U-tiling: UQC5525
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2204 |
*222222 |
(5,7,2) |
{3,4,4,4,4} |
{8.5.8}{8.8.5.5}{5.5.5.5}{8.8.8.... |
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
|
|
sqc1052
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc5919
|
|
C2/c |
15 |
monoclinic |
{3,4,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc5920
|
|
Imma |
74 |
orthorhombic |
{3,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {3,4,4,4,4} |
| 2D vertex symbol | {8.5.8}{8.8.5.5}{5.5.5.5}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<123.2:104:27 3 5 7 60 10 12 39 40 16 18 20 86 23 25 52 29 31 33 99 36 38 42 44 46 73 49 51 92 55 57 59 62 64 104 79 68 70 72 75 77 91 81 83 85 88 90 94 96 98 101 103,2 9 56 6 8 11 13 15 22 82 19 21 24 26 28 35 95 32 34 37 39 41 48 69 45 47 50 52 54 61 58 60 63 65 67 74 71 73 76 78 80 87 84 86 89 91 93 100 97 99 102 104,53 4 5 58 59 73 61 62 37 38 26 79 17 18 84 85 99 87 88 50 51 92 30 31 97 98 86 100 101 52 66 43 44 71 72 60 74 75 56 57 102 103 91 69 70 89 90 104 82 83 95 96:8 5 8 5 5 5 8 8,3 4 4 4 4 3 4 4 4 3 4 3 4 4> {(0, 59): 't3*tau2', (2, 59): 't3', (2, 52): 't3*tau2', (0, 51): 't1', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (0, 46): 'tau2*t3', (2, 39): 'tau2*t3', (0, 38): 't1', (0, 39): 't1', (0, 26): 't1', (0, 33): 'tau3^-1*t2', (2, 26): 'tau3^-1*t2', (1, 94): 't2^-1*tau3', (2, 20): 't2', (0, 20): 'tau3*t2^-1', (2, 33): 't2^-1', (2, 7): 't3', (1, 68): 't3^-1*tau2^-1', (1, 55): 't3*tau2', (2, 103): 'tau1', (0, 103): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 90): 'tau1^-1', (1, 81): 't2*tau3^-1', (2, 78): 't2*tau3^-1', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3', (0, 77): 't3^-1*tau2^-1*t1*tau3*t2^-1'}