U-tiling: UQC3023
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
|
True
|
|
sqc4377
|
|
P-4m2 |
115 |
tetragonal |
{4,7} |
8 |
(2,5) |
|
G
|
False
|
|
sqc5087
|
|
I-4 |
82 |
tetragonal |
{4,8} |
8 |
(2,6) |
|
D
|
False
|
|
sqc5018
|
|
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
<36.2:96:13 14 5 6 19 20 33 34 35 36 17 18 45 46 47 48 49 50 29 30 55 56 61 62 41 42 67 68 53 54 81 82 83 84 65 66 93 94 95 96 85 86 77 78 91 92 89 90,25 3 28 7 11 9 82 84 37 15 40 19 23 21 94 96 27 31 35 33 46 48 39 43 47 45 73 51 76 55 59 57 70 72 85 63 88 67 71 69 75 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 3 4 4 3 3 4,4 8 4 8 8 4 8 4> {(1, 21): 't1^-1*tau2*t3', (1, 87): 't3^-1*tau2^-1*t3^-1', (0, 95): 't3^-1*tau2^-1*t3^-1', (0, 45): 'tau3^-1', (0, 59): 't3', (0, 92): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 36): 't1', (0, 42): 't1*tau2^-1*t3^-1', (1, 72): 't3^-1', (0, 56): 'tau1', (0, 46): 't1', (0, 93): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 60): 't3*tau2*t1^-1', (1, 23): 't1^-1*tau2*t3', (0, 43): 't1*tau2^-1*t3^-1', (0, 32): 't2^-1', (0, 57): 'tau1', (1, 39): 't1', (0, 47): 't1', (1, 75): 't3^-1', (1, 84): 't3^-1*tau2^-1*t3^-1', (0, 61): 't3*tau2*t1^-1', (0, 94): 't3^-1*tau2^-1*t3^-1', (0, 33): 't2^-1', (0, 44): 'tau3^-1', (0, 58): 't3', }