U-tiling: UQC3022
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1966 |
*4444 |
(2,5,6) |
{8,4} |
{4.8.4.3.4.3.4.8}{4.4.4.3} |
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
|
|
sqc4799
|
|
P-4m2 |
115 |
tetragonal |
{4,8} |
8 |
(2,5) |
|
G
|
False
|
|
sqc4798
|
|
I-4 |
82 |
tetragonal |
{4,8} |
8 |
(2,6) |
|
D
|
False
|
|
sqc4793
|
|
I-4m2 |
119 |
tetragonal |
{4,8} |
8 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.8.4.3.4.3.4.8}{4.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.1:96:25 26 5 6 31 32 81 82 23 24 37 38 17 18 43 44 93 94 29 30 45 46 59 60 41 42 71 72 73 74 53 54 79 80 69 70 85 86 65 66 91 92 77 78 95 96 89 90,13 3 16 7 11 9 34 36 15 19 23 21 46 48 49 27 52 31 35 33 61 39 64 43 47 45 51 55 59 57 82 84 63 67 71 69 94 96 85 75 88 79 83 81 87 91 95 93,2 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 8 4 4 4 3 3 4 4 3,4 8 8 4 4 8 8 4> {(1, 57): 't3', (0, 55): 'tau1', (1, 83): 't3^-1', (1, 60): 't3*tau2*t1^-1', (1, 95): 't3^-1*tau2^-1*t3^-1', (0, 48): 'tau1', (1, 45): 't1', (0, 30): 't2^-1', (0, 42): 'tau3^-1', (0, 46): 't1*tau2^-1*t3^-1', (0, 49): 'tau1', (1, 63): 't3*tau2*t1^-1', (0, 60): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 31): 't2^-1', (0, 43): 'tau3^-1', (0, 20): 't1^-1*tau2*t3', (0, 47): 't1*tau2^-1*t3^-1', (0, 24): 't2^-1', (0, 36): 'tau3^-1', (0, 90): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 61): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 21): 't1^-1*tau2*t3', (1, 47): 't1', (1, 69): 't3*tau2*t3', (0, 54): 'tau1', (0, 25): 't2^-1', (0, 37): 'tau3^-1', (0, 91): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', }