U-tiling: UQC1903
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1403 |
*2626 |
(2,5,4) |
{7,3} |
{12.3.4.6.4.3.12}{3.4.4} |
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
|
|
sqc7265
|
|
R-3m |
166 |
rhombohedral |
{7,3} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7264
|
|
R-3 |
148 |
rhombohedral |
{7,3} |
12 |
(2,6) |
|
D
|
False
|
|
sqc7261
|
|
R-3m |
166 |
rhombohedral |
{7,3} |
12 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {12.3.4.6.4.3.12}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.2:120:91 102 103 6 7 18 19 20 81 112 113 16 17 111 72 73 26 27 48 49 50 101 62 63 36 37 58 59 60 51 92 93 46 47 82 83 56 57 71 66 67 88 89 90 76 77 98 99 100 86 87 96 97 106 107 118 119 120 116 117,2 4 9 106 8 30 12 14 19 116 18 40 22 24 29 76 28 32 34 39 66 38 42 44 49 96 48 70 52 54 59 86 58 80 62 64 69 68 72 74 79 78 82 84 89 88 110 92 94 99 98 120 102 104 109 108 112 114 119 118,21 3 5 7 108 10 31 13 15 17 118 20 23 25 27 78 30 33 35 37 68 40 61 43 45 47 98 50 71 53 55 57 88 60 63 65 67 70 73 75 77 80 101 83 85 87 90 111 93 95 97 100 103 105 107 110 113 115 117 120:12 3 4 6 3 3 4 3 4 3 3 4 4 4,7 3 7 3 3 3 7 3 7 3 7 7> {(2, 97): 't3^-1', (2, 27): 't3', (0, 51): 't2', (0, 41): 't3', (0, 62): 't2^-1', (2, 7): 't1^-1', (0, 22): 't3', (0, 12): 't1^-1', (1, 95): 't3^-1', (2, 57): 't2', (0, 30): 'tau3', (0, 52): 't2', (0, 42): 't3', (2, 17): 't1^-1', (2, 37): 't2', (0, 2): 't1^-1', (0, 101): 't1', (1, 85): 't2^-1', (0, 60): 'tau1', (0, 20): 'tau2^-1', (0, 10): 'tau3', (1, 75): 't3^-1', (0, 61): 't2^-1', (1, 35): 't2', (0, 50): 'tau1^-1', (0, 21): 't3', (0, 11): 't1^-1', (0, 0): 'tau2^-1', (1, 115): 't1', (1, 105): 't1', }