Regular maps in the orientable surface of genus 55

Name	Schläfli	V / F / E	mV, mF	notes	C&D no.	images	wire- frames
C55.1	{4,6}18	216 / 324 / 648	1,1		C55.1	0	0
C55.1′	{6,4}18	324 / 216 / 648	1,1		C55.1′	0	0
R55.4	{4,6}18	216 / 324 / 648	1,1		R55.4	0	0
R55.4′	{6,4}18	324 / 216 / 648	1,1		R55.4′	0	0
R55.5	{4,6}6	216 / 324 / 648	1,1		R55.5	0	0
R55.5′	{6,4}6	324 / 216 / 648	1,1		R55.5′	0	0
R55.1	{3,12}72	108 / 432 / 648	2,1		R55.1	0	0
R55.1′	{12,3}72	432 / 108 / 648	1,2		R55.1′	0	0
C55.2	{4,8}24	108 / 216 / 432	1,1		C55.2	0	0
C55.2′	{8,4}24	216 / 108 / 432	1,1		C55.2′	0	0
R55.2	{3,24}6	36 / 288 / 432	1,1		R55.2	0	0
R55.2′	{24,3}6	288 / 36 / 432	1,1		R55.2′	0	0
R55.16	{5,6}10	135 / 162 / 405	1,1		R55.16	0	0
R55.16′	{6,5}10	162 / 135 / 405	1,1		R55.16′	0	0
R55.6	{4,10}8	72 / 180 / 360	2,1		R55.6	0	0
R55.6′	{10,4}8	180 / 72 / 360	1,2		R55.6′	0	0
R55.7	{4,10}8	72 / 180 / 360	2,1		R55.7	0	0
R55.7′	{10,4}8	180 / 72 / 360	1,2		R55.7′	0	0
R55.8	{4,10}10	72 / 180 / 360	1,1		R55.8	0	0
R55.8′	{10,4}10	180 / 72 / 360	1,1		R55.8′	0	0
R55.3	{3,60}20	12 / 240 / 360	12,1		R55.3	0	0
R55.3′	{60,3}20	240 / 12 / 360	1,12		R55.3′	0	0
C55.5	{6,6}12	108 / 108 / 324	1,1		C55.5	0	0
R55.17	{6,6}4	108 / 108 / 324	1,1		R55.17	0	0
R55.18	{6,6}12	108 / 108 / 324	1,1		R55.18	0	0
R55.9	{4,12}6	54 / 162 / 324	1,1		R55.9	0	0
R55.9′	{12,4}6	162 / 54 / 324	1,1		R55.9′	0	0
C55.3	{4,16}16	36 / 144 / 288	2,1		C55.3	0	0
C55.3′	{16,4}16	144 / 36 / 288	1,2		C55.3′	0	0
C55.4	{4,16}16	36 / 144 / 288	2,1		C55.4	0	0
C55.4′	{16,4}16	144 / 36 / 288	1,2		C55.4′	0	0
R55.10	{4,16}48	36 / 144 / 288	4,1		R55.10	0	0
R55.10′	{16,4}48	144 / 36 / 288	1,4		R55.10′	0	0
R55.11	{4,16}48	36 / 144 / 288	4,1		R55.11	0	0
R55.11′	{16,4}48	144 / 36 / 288	1,4		R55.11′	0	0
R55.32	{7,7}18	72 / 72 / 252	1,1		R55.32	0	0
R55.32′	{7,7}18	72 / 72 / 252	1,1		R55.32′	0	0
R55.12	{4,28}42	18 / 126 / 252	7,1		R55.12	0	0
R55.12′	{28,4}42	126 / 18 / 252	1,7		R55.12′	0	0
C55.6	{6,9}18	54 / 81 / 243	3,1		C55.6	0	0
C55.6′	{9,6}18	81 / 54 / 243	1,3		C55.6′	0	0
R55.19	{6,9}18	54 / 81 / 243	3,1		R55.19	0	0
R55.19′	{9,6}18	81 / 54 / 243	1,3		R55.19′	0	0
R55.20	{6,9}18	54 / 81 / 243	1,1		R55.20	0	0
R55.20′	{9,6}18	81 / 54 / 243	1,1		R55.20′	0	0
R55.21	{6,9}6	54 / 81 / 243	1,1		R55.21	0	0
R55.21′	{9,6}6	81 / 54 / 243	1,1		R55.21′	0	0
R55.22	{6,9}18	54 / 81 / 243	1,1		R55.22	0	0
R55.22′	{9,6}18	81 / 54 / 243	1,1		R55.22′	0	0
R55.23	{6,9}18	54 / 81 / 243	3,1		R55.23	0	0
R55.23′	{9,6}18	81 / 54 / 243	1,3		R55.23′	0	0
R55.13	{4,112}112	4 / 112 / 224	56,2		R55.13	(see series m)	0
R55.13′	{112,4}112	112 / 4 / 224	2,56		R55.13′	(see series l)	0
R55.14	{4,112}112	4 / 112 / 224	56,1		R55.14	0	0
R55.14′	{112,4}112	112 / 4 / 224	1,56		R55.14′	0	0
R55.15	{4,220}110	2 / 110 / 220	220,2		R55.15	(see series h)	0
R55.15′	{220,4}110	110 / 2 / 220	2,220		R55.15′	(see series j)	0
C55.7	{8,8}6	54 / 54 / 216	1,1		C55.7	0	0
R55.24	{6,12}6	36 / 72 / 216	1,1		R55.24	0	0
R55.24′	{12,6}6	72 / 36 / 216	1,1		R55.24′	0	0
