U-tiling: UQC205
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc207 |
*22222 |
(2,4,2) |
{4,4} |
{4.8.8.4}{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
|
|
sqc476
|
|
P4/mmm |
123 |
tetragonal |
{3,4} |
6 |
(2,3) |
|
G
|
False
|
|
sqc5276
|
|
I4122 |
98 |
tetragonal |
{4,4} |
12 |
(2,4) |
|
D
|
False
|
|
sqc854
|
|
P4222 |
93 |
tetragonal |
{4,4} |
6 |
(2,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.8.8.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.5:96:13 3 28 29 60 19 9 34 35 48 15 40 41 72 21 52 53 66 37 27 84 49 33 78 39 96 61 45 76 77 51 90 67 57 82 83 63 88 89 69 94 95 85 75 91 81 87 93,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96,7 14 15 5 18 20 21 11 24 19 17 23 43 38 39 29 42 55 50 51 35 54 61 41 62 63 47 66 67 53 68 69 59 72 65 71 79 86 87 77 90 92 93 83 96 91 89 95:8 4 8 4 4 4 8 8,4 4 4 4 4 4 4 4 4 4 4 4> {(0, 93): 't1^-1', (2, 86): 't1*tau3*t2^-1', (2, 91): 'tau2^-1*t3^-1', (2, 53): 'tau3*t2^-1', (0, 60): 'tau2*t3', (0, 18): 't1', (2, 89): 't1*tau3*t2^-1', (2, 14): 't1^-1', (0, 53): 't1^-1', (2, 18): 't1', (2, 92): 'tau2^-1*t3^-1', (2, 49): 'tau3*t2^-1', (2, 38): 'tau2^-1*t3^-1', (0, 22): 't1', (2, 41): 'tau2^-1*t3^-1', (2, 72): 'tau1^-1', (0, 17): 't1^-1', (0, 90): 't1^-1*tau3^-1*t2', (2, 54): 't2^-1', (2, 85): 't1*tau3*t2^-1', (2, 90): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 21): 't1', (0, 94): 't1^-1', (2, 13): 't1^-1', (2, 50): 'tau3*t2^-1', (2, 17): 't1^-1', (0, 54): 't2^-1*tau3', (2, 37): 'tau2^-1*t3^-1', (2, 42): 't3^-1', (2, 95): 'tau2^-1*t3^-1', (0, 72): 't3^-1*tau2^-1', (2, 48): 'tau3', (2, 60): 'tau2', }