U-tiling: UQC3453
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc542 |
*22222 |
(3,3,2) |
{4,6,4} |
{5.5.5.5}{5.4.5.5.4.5}{5.4.5.4} |
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
|
False
|
|
sqc1310
|
|
Fmmm |
69 |
orthorhombic |
{6,4,4} |
6 |
(3,3) |
|
G
|
False
|
|
sqc6794
|
|
Fddd |
70 |
orthorhombic |
{4,6,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc72
|
|
Pmmm |
47 |
orthorhombic |
{4,4,6} |
3 |
(3,3) |
Topological data
| Vertex degrees | {4,6,4} |
| 2D vertex symbol | {5.5.5.5}{5.4.5.5.4.5}{5.4.5.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.3:112:57 3 5 7 71 10 12 14 85 17 19 21 99 24 26 28 78 31 33 35 64 38 40 42 106 45 47 49 92 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 87 89 91 94 96 98 101 103 105 108 110 112,2 4 61 20 70 9 11 75 27 84 16 18 89 98 23 25 103 112 30 32 82 48 77 37 39 68 55 63 44 46 110 105 51 53 96 91 58 60 90 65 67 97 72 74 104 79 81 111 86 88 93 95 100 102 107 109,29 9 10 6 7 36 13 14 43 23 24 20 21 50 27 28 37 38 34 35 41 42 51 52 48 49 55 56 78 72 73 62 63 71 79 80 69 70 76 77 83 84 106 100 101 90 91 99 107 108 97 98 104 105 111 112:5 4 5 4 5 5 5 4 5 4 5 5,4 6 4 4 4 4 4 6 4 6 6 4> {(2, 57): 'tau1', (2, 58): 'tau1', (0, 49): 'tau2', (2, 49): 't1', (0, 42): 'tau3^-1', (1, 109): 'tau3', (2, 42): 't1', (1, 110): 't2', (1, 96): 't3', (1, 103): 't2^-1', (1, 102): 'tau3^-1', (1, 89): 't3^-1', (1, 88): 'tau2', (1, 95): 'tau2^-1', (1, 83): 't2^-1', (0, 21): 'tau3', (0, 14): 'tau2^-1', (1, 76): 't2', (1, 69): 't3^-1', (1, 62): 't3', (2, 105): 'tau3*t1*tau2^-1', (2, 106): 't2*tau1*t3^-1', (2, 100): 't2^-1*tau1^-1*t3', (2, 98): 'tau3^-1*t1^-1*tau2', (2, 99): 't2^-1*tau1^-1*t3', (2, 93): 't3*tau1^-1*t2^-1', (2, 78): 'tau1', (2, 79): 'tau1'}