U-tiling: UQC834
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
|
|
sqc1514
|
|
Fmmm |
69 |
orthorhombic |
{11,4} |
4 |
(2,4) |
|
G
|
False
|
|
sqc7475
|
|
Fddd |
70 |
orthorhombic |
{12,4} |
8 |
(2,5) |
|
D
|
True
|
|
sqc43
|
|
P4/mmm |
123 |
tetragonal |
{10,4} |
2 |
(2,3) |
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
<35.2:128:65 34 35 6 7 16 81 42 43 14 15 97 50 51 22 23 32 113 58 59 30 31 89 38 39 48 73 46 47 121 54 55 64 105 62 63 90 91 70 71 88 82 83 78 79 96 86 87 94 95 122 123 102 103 120 114 115 110 111 128 118 119 126 127,2 4 8 38 15 10 12 16 46 18 20 24 54 31 26 28 32 62 34 36 40 47 42 44 48 50 52 56 63 58 60 64 66 68 72 94 87 74 76 80 86 95 82 84 88 90 92 96 98 100 104 126 119 106 108 112 118 127 114 116 120 122 124 128,73 3 5 7 24 89 11 13 15 32 105 19 21 23 121 27 29 31 81 35 37 39 56 65 43 45 47 64 113 51 53 55 97 59 61 63 67 69 71 104 75 77 79 112 83 85 87 120 91 93 95 128 99 101 103 107 109 111 115 117 119 123 125 127:4 3 3 4 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3,12 4 12 4 12 12 4 4> {(0, 16): 'tau2^-1', (2, 0): 't3', (1, 118): 't2^-1*tau1^-1*t3', (0, 121): 'tau3*t1*tau2^-1', (1, 21): 't1^-1', (0, 95): 'tau1', (0, 119): 't2^-1*tau1^-1*t3', (2, 119): 't2^-1', (0, 120): 'tau3', (0, 57): 't1', (1, 61): 't1', (0, 24): 'tau3', (2, 8): 't2', (1, 126): 't2*tau1*t3^-1', (1, 117): 'tau3^-1*t1^-1*tau2', (2, 32): 't2^-1', (1, 86): 'tau1^-1', (2, 79): 't3^-1', (0, 50): 't1', (0, 127): 't2*tau1*t3^-1', (0, 114): 'tau3^-1*t1^-1*tau2', (0, 122): 'tau3*t1*tau2^-1', (2, 103): 't3^-1', (0, 87): 'tau1^-1', (0, 113): 'tau3^-1*t1^-1*tau2', (0, 56): 'tau2', (2, 127): 't2', (2, 40): 't3^-1', (1, 94): 'tau1', (1, 125): 'tau3*t1*tau2^-1', (0, 49): 't1', (0, 58): 't1', }