U-tiling: UQC467
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) |
|
P
|
True
|
|
sqc246
|
|
P4/mmm |
123 |
tetragonal |
{10,4} |
3 |
(2,2) |
|
G
|
False
|
|
sqc4751
|
|
I41/a |
88 |
tetragonal |
{4,16} |
6 |
(2,3) |
|
D
|
True
|
|
sqc3128
|
|
I41/amd |
141 |
tetragonal |
{4,12} |
6 |
(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 41 42 9 10 47 48 15 16 53 54 21 22 65 66 27 28 71 72 33 34 59 60 39 40 45 46 51 52 57 58 63 64 69 70 75 76 95 96 81 82 89 90 87 88 93 94,7 38 39 5 18 44 45 11 24 25 50 51 17 31 62 63 23 68 69 29 84 56 57 35 96 43 41 60 47 72 67 53 78 61 59 65 90 71 85 92 93 77 91 86 87 83 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 3 4 4 3 4 3 3 3 4 3 3,4 16 16 4 4 4> {(0, 29): 't3^-1*tau2^-1', (0, 41): 't1', (0, 95): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 37): 't1', (0, 22): 'tau3*t2^-1', (0, 88): 't2*tau3^-1*t1^-1*tau2*t3', (0, 59): 'tau3^-1*t2', (1, 55): 'tau3^-1*t2', (1, 91): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 52): 't3*tau2', (0, 23): 'tau3*t2^-1', (0, 89): 't2*tau3^-1*t1^-1*tau2*t3', (0, 46): 't1', (1, 85): 't2*tau3^-1*t1^-1*tau2*t3', (1, 24): 't3^-1', (1, 67): 'tau2*t3', (1, 54): 't2^-1', (1, 90): 'tau1', (0, 53): 't3*tau2', (0, 47): 't1', (1, 84): 'tau1^-1', (1, 66): 't3^-1', (0, 28): 't3^-1*tau2^-1', (0, 40): 't1', (0, 94): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 49): 't3*tau2', (1, 61): 't2*tau3^-1', (1, 43): 't1', (1, 30): 't2^-1', (0, 58): 'tau3^-1*t2', }