U-tiling: UQC5258
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1562 |
*4444 |
(5,4,2) |
{4,4,12,4,4} |
{4.4.4.4}{4.6.6.4}{4.6.6.4.6.6.4... |
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
|
|
sqc2226
|
|
P-4m2 |
115 |
tetragonal |
{4,4,10,4} |
7 |
(4,4) |
|
G
|
False
|
|
sqc3319
|
|
I-4 |
82 |
tetragonal |
{4,4,12,4,4} |
8 |
(5,5) |
|
D
|
False
|
|
sqc3444
|
|
I4/mmm |
139 |
tetragonal |
{4,4,12,4} |
8 |
(4,3) |
Topological data
| Vertex degrees | {4,4,12,4,4} |
| 2D vertex symbol | {4.4.4.4}{4.6.6.4}{4.6.6.4.6.6.4.6.6.4.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.2:80:2 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 80,21 3 24 7 9 28 30 31 13 34 17 19 38 40 23 27 29 33 37 39 61 43 64 47 49 68 70 71 53 74 57 59 78 80 63 67 69 73 77 79,11 12 5 6 17 18 69 70 15 16 79 80 41 42 25 26 47 48 39 40 51 52 35 36 57 58 45 46 59 60 55 56 71 72 65 66 77 78 75 76:4 6 4 6 4 6 4 6,4 4 12 4 4 4 4 4> {(1, 27): 't2^-1', (2, 56): 't3*tau2*t1^-1', (2, 57): 't3*tau2*t1^-1', (1, 63): 't3^-1', (1, 37): 'tau3^-1', (1, 39): 'tau3^-1', (2, 18): 't1^-1*tau2*t3', (2, 19): 't1^-1*tau2*t3', (1, 73): 't3^-1*tau2^-1*t3^-1', (1, 10): 't1^-1', (1, 77): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 50): 't3*tau2*t1^-1', (1, 79): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 33): 't1', (1, 29): 't2^-1', (1, 67): 'tau1^-1', (2, 51): 't3*tau2*t1^-1', (1, 69): 'tau1^-1', (1, 60): 't3^-1', (1, 70): 't3^-1*tau2^-1*t3^-1'}