / 4 / 332	2,83		R82.17′	(see series l)	0
R82.18	{4,328}328	2 / 164 / 328	328,2		R82.18	(see series h)	0
R82.18′	{328,4}328	164 / 2 / 328	2,328		R82.18′	(see series j)	0
C82.9	{8,8}18	81 / 81 / 324	1,1		C82.9	0	0
R82.50	{8,8}6	81 / 81 / 324	1,1		R82.50	0	0
R82.26	{6,12}12	54 / 108 / 324	3,1		R82.26	0	0
R82.26′	{12,6}12	108 / 54 / 324	1,3		R82.26′	0	0
R82.27	{6,12}12	54 / 108 / 324	3,1		R82.27	0	0
R82.27′	{12,6}12	108 / 54 / 324	1,3		R82.27′	0	0
R82.28	{6,12}12	54 / 108 / 324	3,1		R82.28	0	0
R82.28′	{12,6}12	108 / 54 / 324	1,3		R82.28′	0	0
R82.29	{6,12}12	54 / 108 / 324	3,1		R82.29	0	0
R82.29′	{12,6}12	108 / 54 / 324	1,3		R82.29′	0	0
R82.30	{6,12}12	54 / 108 / 324	1,1		R82.30	0	0
R82.30′	{12,6}12	108 / 54 / 324	1,1		R82.30′	0	0
R82.31	{6,12}12	54 / 108 / 324	3,1		R82.31	0	0
R82.31′	{12,6}12	108 / 54 / 324	1,3		R82.31′	0	0
R82.32	{6,12}12	54 / 108 / 324	1,1		R82.32	0	0
R82.32′	{12,6}12	108 / 54 / 324	1,1		R82.32′	0	0
R82.33	{6,12}4	54 / 108 / 324	1,1		R82.33	0	0
R82.33′	{12,6}4	108 / 54 / 324	1,1		R82.33′	0	0
R82.34	{6,12}12	54 / 108 / 324	3,1		R82.34	0	0
R82.34′	{12,6}12	108 / 54 / 324	1,3		R82.34′	0	0
R82.35	{6,12}36	54 / 108 / 324	2,1		R82.35	0	0
R82.35′	{12,6}36	108 / 54 / 324	1,2		R82.35′	0	0
R82.36	{6,12}12	54 / 108 / 324	2,1		R82.36	0	0
R82.36′	{12,6}12	108 / 54 / 324	1,2		R82.36′	0	0
R82.37	{6,12}12	54 / 108 / 324	2,1		R82.37	0	0
R82.37′	{12,6}12	108 / 54 / 324	1,2		R82.37′	0	0
R82.38	{6,12}12	54 / 108 / 324	2,1		R82.38	0	0
R82.38′	{12,6}12	108 / 54 / 324	1,2		R82.38′	0	0
R82.39	{6,12}36	54 / 108 / 324	4,1		R82.39	0	0
R82.39′	{12,6}36	108 / 54 / 324	1,4		R82.39′	0	0
R82.40	{6,12}36	54 / 108 / 324	2,1		R82.40	0	0
R82.40′	{12,6}36	108 / 54 / 324	1,2		R82.40′	0	0
R82.41	{6,12}36	54 / 108 / 324	2,1		R82.41	0	0
R82.41′	{12,6}36	108 / 54 / 324	1,2		R82.41′	0	0
R82.42	{6,30}30	18 / 90 / 270	5,1		R82.42	0	0
R82.42′	{30,6}30	90 / 18 / 270	1,5		R82.42′	0	0
R82.43	{6,30}30	18 / 90 / 270	10,1		R82.43	0	0
R82.43′	{30,6}30	90 / 18 / 270	1,10		R82.43′	0	0
R82.44	{6,30}30	18 / 90 / 270	5,1		R82.44	0	0
R82.44′	{30,6}30	90 / 18 / 270	1,5		R82.44′	0	0
R82.45	{6,30}30	18 / 90 / 270	5,1		R82.45	0	0
R82.45′	{30,6}30	90 / 18 / 270	1,5		R82.45′	0	0
R82.46	{6,84}84	6 / 84 / 252	42,1		R82.46	0	0
R82.46′	{84,6}84	84 / 6 / 252	1,42		R82.46′	0	0
R82.47	{6,84}84	6 / 84 / 252	42,3		R82.47	0	0
R82.47′	{84,6}84	84 / 6 / 252	3,42		R82.47′	0	0
R82.48	{6,84}84	6 / 84 / 252	28,3		R82.48	0	0
R82.48′	{84,6}84	84 / 6 / 252	3,28		R82.48′	0	0
R82.49	{6,246}82	2 / 82 / 246	246,3		R82.49	(see series p)	0
R82.49′	{246,6}82	82 / 2 / 246	3,246		R82.49′	(see series q)	0
C82.10	{9,18}6	27 / 54 / 243	1,3		C82.10	0	0
C82.10′	{18,9}6	54 / 27 / 243	3,1		C82.10′	0	0
C82.11	{9,18}18	27 / 54 / 243	1,3		C82.11	0	0
C82.11′	{18,9}18	54 / 27 / 243	3,1		C82.11′	0	0
C82.12	{9,18}18	27 / 54 / 243	1,3		C82.12	0	0
C82.12′	{18,9}18	54 / 27 / 243	3,1		C82.12′	0	0
R82.51	{9,18}18	27 / 54 / 243	3,1		R82.51	0	0
R82.51′	{18,9}18	54 / 27 / 243	1,3		R82.51′	0	0
R82.52	{9,18}6	27 / 54 / 243	3,3		R82.52	0	0
