U-tiling: UQC5204
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2048 |
*222222 |
(4,6,2) |
{4,8,4,4} |
{8.4.4.8}{8.8.4.4.8.8.4.4}{4.4.4... |
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
|
True
|
|
sqc4726
|
|
Pmmm |
47 |
orthorhombic |
{4,7,4,4} |
10 |
(4,6) |
|
G
|
False
|
|
sqc5212
|
|
I212121 |
24 |
orthorhombic |
{4,8,4,4} |
10 |
(4,7) |
|
D
|
False
|
|
sqc786
|
|
P222 |
16 |
orthorhombic |
{4,4,8,4} |
5 |
(4,6) |
Topological data
| Vertex degrees | {4,8,4,4} |
| 2D vertex symbol | {8.4.4.8}{8.8.4.4.8.8.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.1:96:13 3 5 7 9 11 60 15 17 19 21 23 72 37 27 29 31 33 35 84 39 41 43 45 47 96 61 51 53 55 57 59 63 65 67 69 71 85 75 77 79 81 83 87 89 91 93 95,2 12 6 11 8 10 14 24 18 23 20 22 26 36 30 35 32 34 38 48 42 47 44 46 50 60 54 59 56 58 62 72 66 71 68 70 74 84 78 83 80 82 86 96 90 95 92 94,25 4 5 30 31 56 57 22 23 36 37 16 17 42 43 68 69 48 28 29 80 81 46 47 40 41 92 93 73 52 53 78 79 70 71 84 85 64 65 90 91 96 76 77 94 95 88 89:8 4 4 8 4 4 4 4 4 4,4 8 4 4 4 4 4 4 8 4> {(2, 60): 't1', (0, 59): 't2^-1', (2, 94): 'tau2^-1*t3^-1', (2, 95): 'tau2^-1*t3^-1*tau1*t2', (0, 95): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 60): 'tau3^-1*t2', (2, 59): 't2^-1*tau1^-1', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (0, 84): 't1^-1*tau3^-1*t2', (2, 19): 't1^-1', (2, 45): 'tau2^-1*t3^-1', (2, 46): 'tau2^-1*t3^-1', (2, 47): 'tau2^-1*t1', (2, 11): 't3^-1', (0, 35): 't3*tau1^-1', (2, 90): 't1^-1', (2, 93): 'tau2^-1*t3^-1', (0, 71): 'tau3^-1', (2, 89): 't1^-1'}