U-tiling: UQC26
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc61 |
*2224 |
(1,3,2) |
{4} |
{4.8.8.4} |
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
|
|
sqc2073
|
atn
|
I4/mmm |
139 |
tetragonal |
{4} |
8 |
(1,3) |
|
G
|
False
|
|
sqc7756
|
|
I41/acd |
142 |
tetragonal |
{4} |
16 |
(1,3) |
|
D
|
False
|
|
sqc155
|
cdl
|
P42/mmc |
131 |
tetragonal |
{4} |
4 |
(1,3) |
Topological data
| Vertex degrees | {4} |
| 2D vertex symbol | {4.8.8.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.2:128:5 46 47 20 54 55 24 13 58 59 28 70 71 36 29 62 63 37 74 75 41 82 83 78 79 96 49 98 99 66 67 112 102 103 120 53 68 86 87 128 80 69 88 77 92 73 104 108 101 116 97 105 110 111 109 106 107 124 121 126 127 125 122 123,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,9 3 12 13 7 16 11 15 25 19 28 33 23 36 27 41 31 44 35 49 39 52 43 57 47 60 51 69 55 72 59 81 63 84 85 67 88 71 97 75 100 101 79 104 83 87 113 91 116 117 95 120 99 103 121 107 124 125 111 128 115 119 123 127:4 8 8 4 8 8 4 4 4 4 4 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 51): 't2', (0, 60): 't3', (0, 41): 'tau2^-1', (0, 57): 't1', (0, 72): 't2', (2, 51): 't2', (0, 126): 't2^-1*tau3*t1*tau2^-1', (0, 121): 't2*tau3^-1*t1^-1*tau2', (0, 10): 't1^-1', (2, 112): 't3^-1', (2, 43): 't3', (2, 63): 't3', (0, 34): 'tau3', (0, 124): 'tau1*t3^-1', (0, 14): 't1^-1', (0, 123): 't2', (0, 36): 't2^-1', (0, 26): 'tau2^-1', (0, 125): 't2^-1*tau3*t1*tau2^-1', (2, 96): 't2^-1', (0, 28): 't3^-1', (0, 50): 'tau3', (0, 108): 'tau1', (2, 116): 't3', (0, 122): 't2*tau3^-1*t1^-1*tau2', (0, 33): 'tau3', (0, 42): 'tau2^-1', (0, 13): 't1^-1', (2, 48): 't2', (2, 119): 't3', (0, 25): 'tau2^-1', (0, 104): 'tau1^-1', (0, 120): 'tau1^-1*t3', (2, 99): 't2^-1', (2, 40): 't3', (2, 115): 't3^-1', (0, 49): 'tau3', (2, 60): 't3', }