U-tiling: UQC831
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc641 |
*22222 |
(2,4,3) |
{12,4} |
{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3} |
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
|
True
|
|
sqc5673
|
|
P4/mmm |
123 |
tetragonal |
{9,4} |
8 |
(2,4) |
|
G
|
False
|
|
sqc7407
|
|
I4122 |
98 |
tetragonal |
{12,4} |
8 |
(2,5) |
|
D
|
False
|
|
sqc1588
|
|
P4222 |
93 |
tetragonal |
{4,12} |
4 |
(2,4) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.2:128:73 18 19 6 7 16 57 26 27 14 15 89 22 23 32 81 30 31 105 50 51 38 39 64 97 66 67 46 47 80 121 54 55 88 82 83 62 63 113 70 71 96 90 91 78 79 86 87 94 95 114 115 102 103 112 122 123 110 111 118 119 128 126 127,2 4 8 22 15 10 12 16 30 18 20 24 31 26 28 32 34 36 40 54 63 42 44 48 70 79 50 52 56 87 58 60 64 86 66 68 72 95 74 76 80 94 82 84 88 90 92 96 98 100 104 118 111 106 108 112 126 114 116 120 127 122 124 128,33 3 5 7 24 41 11 13 15 32 49 19 21 23 65 27 29 31 35 37 39 56 43 45 47 72 51 53 55 97 59 61 63 88 67 69 71 105 75 77 79 96 113 83 85 87 121 91 93 95 99 101 103 120 107 109 111 128 115 117 119 123 125 127:4 3 3 4 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3,12 4 12 4 4 12 12 4> {(0, 16): 't1^-1', (1, 30): 't1', (2, 127): 't1^-1*tau3^-1*t2', (0, 41): 't2*tau3^-1', (0, 18): 't1^-1', (0, 31): 't1', (2, 120): 't1^-1', (1, 110): 'tau1', (0, 127): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 121): 'tau2^-1*t3^-1', (0, 55): 'tau2^-1', (0, 111): 'tau1', (2, 63): 't3^-1*tau2^-1', (2, 95): 'tau3^-1*t2', (0, 47): 't2', (0, 112): 't1', (1, 126): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 21): 't1^-1', (0, 17): 't1^-1', (1, 117): 't1*tau3*t2^-1', (1, 86): 'tau2', (0, 114): 't1*tau3*t2^-1', (0, 50): 'tau2^-1*t3^-1', (0, 63): 't3^-1', (1, 62): 't3^-1', (0, 95): 'tau3^-1', (2, 24): 't1', (1, 78): 't2^-1', (1, 53): 'tau2^-1*t3^-1', (0, 97): 't2*tau3^-1*t1^-1', (0, 42): 't2*tau3^-1', (1, 69): 'tau3*t2^-1', (2, 119): 'tau2*t3', (2, 31): 't1', (1, 125): 'tau2^-1*t3^-1', (1, 94): 'tau3^-1', (0, 49): 'tau2^-1*t3^-1', (0, 122): 'tau2^-1*t3^-1', }