R55.25	{6,12}24	36 / 72 / 216	2,2		R55.25	0	0
R55.25′	{12,6}24	72 / 36 / 216	2,2		R55.25′	0	0
R55.26	{6,12}6	36 / 72 / 216	1,2		R55.26	0	0
R55.26′	{12,6}6	72 / 36 / 216	2,1		R55.26′	0	0
R55.27	{6,12}6	36 / 72 / 216	1,1		R55.27	0	0
R55.27′	{12,6}6	72 / 36 / 216	1,1		R55.27′	0	0
R55.28	{6,21}42	18 / 63 / 189	7,1		R55.28	0	0
R55.28′	{21,6}42	63 / 18 / 189	1,7		R55.28′	0	0
R55.29	{6,30}10	12 / 60 / 180	6,2		R55.29	0	0
R55.29′	{30,6}10	60 / 12 / 180	2,6		R55.29′	0	0
R55.30	{6,57}114	6 / 57 / 171	19,3		R55.30	0	0
R55.30′	{57,6}114	57 / 6 / 171	3,19		R55.30′	0	0
R55.31	{6,165}110	2 / 55 / 165	165,3		R55.31	(see series p)	0
R55.31′	{165,6}110	55 / 2 / 165	3,165		R55.31′	(see series q)	0
R55.33	{12,12}6	27 / 27 / 162	3,3		R55.33	0	0
C55.8	{16,16}6	18 / 18 / 144	2,2		C55.8	0	0
C55.9	{16,16}12	18 / 18 / 144	2,2		C55.9	0	0
R55.46	{16,16}6	18 / 18 / 144	4,4		R55.46	0	0
R55.47	{16,16}12	18 / 18 / 144	4,4		R55.47	0	0
R55.34	{12,24}12	12 / 24 / 144	6,4		R55.34	0	0
R55.34′	{24,12}12	24 / 12 / 144	4,6		R55.34′	0	0
R55.35	{12,24}6	12 / 24 / 144	6,4		R55.35	0	0
R55.35′	{24,12}6	24 / 12 / 144	4,6		R55.35′	0	0
R55.36	{12,24}24	12 / 24 / 144	12,2		R55.36	0	0
R55.36′	{24,12}24	24 / 12 / 144	2,12		R55.36′	0	0
R55.37	{12,24}24	12 / 24 / 144	12,1		R55.37	0	0
R55.37′	{24,12}24	24 / 12 / 144	1,12		R55.37′	0	0
R55.38	{12,24}24	12 / 24 / 144	4,6		R55.38	0	0
R55.38′	{24,12}24	24 / 12 / 144	6,4		R55.38′	0	0
R55.39	{12,24}24	12 / 24 / 144	4,3		R55.39	0	0
R55.39′	{24,12}24	24 / 12 / 144	3,4		R55.39′	0	0
R55.40	{12,24}6	12 / 24 / 144	6,2		R55.40	0	0
R55.40′	{24,12}6	24 / 12 / 144	2,6		R55.40′	0	0
R55.41	{12,24}12	12 / 24 / 144	6,2		R55.41	0	0
R55.41′	{24,12}12	24 / 12 / 144	2,6		R55.41′	0	0
R55.42	{12,24}24	12 / 24 / 144	12,6		R55.42	0	0
R55.42′	{24,12}24	24 / 12 / 144	6,12		R55.42′	0	0
R55.43	{12,24}24	12 / 24 / 144	12,3		R55.43	0	0
R55.43′	{24,12}24	24 / 12 / 144	3,12		R55.43′	0	0
R55.45	{15,30}6	9 / 18 / 135	5,5		R55.45	0	0
R55.45′	{30,15}6	18 / 9 / 135	5,5		R55.45′	0	0
R55.44	{12,132}22	2 / 22 / 132	132,6		R55.44	0	0
R55.44′	{132,12}22	22 / 2 / 132	6,132		R55.44′	0	0
R55.50	{28,28}6	9 / 9 / 126	7,7		R55.50	0	0
R55.51	{30,60}8	4 / 8 / 120	20,10		R55.51	0	0
R55.51′	{60,30}8	8 / 4 / 120	10,20		R55.51′	0	0
R55.48	{24,120}10	2 / 10 / 120	120,12		R55.48	0	0
R55.48′	{120,24}10	10 / 2 / 120	12,120		R55.48′	0	0
R55.49	{24,120}20	2 / 10 / 120	120,12		R55.49	0	0
R55.49′	{120,24}20	10 / 2 / 120	12,120		R55.49′	0	0
R55.52	{39,78}6	3 / 6 / 117	39,13		R55.52	0	0
R55.52′	{78,39}6	6 / 3 / 117	13,39		R55.52′	0	0
R55.53	{46,115}10	2 / 5 / 115	115,23		R55.53	0	0
R55.53′	{115,46}10	5 / 2 / 115	23,115		R55.53′	0	0
R55.55	{112,112}4	2 / 2 / 112	112,112		R55.55	0	0
R55.56	{112,112}2	2 / 2 / 112	112,112		R55.56	(see series k)	0
R55.54	{111,222}2	1 / 2 / 111	222,111		R55.54	(see series z)	0
R55.54′	{222,111}2	2 / 1 / 111	111,222		R55.54′	(see series i)	0
R55.57	{220,220}2	1 / 1 / 110	220,220		R55.57	(see series s)	0

Other Regular Maps

General Index