U-tiling: UQC3204
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2423 |
*222222 |
(2,8,6) |
{4,8} |
{4.4.4.4}{4.4.4.4.4.4.4.4} |
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
|
True
|
|
sqc7019
|
|
Pmmm |
47 |
orthorhombic |
{7,4} |
12 |
(2,8) |
|
G
|
False
|
|
sqc7421
|
|
I212121 |
24 |
orthorhombic |
{8,4,4} |
12 |
(3,9) |
|
D
|
False
|
|
sqc1674
|
|
P222 |
16 |
orthorhombic |
{4,8} |
6 |
(2,8) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<44.1:128:33 66 67 20 21 8 9 26 27 44 45 78 79 80 49 82 83 24 25 60 61 94 95 96 98 99 52 53 40 41 58 59 110 111 112 114 115 56 57 126 127 128 97 84 85 72 73 90 91 108 109 113 88 89 124 125 116 117 104 105 122 123 120 121,2 4 6 16 10 15 12 14 18 20 22 32 26 31 28 30 34 36 38 48 42 47 44 46 50 52 54 64 58 63 60 62 66 68 70 80 74 79 76 78 82 84 86 96 90 95 92 94 98 100 102 112 106 111 108 110 114 116 118 128 122 127 124 126,17 3 5 7 9 11 13 15 32 19 21 23 25 27 29 31 49 35 37 39 41 43 45 47 64 51 53 55 57 59 61 63 81 67 69 71 73 75 77 79 96 83 85 87 89 91 93 95 113 99 101 103 105 107 109 111 128 115 117 119 121 123 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,8 4 4 8 4 4 8 4 4 8 4 4> {(0, 29): 'tau3', (0, 124): 'tau2^-1*t3^-1*tau1*t2', (0, 51): 'tau2^-1*t3^-1', (0, 60): 'tau2^-1*t1', (0, 18): 't1^-1', (0, 31): 'tau3', (0, 107): 'tau1*t2', (0, 62): 't3*tau1^-1*t2^-1*tau3*t1', (0, 43): 't3', (0, 20): 't1^-1', (0, 121): 'tau2^-1*t3^-1', (0, 116): 'tau2^-1*t3^-1', (0, 45): 't3*tau1^-1', (2, 80): 'tau3^-1*t2', (0, 57): 'tau2^-1*t3^-1', (2, 95): 'tau3^-1*t2', (0, 47): 't3*tau1^-1', (0, 115): 'tau2^-1*t3^-1', (0, 14): 't2', (0, 59): 'tau2^-1*t1', (0, 17): 't1^-1', (0, 26): 't1^-1', (0, 122): 'tau2^-1*t3^-1', (0, 112): 't1^-1', (0, 61): 't3*tau1^-1*t2^-1*tau3*t1', (0, 19): 't1^-1', (0, 63): 't3*tau1^-1*t2^-1*tau3*t1', (0, 123): 'tau2^-1*t3^-1*tau1*t2', (0, 30): 'tau3', (0, 52): 'tau2^-1*t3^-1', (0, 108): 'tau1*t2', (0, 13): 't2', (2, 112): 't1^-1*tau3^-1*t2', (0, 44): 't3', (0, 25): 't1^-1', (0, 15): 't2', (2, 127): 't1^-1*tau3^-1*t2', (0, 46): 't3*tau1^-1', (0, 58): 'tau2^-1*t3^-1', }