U-tiling: UQC5533
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2206 |
*222222 |
(5,7,2) |
{4,4,4,3,4} |
{7.7.7.7}{7.7.7.7}{7.6.6.7}{7.6.... |
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) |
G
|
False
|
|
sqc5915
|
|
C2/c |
15 |
monoclinic |
{4,4,4,3,4} |
14 |
(5,8) |
D
|
False
|
|
sqc5916
|
|
Imma |
74 |
orthorhombic |
{4,4,4,3,4} |
14 |
(5,7) |
Topological data
Vertex degrees | {4,4,4,3,4} |
2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.6.6.7}{7.6.6}{6.6.6.6} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<125.3:104:53 3 5 7 9 23 12 26 79 16 18 20 22 25 92 29 31 33 35 49 38 52 66 42 44 46 48 51 55 57 59 61 88 64 91 68 70 72 74 101 77 104 81 83 85 87 90 94 96 98 100 103,2 4 6 59 10 11 13 15 17 19 85 23 24 26 28 30 32 98 36 37 39 41 43 45 72 49 50 52 54 56 58 62 63 65 67 69 71 75 76 78 80 82 84 88 89 91 93 95 97 101 102 104,66 54 55 30 31 8 9 36 63 64 39 92 80 81 43 44 21 22 49 89 90 52 79 93 94 34 35 102 103 53 67 68 47 48 76 77 95 96 60 61 101 104 82 83 73 74 88 91 86 87 99 100:7 6 7 7 6 7 6 6,4 4 4 3 4 4 4 4 3 4 3 3 4 4> {(2, 62): 't3*tau2', (2, 63): 't3*tau2', (0, 61): 'tau1', (2, 52): 't3', (2, 49): 'tau2*t3', (2, 50): 'tau2*t3', (2, 51): 't1', (1, 97): 't2^-1*tau3', (2, 36): 'tau3^-1*t2', (2, 37): 'tau3^-1*t2', (2, 38): 't1', (0, 39): 'tau2*t3', (0, 26): 'tau3^-1*t2', (2, 24): 'tau3*t2^-1', (2, 26): 't2^-1', (2, 23): 'tau3*t2^-1', (1, 84): 't2*tau3^-1', (2, 13): 't2', (0, 13): 'tau3*t2^-1', (0, 0): 'tau2^-1*t3^-1', (2, 0): 't3', (1, 71): 't3^-1*tau2^-1', (1, 58): 't3*tau2', (2, 103): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 103): 'tau1', (0, 90): 'tau1^-1', (2, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 74): 'tau1^-1'}