U-tiling: UQC20
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc39 |
*266 |
(1,2,2) |
{3} |
{6.12.12} |
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
|
|
sqc9271
|
pbz
|
Pn-3m |
224 |
cubic |
{3} |
24 |
(1,2) |
|
G
|
False
|
|
sqc9266
|
pcu-g
|
Ia-3 |
206 |
cubic |
{3} |
24 |
(1,2) |
|
D
|
False
|
|
sqc9270
|
uta
|
Fd-3m |
227 |
cubic |
{3} |
24 |
(1,2) |
Topological data
| Vertex degrees | {3} |
| 2D vertex symbol | {6.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:144:7 5 6 10 14 15 17 18 22 28 34 32 33 38 39 43 41 42 47 48 49 56 57 61 64 71 72 76 80 81 85 83 84 88 94 92 93 77 78 101 102 106 104 105 109 115 113 114 121 124 110 111 107 108 127 119 120 130 116 117 133 136 139 142 137 138 134 135 140 141 143 144,2 21 5 27 8 36 11 45 14 60 17 75 20 23 96 26 29 117 32 54 35 38 126 41 69 44 47 138 50 87 53 56 99 59 62 84 65 108 68 71 120 74 77 105 80 129 83 86 89 132 92 123 95 98 101 141 104 107 110 144 113 135 116 119 122 125 128 131 134 137 140 143,19 3 25 6 34 9 43 12 58 15 73 18 21 94 24 27 115 30 52 33 36 124 39 67 42 45 136 48 85 51 54 97 57 60 82 63 106 66 69 118 72 75 103 78 127 81 84 87 130 90 121 93 96 99 139 102 105 108 142 111 133 114 117 120 123 126 129 132 135 138 141 144:12 6 6 6 12 12 6 12,3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3> {(1, 98): 't3^-1', (2, 117): 't2^-1', (0, 107): 'tau2', (2, 51): 't1', (2, 120): 't3^-1', (1, 110): 't2', (1, 68): 't1', (1, 101): 't2^-1', (0, 109): 'tau3', (0, 140): 'tau1^-1', (2, 63): 't1^-1', (0, 88): 'tau2^-1', (0, 142): 'tau1', (0, 100): 'tau3^-1', (2, 87): 't3', (1, 32): 't1^-1', (2, 54): 't3', (1, 71): 't2', (0, 110): 'tau3', (1, 86): 't1', (1, 89): 't3', (0, 50): 'tau2^-1', (1, 122): 't3^-1', (1, 80): 't3^-1', (0, 139): 'tau1^-1', (1, 113): 't2', (2, 39): 't1^-1', (2, 108): 't2', (2, 48): 't1^-1', (2, 132): 't2^-1', (0, 143): 'tau1', (2, 126): 't3', (0, 101): 'tau3^-1', (1, 107): 't1', (0, 49): 'tau2^-1', (2, 138): 't2', }