U-tiling: UQC79
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc9 |
*246 |
(1,1,1) |
{4} |
{6.6.6.6} |
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
|
|
sqc4678
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4} |
12 |
(3,4) |
|
G
|
False
|
|
sqc5236
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc857
|
|
P4222 |
93 |
tetragonal |
{4,4,4} |
6 |
(3,4) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:96:13 3 5 18 19 9 11 24 15 17 21 23 37 27 29 42 49 33 35 54 39 41 61 45 47 66 51 53 67 57 59 72 63 65 69 71 85 75 77 90 91 81 83 96 87 89 93 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 96,25 56 57 16 17 12 31 44 45 22 23 37 68 69 24 49 62 63 80 81 40 41 48 74 75 52 53 60 92 93 66 73 64 65 86 87 72 79 70 71 85 91 88 89 84 94 95 96:6 6 6 6 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4> {(0, 59): 't2^-1*tau3', (0, 60): 'tau2*t3', (2, 59): 't2^-1', (2, 52): 'tau3*t2^-1', (2, 53): 'tau3', (0, 54): 't2^-1*tau3', (2, 49): 't1^-1', (2, 50): 't1^-1', (2, 51): 'tau3*t2^-1', (2, 47): 't3^-1', (2, 40): 'tau2^-1*t3^-1', (0, 47): 't3^-1*tau2^-1', (2, 39): 'tau2^-1*t3^-1', (2, 13): 't1^-1', (0, 18): 't1', (2, 23): 't1', (2, 16): 't1^-1', (2, 18): 't1', (0, 11): 't1^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (0, 89): 'tau2*t3', (0, 90): 't1^-1*tau3^-1*t2', (2, 93): 'tau2^-1*t3^-1', (2, 94): 'tau2^-1*t3^-1', (2, 95): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 88): 't1*tau3*t2^-1', (2, 90): 't1^-1', (0, 83): 't2^-1*tau3*t1', (0, 84): 'tau2*t3', (2, 83): 'tau1', (2, 75): 't2*tau3^-1*t1^-1', (2, 65): 'tau2'}