U-tiling: UQC3021
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1965 |
*4444 |
(2,5,6) |
{6,6} |
{4.8.4.3.4.8}{4.4.4.3.4.3} |
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
|
|
sqc4289
|
|
P-4m2 |
115 |
tetragonal |
{5,6} |
8 |
(2,5) |
|
G
|
False
|
|
sqc5182
|
|
I-4 |
82 |
tetragonal |
{6,6} |
8 |
(2,6) |
|
D
|
False
|
|
sqc5096
|
|
I-4m2 |
119 |
tetragonal |
{6,6} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {4.8.4.3.4.8}{4.4.4.3.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.1:96:25 26 75 76 7 8 81 82 23 24 37 38 87 88 19 20 93 94 39 40 31 32 45 46 59 60 43 44 71 72 73 74 63 64 55 56 69 70 85 86 67 68 79 80 95 96 91 92,13 3 5 18 9 11 34 36 15 17 21 23 46 48 49 27 29 54 33 35 61 39 41 66 45 47 51 53 57 59 82 84 63 65 69 71 94 96 85 75 77 90 81 83 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 96:4 8 4 3 4 4 4 4 3 3 4 3,6 6 6 6 6 6 6 6> {(1, 57): 't3', (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, 46): 't1*tau2^-1*t3^-1', (0, 49): 'tau1', (0, 60): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 20): 't1^-1*tau2*t3', (0, 47): 't1*tau2^-1*t3^-1', (1, 93): 't3^-1*tau2^-1*t3^-1', (0, 14): 't1^-1*tau2*t3', (0, 36): 'tau3^-1', (0, 61): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 21): 't1^-1*tau2*t3', (1, 47): 't1', (0, 0): 't2', (0, 25): 't2^-1', (0, 15): 't1^-1*tau2*t3', (0, 37): 'tau3^-1', (1, 65): 't3*tau2*t1^-1', }