U-tiling: UQC468
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc234 |
*2244 |
(2,2,3) |
{16,4} |
{4.3.4.3.4.3.4.3.4.3.4.3.4.3.4.3... |
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) |
|
G
|
False
|
|
sqc5104
|
|
I-42d |
122 |
tetragonal |
{4,16} |
6 |
(2,3) |
|
D
|
False
|
|
sqc709
|
|
P4/mmm |
123 |
tetragonal |
{4,16} |
3 |
(2,2) |
Topological data
| Vertex degrees | {16,4} |
| 2D vertex symbol | {4.3.4.3.4.3.4.3.4.3.4.3.4.3.4.3}{3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.1:96:3 4 11 12 9 10 15 16 29 30 21 22 35 36 27 28 33 34 39 40 47 48 45 46 51 52 59 60 57 58 63 64 77 78 69 70 83 84 75 76 81 82 87 88 95 96 93 94,49 8 39 5 18 55 45 11 24 61 26 21 17 67 32 23 73 33 29 42 79 35 48 85 44 41 91 47 56 87 53 66 93 59 72 74 69 65 80 71 81 77 90 83 96 92 89 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 3 4 4 4 3 3 4 3 3 4 3 3 3,4 16 4 4 4 16> {(1, 44): 't3^-1*tau2^-1*t1', (1, 23): 't1', (1, 79): 't3*tau2*t1^-1', (0, 34): 't3*tau2*t1^-1', (1, 31): 't3*tau2*t1^-1', (0, 83): 't3*tau2*t1^-1', (1, 89): 'tau1^-1', (0, 82): 't3*tau2*t1^-1', (1, 47): 't3^-1*tau2^-1*t3^-1', (0, 35): 't3*tau2*t1^-1', (1, 41): 't3^-1', (1, 92): 't3^-1*tau2^-1*t1', (1, 71): 'tau3^-1', (1, 95): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 65): 't2^-1', }