U-tiling: UQC5581
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2221 |
*222222 |
(5,6,2) |
{8,6,4,4,4} |
{3.5.5.3.3.5.5.3}{3.5.5.3.5.5}{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
|
False
|
|
sqc1088
|
|
Pmmm |
47 |
orthorhombic |
{4,8,6,4,4} |
5 |
(5,6) |
|
G
|
False
|
|
sqc5646
|
|
C2/c |
15 |
monoclinic |
{8,6,4,4,4} |
10 |
(5,7) |
|
D
|
False
|
|
sqc5647
|
|
Imma |
74 |
orthorhombic |
{8,6,4,4,4} |
10 |
(5,6) |
Topological data
| Vertex degrees | {8,6,4,4,4} |
| 2D vertex symbol | {3.5.5.3.3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.3:104:53 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 55 6 13 8 10 12 15 81 19 26 21 23 25 28 94 32 39 34 36 38 41 68 45 52 47 49 51 54 58 65 60 62 64 67 71 78 73 75 77 80 84 91 86 88 90 93 97 104 99 101 103,66 4 5 58 59 34 35 23 24 38 39 92 17 18 84 85 47 48 51 52 79 30 31 97 98 49 50 53 43 44 71 72 56 57 99 100 88 89 103 104 69 70 86 87 101 102 90 91 82 83 95 96:3 5 3 5 3 5 3 5 5 5 5 5,8 6 4 4 4 8 6 4 4 4> {(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', (1, 93): 't2^-1*tau3', (2, 26): 't2^-1', (1, 80): 't2*tau3^-1', (2, 13): 't2', (0, 13): 'tau3*t2^-1', (0, 0): 'tau2^-1*t3^-1', (2, 0): 't3', (1, 54): 't3*tau2', (1, 41): 'tau2*t3', (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', (2, 74): 'tau1^-1'}