U-tiling: UQC5787
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2338 |
*222222 |
(5,7,2) |
{4,4,8,4,4} |
{6.6.6.6}{6.4.4.6}{6.6.4.4.6.6.4... |
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
|
|
sqc5812
|
|
Pmmm |
47 |
orthorhombic |
{3,4,7,4,4} |
12 |
(5,7) |
|
G
|
False
|
|
sqc6621
|
|
I212121 |
24 |
orthorhombic |
{4,4,8,4,4} |
12 |
(5,8) |
|
D
|
False
|
|
sqc1193
|
|
P222 |
16 |
orthorhombic |
{4,4,4,8,4} |
6 |
(5,7) |
Topological data
| Vertex degrees | {4,4,8,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.4.4.6}{6.6.4.4.6.6.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.1:112:15 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 4 14 8 13 10 12 16 18 28 22 27 24 26 30 32 42 36 41 38 40 44 46 56 50 55 52 54 58 60 70 64 69 66 68 72 74 84 78 83 80 82 86 88 98 92 97 94 96 100 102 112 106 111 108 110,29 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 91 108 109 104 105:6 4 4 6 4 4 6 4 4 6 4 4,4 4 8 4 4 4 4 8 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, 16): 't1^-1', (2, 13): 't2', (2, 15): 't1^-1', (2, 108): 'tau2^-1*t3^-1', (2, 109): 'tau2^-1*t3^-1*tau1*t2', (0, 111): 't1^-1*tau3^-1*t2', (2, 107): 'tau2^-1*t3^-1', (0, 98): 't1^-1*tau3^-1*t2', (2, 96): 'tau1*t2', (2, 98): 't1^-1', (2, 95): 'tau1*t2', (2, 82): 't2^-1*tau1^-1*t3*tau2', (0, 69): 't2^-1*tau3'}