U-tiling: UQC5770
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2336 |
*222222 |
(5,7,2) |
{4,4,8,4,4} |
{8.8.8.8}{8.3.3.8}{8.8.3.3.8.8.3... |
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
|
|
sqc1345
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,8} |
6 |
(5,7) |
|
G
|
False
|
|
sqc6765
|
|
C2/c |
15 |
monoclinic |
{4,4,8,4,4} |
12 |
(5,8) |
|
D
|
False
|
|
sqc6764
|
|
Imma |
74 |
orthorhombic |
{4,4,8,4,4} |
12 |
(5,7) |
Topological data
| Vertex degrees | {4,4,8,4,4} |
| 2D vertex symbol | {8.8.8.8}{8.3.3.8}{8.8.3.3.8.8.3.3}{3.3.3.3}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.2:112:29 3 5 7 9 11 13 42 43 17 19 21 23 25 27 56 31 33 35 37 39 41 45 47 49 51 53 55 99 59 61 63 65 67 69 112 85 73 75 77 79 81 83 98 87 89 91 93 95 97 101 103 105 107 109 111,2 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 98 100 102 110 106 109 108 112,57 72 73 6 7 78 79 66 67 40 41 28 85 100 101 20 21 106 107 94 95 54 55 99 86 87 34 35 92 93 108 109 56 71 58 59 48 49 64 65 80 81 62 63 110 111 98 76 77 96 97 112 90 91 104 105:8 3 8 3 3 3 8 3 8 3 3 3,4 4 8 4 4 4 4 8 4 4 4 4> {(0, 56): 't3*tau2*t1^-1*tau3^-1*t2', (2, 63): 't3', (2, 56): 't3*tau2', (2, 57): 't3', (2, 58): 't3', (2, 50): 't3^-1', (0, 41): 't1', (2, 42): 'tau2*t3', (2, 36): 't2^-1', (2, 35): 't2^-1', (2, 28): 'tau3^-1*t2', (0, 27): 't1^-1', (2, 30): 't2^-1', (0, 28): 't1', (2, 21): 't2', (2, 22): 't2', (2, 14): 'tau3*t2^-1', (2, 15): 't2', (2, 8): 't3', (0, 14): 't1^-1', (2, 7): 't3', (2, 1): 't3', (2, 2): 't3', (2, 29): 't2^-1', (2, 111): 'tau1', (0, 111): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 100): 't2^-1', (0, 97): 't2*tau3^-1*t1^-1*tau2*t3', (2, 97): 'tau1^-1', (0, 70): 't3^-1*tau2^-1*t1*tau3*t2^-1'}