U-tiling: UQC1934
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1418 |
*2626 |
(2,5,4) |
{7,3} |
{12.4.3.6.3.4.12}{4.4.3} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc7267
|
|
R-3m |
166 |
rhombohedral |
{3,7} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7268
|
|
R-3 |
148 |
rhombohedral |
{3,7} |
12 |
(2,6) |
|
D
|
False
|
|
sqc7262
|
|
R-3m |
166 |
rhombohedral |
{3,7} |
12 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {12.4.3.6.3.4.12}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.2:120:91 4 5 96 97 108 29 30 81 14 15 86 87 118 39 40 111 24 25 116 117 78 101 34 35 106 107 68 51 44 45 56 57 98 69 70 54 55 88 79 80 71 64 65 76 77 74 75 84 85 109 110 94 95 119 120 104 105 114 115,2 23 6 9 8 20 12 33 16 19 18 22 26 29 28 50 32 36 39 38 60 42 63 46 49 48 52 73 56 59 58 62 66 69 68 90 72 76 79 78 100 82 103 86 89 88 92 113 96 99 98 102 106 109 108 120 112 116 119 118,21 3 5 7 18 10 31 13 15 17 20 23 25 27 48 30 33 35 37 58 40 61 43 45 47 50 71 53 55 57 60 63 65 67 88 70 73 75 77 98 80 101 83 85 87 90 111 93 95 97 100 103 105 107 118 110 113 115 117 120:4 3 12 6 4 3 4 4 4 3 3 4 3 3,3 7 3 7 7 3 3 7 7 3 3 7> {(0, 55): 'tau1^-1', (0, 5): 'tau2^-1', (0, 26): 'tau2^-1', (0, 30): 'tau3', (0, 75): 'tau1^-1', (0, 35): 'tau3', (0, 56): 'tau1^-1', (0, 27): 't3', (0, 16): 'tau3', (0, 6): 'tau2^-1', (0, 60): 'tau1', (0, 20): 'tau2^-1', (0, 10): 'tau3', (0, 76): 'tau1^-1', (0, 57): 't2', (0, 47): 't3', (0, 36): 'tau3', (0, 17): 't1^-1', (0, 7): 't1^-1', (0, 50): 'tau1^-1', (0, 0): 'tau2^-1', (0, 25): 'tau2^-1', (0, 15): 'tau3', (0, 37): 't2', }