R82.52′	{18,9}6	54 / 27 / 243	3,3		R82.52′	0	0
R82.53	{9,18}18	27 / 54 / 243	3,3		R82.53	0	0
R82.53′	{18,9}18	54 / 27 / 243	3,3		R82.53′	0	0
R82.54	{9,18}6	27 / 54 / 243	3,1		R82.54	0	0
R82.54′	{18,9}6	54 / 27 / 243	1,3		R82.54′	0	0
R82.55	{9,18}18	27 / 54 / 243	3,1		R82.55	0	0
R82.55′	{18,9}18	54 / 27 / 243	1,3		R82.55′	0	0
R82.56	{9,18}18	27 / 54 / 243	3,1		R82.56	0	0
R82.56′	{18,9}18	54 / 27 / 243	1,3		R82.56′	0	0
R82.57	{9,18}18	27 / 54 / 243	3,3		R82.57	0	0
R82.57′	{18,9}18	54 / 27 / 243	3,3		R82.57′	0	0
R82.58	{9,18}6	27 / 54 / 243	3,3		R82.58	0	0
R82.58′	{18,9}6	54 / 27 / 243	3,3		R82.58′	0	0
R82.59	{9,18}6	27 / 54 / 243	3,1		R82.59	0	0
R82.59′	{18,9}6	54 / 27 / 243	1,3		R82.59′	0	0
R82.60	{9,18}18	27 / 54 / 243	3,3		R82.60	0	0
R82.60′	{18,9}18	54 / 27 / 243	3,3		R82.60′	0	0
R82.61	{9,18}18	27 / 54 / 243	3,1		R82.61	0	0
R82.61′	{18,9}18	54 / 27 / 243	1,3		R82.61′	0	0
R82.62	{9,18}18	27 / 54 / 243	3,3		R82.62	0	0
R82.62′	{18,9}18	54 / 27 / 243	3,3		R82.62′	0	0
C82.13	{12,24}8	18 / 36 / 216	3,3		C82.13	0	0
C82.13′	{24,12}8	36 / 18 / 216	3,3		C82.13′	0	0
R82.65	{12,24}8	18 / 36 / 216	6,2		R82.65	0	0
R82.65′	{24,12}8	36 / 18 / 216	2,6		R82.65′	0	0
R82.66	{12,24}24	18 / 36 / 216	6,2		R82.66	0	0
R82.66′	{24,12}24	36 / 18 / 216	2,6		R82.66′	0	0
R82.67	{12,24}24	18 / 36 / 216	6,2		R82.67	0	0
R82.67′	{24,12}24	36 / 18 / 216	2,6		R82.67′	0	0
R82.68	{12,24}8	18 / 36 / 216	6,2		R82.68	0	0
R82.68′	{24,12}8	36 / 18 / 216	2,6		R82.68′	0	0
R82.69	{12,24}24	18 / 36 / 216	4,2		R82.69	0	0
R82.69′	{24,12}24	36 / 18 / 216	2,4		R82.69′	0	0
R82.70	{12,24}24	18 / 36 / 216	8,2		R82.70	0	0
R82.70′	{24,12}24	36 / 18 / 216	2,8		R82.70′	0	0
R82.71	{12,24}24	18 / 36 / 216	4,2		R82.71	0	0
R82.71′	{24,12}24	36 / 18 / 216	2,4		R82.71′	0	0
R82.72	{12,24}24	18 / 36 / 216	4,2		R82.72	0	0
R82.72′	{24,12}24	36 / 18 / 216	2,4		R82.72′	0	0
R82.63	{9,72}12	6 / 48 / 216	18,3		R82.63	0	0
R82.63′	{72,9}12	48 / 6 / 216	3,18		R82.63′	0	0
R82.64	{10,205}82	2 / 41 / 205	205,5		R82.64	0	0
R82.64′	{205,10}82	41 / 2 / 205	5,205		R82.64′	0	0
R82.74	{21,42}6	9 / 18 / 189	7,7		R82.74	0	0
R82.74′	{42,21}6	18 / 9 / 189	7,7		R82.74′	0	0
R82.73	{18,63}42	6 / 21 / 189	21,9		R82.73	0	0
R82.73′	{63,18}42	21 / 6 / 189	9,21		R82.73′	0	0
C82.14	{40,40}6	9 / 9 / 180	5,5		C82.14	0	0
R82.75	{30,60}12	6 / 12 / 180	30,5		R82.75	0	0
R82.75′	{60,30}12	12 / 6 / 180	5,30		R82.75′	0	0
R82.76	{30,60}12	6 / 12 / 180	20,15		R82.76	0	0
R82.76′	{60,30}12	12 / 6 / 180	15,20		R82.76′	0	0
R82.77	{30,60}12	6 / 12 / 180	30,15		R82.77	0	0
R82.77′	{60,30}12	12 / 6 / 180	15,30		R82.77′	0	0
R82.78	{57,114}6	3 / 6 / 171	57,19		R82.78	0	0
R82.78′	{114,57}6	6 / 3 / 171	19,57		R82.78′	0	0
R82.79	{84,168}8	2 / 4 / 168	168,42		R82.79	0	0
R82.79′	{168,84}8	4 / 2 / 168	42,168		R82.79′	0	0
R82.81	{166,166}2	2 / 2 / 166	166,166		R82.81	(see series k)	0
R82.80	{165,330}2	1 / 2 / 165	330,165		R82.80	(see series z)	0
R82.80′	{330,165}2	2 / 1 / 165	165,330		R82.80′	(see series i)	0
R82.82	{328,328}2	1 / 1 / 164	328,328		R82.82	(see series s)	0

Other Regular Maps

General Index