U-tiling: UQC3007
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
|
False
|
|
sqc6475
|
|
Cmma |
67 |
orthorhombic |
{8,3} |
12 |
(2,7) |
|
G
|
False
|
|
sqc6388
|
|
C2/c |
15 |
monoclinic |
{8,3,3} |
12 |
(3,8) |
|
D
|
True
|
|
sqc840
|
|
Cmmm |
65 |
orthorhombic |
{3,6} |
6 |
(2,5) |
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 80 81 68 69 42 43 86 87 20 21 92 93 108 109 96 97 56 100 101 34 35 106 107 94 95 110 111 72 73 48 49 78 79 66 67 82 83 99 62 63 112 85 76 77 98 90 91 104 105,2 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 85 59 61 63 65 67 69 98 99 73 75 77 79 81 83 112 87 89 91 93 95 97 101 103 105 107 109 111:4 4 8 4 4 4 4 8 4 4 4 4,8 3 3 8 3 3 8 3 8 3 3 3> {(2, 97): 'tau1^-1', (0, 16): 'tau3*t2^-1', (0, 29): 'tau3^-1*t2', (0, 51): 't3^-1', (0, 8): 'tau2^-1*t3^-1', (2, 56): 'tau1', (0, 43): 'tau2*t3', (0, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 10): 't3', (0, 22): 'tau3*t2^-1', (0, 57): 't3*tau2', (0, 24): 't2', (0, 36): 'tau3^-1*t2', (0, 38): 't2^-1', (0, 28): 't1', (0, 9): 't3', (0, 50): 'tau2*t3', (0, 63): 't3*tau2', (0, 21): 'tau3*t2^-1', (0, 30): 'tau3^-1*t2', (0, 52): 't3^-1', (0, 42): 't1', (0, 23): 't2', (2, 70): 'tau1^-1', (0, 35): 'tau3^-1*t2', (0, 44): 'tau2*t3', (0, 15): 'tau3*t2^-1', (0, 56): 't3*tau2*t1^-1*tau3^-1*t2', (0, 37): 't2^-1', (2, 83): 'tau1^-1', (0, 49): 'tau2*t3', (0, 58): 't3*tau2', }