U-tiling: UQC1937
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc147 |
2*26 |
(1,3,2) |
{5} |
{6.4.4.4.4} |
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
|
|
sqc12
|
bnn
|
P6/mmm |
191 |
hexagonal |
{5} |
2 |
(1,2) |
|
G
|
False
|
|
sqc7323
|
|
R-3c |
167 |
rhombohedral |
{5} |
12 |
(1,4) |
|
D
|
False
|
|
sqc1522
|
fnq
|
R-3m |
166 |
rhombohedral |
{5} |
6 |
(1,3) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {6.4.4.4.4}{4.4.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.2:120:91 4 5 96 97 18 19 20 81 14 15 86 87 111 24 25 116 117 48 49 50 101 34 35 106 107 58 59 60 51 44 45 56 57 54 55 71 64 65 76 77 88 89 90 74 75 98 99 100 84 85 94 95 104 105 118 119 120 114 115,2 9 6 8 107 30 12 19 16 18 117 40 22 29 26 28 77 32 39 36 38 67 42 49 46 48 97 70 52 59 56 58 87 80 62 69 66 68 72 79 76 78 82 89 86 88 110 92 99 96 98 120 102 109 106 108 112 119 116 118,21 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 97 100 103 105 107 110 113 115 117 120:4 4 6 6 4 4 4 4 4 4 4 4 4 4,5 5 5 5 5 5 5 5 5 5 5 5> {(2, 27): 't3', (2, 47): 't3', (2, 7): 't1^-1', (0, 55): 'tau1^-1', (0, 96): 'tau2', (0, 5): 'tau2^-1', (0, 35): 'tau3', (0, 26): 'tau2^-1', (1, 86): 't2^-1', (1, 76): 't3^-1', (2, 57): 't2', (0, 30): 'tau3', (0, 75): 'tau1^-1', (1, 36): 't2', (2, 17): 't1^-1', (2, 37): 't2', (0, 56): 'tau1^-1', (1, 116): 't1', (0, 16): 'tau3', (0, 60): 'tau1', (0, 20): 'tau2^-1', (0, 10): 'tau3', (0, 76): 'tau1^-1', (1, 106): 't1', (0, 36): 'tau3', (0, 50): 'tau1^-1', (0, 0): 'tau2^-1', (0, 25): 'tau2^-1', (0, 15): 'tau3', (1, 96): 't3^-1', }