U-tiling: UQC2788
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2153 |
*222222 |
(2,6,5) |
{4,5} |
{4.8.6.4}{6.8.4.4.8} |
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
|
|
sqc5531
|
bbc
|
P4/mmm |
123 |
tetragonal |
{4,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc5854
|
|
I212121 |
24 |
orthorhombic |
{5,4,4} |
12 |
(3,7) |
|
D
|
False
|
|
sqc1105
|
|
P222 |
16 |
orthorhombic |
{4,5} |
6 |
(2,6) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.8.6.4}{6.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.1:104:27 54 55 6 7 21 22 36 37 64 65 40 67 68 19 20 49 50 77 78 80 81 32 33 47 48 90 91 93 94 45 46 103 104 79 58 59 73 74 88 89 92 71 72 101 102 84 85 99 100 97 98,2 4 18 8 13 10 12 15 17 21 26 23 25 28 30 44 34 39 36 38 41 43 47 52 49 51 54 56 70 60 65 62 64 67 69 73 78 75 77 80 82 96 86 91 88 90 93 95 99 104 101 103,14 3 5 7 9 11 13 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 66 55 57 59 61 63 65 68 70 72 74 76 78 92 81 83 85 87 89 91 94 96 98 100 102 104:4 8 6 4 4 4 4 8 6 4,5 4 4 5 4 4 5 4 4 5 4 4> {(0, 51): 't3*tau1^-1*t2^-1*tau3*t1', (0, 62): 't2^-1*tau1^-1', (0, 12): 't2', (0, 100): 'tau2^-1*t3^-1*tau1*t2', (1, 95): 't1^-1*tau3^-1*t2', (0, 48): 'tau2^-1*t1', (0, 38): 't3*tau1^-1', (0, 23): 't1^-1*tau2', (0, 35): 't3', (0, 101): 'tau2^-1*t3^-1*tau1*t2', (0, 46): 'tau2^-1*t3^-1', (2, 78): 't2^-1*tau3*t1', (0, 20): 't1^-1', (0, 98): 'tau2^-1*t3^-1', (0, 47): 'tau2^-1*t3^-1', (0, 24): 'tau3', (0, 14): 't1^-1', (0, 36): 't3', (0, 61): 't2^-1*tau1^-1', (0, 50): 't3*tau1^-1*t2^-1*tau3*t1', (0, 21): 't1^-1', (2, 52): 't2^-1*tau3', (0, 11): 't2', (1, 69): 'tau3^-1*t2', (0, 99): 'tau2^-1*t3^-1', (0, 25): 'tau3', (0, 15): 't1^-1', (0, 37): 't3*tau1^-1', (0, 91): 't1^-1', }