U-tiling: UQC5541
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2208 |
*222222 |
(5,7,2) |
{4,4,4,4,3} |
{9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.... |
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
|
|
sqc14556
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,3,4} |
7 |
(5,7) |
G
|
False
|
|
sqc6091
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,3} |
14 |
(5,8) |
D
|
False
|
|
sqc6066
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,3} |
14 |
(5,7) |
Topological data
Vertex degrees | {4,4,4,4,3} |
2D vertex symbol | {9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.4.9}{9.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<127.3:104:53 3 5 7 9 11 38 39 79 16 18 20 22 24 51 52 92 29 31 33 35 37 66 42 44 46 48 50 55 57 59 61 63 103 104 68 70 72 74 76 90 91 81 83 85 87 89 94 96 98 100 102,2 4 6 8 61 12 13 15 17 19 21 87 25 26 28 30 32 34 100 38 39 41 43 45 47 74 51 52 54 56 58 60 64 65 67 69 71 73 77 78 80 82 84 86 90 91 93 95 97 99 103 104,66 54 55 30 31 19 20 10 11 25 65 92 80 81 43 44 23 24 91 79 93 94 45 46 36 37 51 104 53 67 68 49 50 78 95 96 84 85 62 63 90 82 83 97 98 75 76 103 88 89 101 102:9 4 9 4 9 9 4 4,4 4 4 4 3 4 4 3 4 3 3 4 4 4> {(2, 63): 'tau1', (0, 63): 't3*tau2*t1^-1*tau3^-1*t2', (2, 58): 'tau1', (2, 52): 't3', (0, 51): 't1', (0, 52): 't3*tau2', (2, 51): 'tau2*t3', (1, 99): 't2^-1*tau3', (2, 38): 'tau3^-1*t2', (0, 38): 't1', (0, 39): 'tau2*t3', (2, 57): 'tau1', (0, 26): 'tau3^-1*t2', (1, 73): 't3^-1*tau2^-1', (0, 24): 't1^-1', (2, 25): 'tau3*t2^-1', (2, 26): 't2^-1', (0, 11): 't1^-1', (1, 86): 't2*tau3^-1', (2, 12): 'tau2^-1*t3^-1', (2, 13): 't2', (0, 13): 'tau3*t2^-1', (2, 0): 't3', (1, 60): 't3*tau2', (2, 102): 'tau1', (2, 96): 'tau1', (2, 97): 'tau1', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 89): 't2*tau3^-1*t1^-1*tau2*t3', (0, 64): 't3*tau2*t1^-1*tau3^-1*t2'}