U-tiling: UQC3018
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1964 |
*4444 |
(2,5,6) |
{8,4} |
{4.8.3.4.4.4.3.8}{3.4.4.4} |
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
|
False
|
|
sqc5207
|
|
P4/mmm |
123 |
tetragonal |
{4,8} |
8 |
(2,5) |
|
G
|
False
|
|
sqc5206
|
|
I-4 |
82 |
tetragonal |
{4,8} |
8 |
(2,6) |
|
D
|
False
|
|
sqc4791
|
|
I-4m2 |
119 |
tetragonal |
{4,8} |
8 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.8.3.4.4.4.3.8}{3.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.2:96:13 14 5 6 19 20 33 34 83 84 17 18 45 46 95 96 49 50 29 30 55 56 47 48 61 62 41 42 67 68 53 54 81 82 71 72 65 66 93 94 85 86 77 78 91 92 89 90,25 3 28 7 9 32 11 36 37 15 40 19 21 44 23 48 27 31 33 35 39 43 45 47 73 51 76 55 57 80 59 84 85 63 88 67 69 92 71 96 75 79 81 83 87 91 93 95,2 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 96:4 4 3 4 8 4 3 4 4 3 3 4,4 8 4 8 4 8 4 8> {(1, 87): 't3^-1*tau2^-1*t3^-1', (0, 45): 't1', (0, 22): 't1^-1*tau2*t3', (1, 95): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 92): 't3^-1*tau2^-1*t3^-1', (1, 91): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 36): 't1', (0, 42): 't1*tau2^-1*t3^-1', (0, 23): 't1^-1*tau2*t3', (1, 72): 't3^-1', (0, 56): 't3', (0, 93): 't3^-1*tau2^-1*t3^-1', (0, 60): 't3*tau2*t1^-1', (1, 59): 'tau1', (0, 43): 't1*tau2^-1*t3^-1', (1, 79): 'tau1^-1', (0, 57): 't3', (1, 39): 't1', (1, 75): 't3^-1', (1, 84): 't3^-1*tau2^-1*t3^-1', (0, 61): 't3*tau2*t1^-1', (1, 35): 't2^-1', (1, 47): 'tau3^-1', (0, 44): 't1', (1, 7): 't2', (1, 43): 'tau3^-1', }