U-tiling: UQC105
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc22 |
*248 |
(1,1,2) |
{4} |
{4.8.4.8} |
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
|
|
sqc2202
|
ssb
|
I4/mmm |
139 |
tetragonal |
{4,4} |
8 |
(2,1) |
|
G
|
False
|
|
sqc8116
|
ubo
|
I41/acd |
142 |
tetragonal |
{4,4} |
16 |
(2,2) |
|
D
|
False
|
|
sqc183
|
pts
|
P42/mmc |
131 |
tetragonal |
{4,4} |
4 |
(2,1) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.8.4.8}{4.8.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:128:3 4 7 8 11 12 15 16 19 20 23 24 27 28 31 32 35 36 39 40 43 44 47 48 51 52 55 56 59 60 63 64 67 68 71 72 75 76 79 80 83 84 87 88 91 92 95 96 99 100 103 104 107 108 111 112 115 116 119 120 123 124 127 128,9 18 7 48 13 22 56 26 15 60 34 72 25 31 64 33 39 76 43 84 41 94 80 51 100 49 110 68 118 104 57 66 55 126 88 69 78 86 71 81 90 79 85 75 102 97 106 101 114 103 99 113 107 112 117 111 108 122 121 125 123 128 127 124,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128:4 8 8 8 8 4 4 4 4 4 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 87): 'tau3^-1', (1, 48): 't2', (1, 123): 't2*tau3^-1*t1^-1*tau2', (1, 83): 'tau2', (1, 103): 'tau2', (1, 126): 'tau1*t3^-1', (1, 99): 'tau3^-1', (1, 122): 'tau1^-1*t3', (1, 71): 't1', (1, 125): 't2^-1', (1, 116): 't3', (1, 121): 't2', (1, 112): 't3^-1', (1, 59): 't1', (1, 110): 'tau1', (1, 40): 't3', (1, 106): 'tau1^-1', (1, 80): 't3^-1', (1, 78): 't3^-1', (1, 38): 't2^-1', (1, 74): 't2', (1, 96): 't2^-1', (1, 30): 't3^-1', (1, 127): 't2^-1*tau3*t1*tau2^-1', }