U-tiling: UQC2418
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1334 |
*4444 |
(2,4,5) |
{6,4} |
{4.8.4.8.4.8}{4.4.4.8} |
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
|
|
sqc2997
|
|
P-4m2 |
115 |
tetragonal |
{4,5} |
8 |
(2,4) |
|
G
|
False
|
|
sqc3578
|
|
I-4 |
82 |
tetragonal |
{4,6} |
8 |
(2,5) |
|
D
|
False
|
|
sqc3738
|
|
I-4m2 |
119 |
tetragonal |
{4,6} |
8 |
(2,4) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.8.4.8.4.8}{4.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.2:80:11 12 5 6 17 18 29 30 15 16 39 40 41 42 25 26 47 48 51 52 35 36 57 58 45 46 69 70 55 56 79 80 71 72 65 66 77 78 75 76,21 3 24 7 66 9 70 31 13 34 17 76 19 80 23 27 36 29 40 33 37 39 61 43 64 47 56 49 60 71 53 74 57 59 63 67 69 73 77 79,2 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 80:4 4 8 8 4 4 4 4,4 6 4 6 6 4 6 4> {(0, 39): 'tau3^-1', (0, 48): 'tau1', (0, 29): 't2^-1', (0, 38): 'tau3^-1', (0, 51): 't3*tau2*t1^-1', (0, 28): 't2^-1', (0, 50): 't3*tau2*t1^-1', (1, 63): 't3^-1', (1, 60): 't3^-1', (1, 79): 't3^-1*tau2^-1*t1', (1, 70): 't3^-1*tau2^-1*t3^-1', (1, 73): 't3^-1*tau2^-1*t3^-1', (0, 57): 't3*tau2*t1^-1', (1, 10): 't1^-1', (0, 56): 't3*tau2*t1^-1', (1, 75): 't3^-1*tau2^-1*t1', (0, 59): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (1, 33): 't1', (0, 49): 'tau1', (0, 58): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', }