U-tiling: UQC5657
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2240 |
*222222 |
(5,6,2) |
{4,8,3,4,4} |
{10.10.10.10}{10.4.4.10.10.4.4.1... |
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
|
|
sqc1095
|
|
Pmmm |
47 |
orthorhombic |
{4,8,3,4,4} |
6 |
(5,6) |
|
G
|
False
|
|
sqc5964
|
|
C2/c |
15 |
monoclinic |
{4,8,3,4,4} |
12 |
(5,7) |
|
D
|
False
|
|
sqc5932
|
|
Imma |
74 |
orthorhombic |
{4,8,3,4,4} |
12 |
(5,6) |
Topological data
| Vertex degrees | {4,8,3,4,4} |
| 2D vertex symbol | {10.10.10.10}{10.4.4.10.10.4.4.10}{10.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.3:104:53 3 5 7 9 11 13 79 16 18 20 22 24 26 92 29 31 33 35 37 39 66 42 44 46 48 50 52 55 57 59 61 63 65 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104,2 4 31 8 13 10 12 15 17 44 21 26 23 25 28 30 34 39 36 38 41 43 47 52 49 51 54 56 96 60 65 62 64 67 69 83 73 78 75 77 80 82 86 91 88 90 93 95 99 104 101 103,66 54 55 6 7 34 35 23 24 38 39 92 80 81 19 20 47 48 51 52 79 93 94 32 33 49 50 53 67 68 45 46 58 59 99 100 88 89 103 104 71 72 86 87 101 102 90 91 84 85 97 98:10 4 10 4 4 4 4 4 4 4,4 8 3 4 4 4 8 3 3 4 4 3> {(2, 61): 'tau1', (2, 62): 'tau1', (2, 63): 't3*tau2*t1^-1*tau3^-1*t2', (2, 52): 't3', (2, 50): 't1', (2, 51): 't1', (2, 37): 't1', (2, 38): 't1', (0, 39): 'tau2*t3', (0, 26): 'tau3^-1*t2', (2, 26): 't2^-1', (1, 82): 't2*tau3^-1*t1^-1*tau2*t3', (2, 13): 't2', (0, 13): 'tau3*t2^-1', (0, 0): 'tau2^-1*t3^-1', (2, 0): 't3', (1, 56): 't3*tau2*t1^-1*tau3^-1*t2', (1, 43): 't1', (2, 100): 'tau1', (2, 101): 'tau1', (2, 103): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 89): 't2*tau3^-1*t1^-1*tau2*t3', (2, 90): 't2*tau3^-1*t1^-1*tau2*t3', (1, 30): 't1'}