U-tiling: UQC5518
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2202 |
*222222 |
(5,7,2) |
{4,4,3,4,4} |
{5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8.... |
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
|
True
|
|
sqc5514
|
|
Pmmm |
47 |
orthorhombic |
{3,4,3,4,3} |
14 |
(5,7) |
G
|
False
|
|
sqc5888
|
|
I212121 |
24 |
orthorhombic |
{4,4,3,4,4} |
14 |
(5,8) |
D
|
False
|
|
sqc1058
|
|
P222 |
16 |
orthorhombic |
{4,3,4,4,4} |
7 |
(5,7) |
Topological data
Vertex degrees | {4,4,3,4,4} |
2D vertex symbol | {5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8.8}{8.8.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<121.1:104:14 3 5 7 21 10 12 26 16 18 20 23 25 40 29 31 33 47 36 38 52 42 44 46 49 51 66 55 57 59 73 62 64 78 68 70 72 75 77 92 81 83 85 99 88 90 104 94 96 98 101 103,2 4 18 8 9 11 13 15 17 21 22 24 26 28 30 44 34 35 37 39 41 43 47 48 50 52 54 56 70 60 61 63 65 67 69 73 74 76 78 80 82 96 86 87 89 91 93 95 99 100 102 104,27 54 55 6 7 60 22 23 63 64 39 40 67 68 19 20 73 76 77 52 80 81 32 33 86 48 49 89 90 93 94 45 46 99 102 103 79 58 59 74 75 91 92 71 72 104 84 85 100 101 97 98:5 8 5 8 5 8 5 8,4 4 3 4 4 4 4 4 4 3 4 4 3 3> {(2, 60): 't2^-1*tau3', (2, 61): 't2^-1*tau3', (2, 62): 't2^-1', (2, 63): 't2^-1', (0, 51): 'tau2^-1*t3^-1', (2, 49): 't3*tau1^-1*t2^-1*tau3*t1', (2, 50): 't3*tau1^-1*t2^-1*tau3*t1', (2, 51): 'tau2^-1*t1', (2, 100): 't1^-1*tau3^-1*t2', (0, 46): 'tau2^-1*t3^-1', (2, 36): 't3*tau1^-1', (2, 37): 't3*tau1^-1', (2, 38): 't3', (0, 25): 't1^-1', (2, 24): 'tau3', (1, 95): 't1^-1*tau3^-1*t2', (2, 20): 't1^-1', (2, 23): 'tau3', (0, 20): 't1^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (1, 69): 'tau3^-1*t2', (0, 52): 't2^-1*tau3', (0, 98): 'tau2^-1*t3^-1', (2, 103): 'tau2^-1*t3^-1*tau1*t2', (0, 103): 'tau2^-1*t3^-1', (2, 99): 't1^-1*tau3^-1*t2', (2, 90): 'tau1*t2', (2, 91): 't1^-1', (0, 78): 't2^-1*tau3*t1'}