U-tiling: UQC5513
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2201 |
*222222 |
(5,7,2) |
{4,3,4,4,4} |
{3.10.10.3}{3.10.10}{10.10.10.10... |
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
|
|
sqc1054
|
|
Pmmm |
47 |
orthorhombic |
{4,3,4,4,4} |
7 |
(5,7) |
G
|
False
|
|
sqc6077
|
|
C2/c |
15 |
monoclinic |
{4,3,4,4,4} |
14 |
(5,8) |
D
|
False
|
|
sqc6076
|
|
Imma |
74 |
orthorhombic |
{4,3,4,4,4} |
14 |
(5,7) |
Topological data
Vertex degrees | {4,3,4,4,4} |
2D vertex symbol | {3.10.10.3}{3.10.10}{10.10.10.10}{10.10.10.10}{10.10.10.10} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<120.2:104:27 3 5 7 60 10 12 65 40 16 18 20 86 23 25 91 29 31 33 99 36 38 104 42 44 46 73 49 51 78 92 55 57 59 62 64 79 68 70 72 75 77 81 83 85 88 90 94 96 98 101 103,2 29 6 9 8 11 13 15 42 19 22 21 24 26 28 32 35 34 37 39 41 45 48 47 50 52 54 94 58 61 60 63 65 67 81 71 74 73 76 78 80 84 87 86 89 91 93 97 100 99 102 104,53 4 5 58 59 73 35 36 24 25 39 79 17 18 84 85 99 48 49 52 92 30 31 97 98 86 50 51 66 43 44 71 72 60 56 57 100 101 89 90 104 69 70 87 88 102 103 91 82 83 95 96:3 10 3 10 10 10 3 3,4 3 4 4 4 4 3 4 4 4 3 4 4 3> {(2, 60): 't3*tau2*t1^-1*tau3^-1*t2', (2, 61): 't3*tau2*t1^-1*tau3^-1*t2', (2, 62): 'tau1', (2, 63): 'tau1', (2, 57): 't3*tau2', (2, 58): 't3*tau2', (2, 59): 't3', (2, 52): 't3*tau2', (2, 48): 't1', (0, 52): 't3*tau2*t1^-1*tau3^-1*t2', (2, 44): 'tau2*t3', (2, 45): 'tau2*t3', (2, 47): 't1', (2, 39): 'tau2*t3', (2, 32): 'tau3^-1*t2', (2, 33): 't2^-1', (2, 34): 't1', (2, 35): 't1', (0, 26): 't1', (2, 31): 'tau3^-1*t2', (1, 93): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 26): 'tau3^-1*t2', (2, 20): 't2', (2, 18): 'tau3*t2^-1', (2, 19): 'tau3*t2^-1', (2, 13): 'tau3*t2^-1', (0, 13): 't1^-1', (1, 67): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 7): 't3', (2, 102): 'tau1', (1, 28): 't1', (2, 86): 't2*tau3^-1*t1^-1*tau2*t3', (2, 87): 't2*tau3^-1*t1^-1*tau2*t3', (0, 78): 't2*tau3^-1*t1^-1*tau2*t3', (1, 15): 't1^-1', (2, 75): 'tau1^-1'}