U-tiling: UQC5803
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2341 |
*222222 |
(5,7,2) |
{4,8,4,4,4} |
{4.5.5.4}{4.4.5.5.4.4.5.5}{5.5.5... |
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
|
|
sqc6170
|
|
Pmmm |
47 |
orthorhombic |
{4,7,4,4,4} |
12 |
(5,7) |
|
G
|
False
|
|
sqc6622
|
|
I212121 |
24 |
orthorhombic |
{4,8,4,4,4} |
12 |
(5,8) |
|
D
|
False
|
|
sqc1189
|
|
P222 |
16 |
orthorhombic |
{4,8,4,4,4} |
6 |
(5,7) |
Topological data
| Vertex degrees | {4,8,4,4,4} |
| 2D vertex symbol | {4.5.5.4}{4.4.5.5.4.4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.1:112:15 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 97 112 101 103 105 107 109 111,2 14 6 13 8 10 12 16 28 20 27 22 24 26 30 42 34 41 36 38 40 44 56 48 55 50 52 54 58 70 62 69 64 66 68 72 84 76 83 78 80 82 86 98 90 97 92 94 96 100 112 104 111 106 108 110,29 4 5 34 35 64 65 24 25 40 41 70 43 18 19 48 49 78 79 54 55 84 32 33 92 93 52 53 98 46 47 106 107 112 85 60 61 90 91 80 81 96 97 99 74 75 104 105 110 111 88 89 108 109 102 103:4 5 5 4 5 5 4 5 5 4 5 5,4 8 4 4 4 4 8 4 4 4 4 4> {(0, 56): 't2^-1*tau3', (2, 52): 'tau2^-1*t3^-1', (2, 53): 'tau2^-1*t1', (2, 54): 'tau2^-1*t1', (2, 55): 't3*tau1^-1*t2^-1*tau3*t1', (2, 51): 'tau2^-1*t3^-1', (2, 40): 't3', (2, 41): 't3*tau1^-1', (2, 39): 't3', (2, 24): 't1^-1', (2, 27): 'tau3', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 13): 't2', (2, 108): 'tau2^-1*t3^-1', (2, 109): 'tau2^-1*t3^-1*tau1*t2', (2, 104): 't1^-1', (0, 111): 't1^-1*tau3^-1*t2', (2, 107): 'tau2^-1*t3^-1', (0, 98): 't1^-1*tau3^-1*t2', (2, 103): 't1^-1', (2, 96): 'tau1*t2', (2, 98): 't1^-1', (2, 95): 'tau1*t2', (0, 83): 'tau3^-1*t2', (2, 82): 't2^-1*tau1^-1*t3*tau2'}