U-tiling: UQC5407
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc261 |
*488 |
(3,3,2) |
{3,8,8} |
{8.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5... |
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
|
|
sqc4231
|
|
P-4m2 |
115 |
tetragonal |
{3,3,8,6,6} |
11 |
(5,5) |
|
G
|
False
|
|
sqc4924
|
|
I-42m |
121 |
tetragonal |
{3,8,8} |
11 |
(3,4) |
|
D
|
False
|
|
sqc4957
|
|
I-4m2 |
119 |
tetragonal |
{3,3,8,8,8} |
11 |
(5,5) |
Topological data
| Vertex degrees | {3,3,8,8,8} |
| 2D vertex symbol | {8.5.5}{8.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:96:2 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 96,13 26 5 12 7 9 11 38 17 24 19 21 23 49 29 36 31 33 35 61 41 48 43 45 47 74 53 60 55 57 59 86 65 72 67 69 71 85 77 84 79 81 83 89 96 91 93 95,3 4 17 18 31 32 81 82 35 36 15 16 43 44 93 94 47 48 27 28 53 54 45 46 39 40 65 66 51 52 79 80 69 70 83 84 63 64 91 92 95 96 75 76 89 90 87 88:8 5 5 5 5 5 5 5 5,3 3 8 8 8 3 3 3 3 3 3> {(2, 58): 't3', (2, 59): 't3', (2, 54): 'tau1', (2, 55): 'tau1', (2, 46): 't1', (2, 47): 't1', (2, 40): 't1*tau2^-1*t3^-1', (2, 41): 't1*tau2^-1*t3^-1', (2, 42): 'tau3^-1', (2, 43): 'tau3^-1', (2, 30): 't2^-1', (2, 31): 't2^-1', (2, 20): 't1^-1*tau2*t3', (2, 21): 't1^-1*tau2*t3', (1, 85): 't3^-1*tau2^-1*t3^-1', (1, 73): 't3^-1', (1, 60): 't3*tau2*t1^-1', (1, 37): 't1', (2, 94): 't3^-1*tau2^-1*t3^-1', (2, 95): 't3^-1*tau2^-1*t3^-1', (2, 90): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 91): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1'}