U-tiling: UQC3008
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2329 |
*222222 |
(2,7,5) |
{3,8} |
{4.8.4}{4.4.4.4.8.4.4.8} |
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
|
True
|
|
sqc801
|
|
Pmmm |
47 |
orthorhombic |
{3,6} |
6 |
(2,6) |
|
G
|
False
|
|
sqc6397
|
|
I212121 |
24 |
orthorhombic |
{8,3,3} |
12 |
(3,8) |
|
D
|
False
|
|
sqc1274
|
|
P222 |
16 |
orthorhombic |
{3,8} |
6 |
(2,7) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.8.4}{4.4.4.4.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.1:112:29 58 59 6 7 64 65 24 25 40 41 70 43 72 73 20 21 78 79 54 55 84 86 87 34 35 92 93 52 53 98 100 101 48 49 106 107 112 85 62 63 80 81 96 97 99 76 77 110 111 90 91 108 109 104 105,2 4 12 8 11 10 14 16 18 26 22 25 24 28 30 32 40 36 39 38 42 44 46 54 50 53 52 56 58 60 68 64 67 66 70 72 74 82 78 81 80 84 86 88 96 92 95 94 98 100 102 110 106 109 108 112,15 3 5 7 9 11 13 28 17 19 21 23 25 27 43 31 33 35 37 39 41 56 45 47 49 51 53 55 71 59 61 63 65 67 69 84 73 75 77 79 81 83 99 87 89 91 93 95 97 112 101 103 105 107 109 111:4 4 8 4 4 4 4 4 4 4 4 8,8 3 3 8 3 3 8 3 3 8 3 3> {(0, 51): 'tau2^-1*t3^-1', (0, 41): 't3*tau1^-1', (0, 95): 'tau1*t2', (2, 56): 't2^-1*tau3', (0, 107): 'tau2^-1*t3^-1', (0, 55): 't3*tau1^-1*t2^-1*tau3*t1', (0, 96): 'tau1*t2', (0, 22): 't1^-1', (2, 69): 't2^-1*tau3', (2, 98): 't1^-1*tau3^-1*t2', (0, 52): 'tau2^-1*t3^-1', (0, 23): 't1^-1', (0, 13): 't2', (0, 108): 'tau2^-1*t3^-1', (0, 27): 'tau3', (0, 39): 't3', (0, 16): 't1^-1', (2, 111): 't1^-1*tau3^-1*t2', (0, 82): 't2^-1*tau1^-1*t3*tau2', (0, 53): 'tau2^-1*t1', (0, 109): 'tau2^-1*t3^-1*tau1*t2', (0, 98): 't1^-1', (0, 24): 't1^-1', (0, 40): 't3', (0, 21): 't1^-1', (0, 54): 'tau2^-1*t1', (0, 15): 't1^-1', }