U-tiling: UQC3019
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1964 |
*4444 |
(2,5,6) |
{8,4} |
{4.8.3.4.4.4.3.8}{3.4.4.4} |
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
|
|
sqc4358
|
|
P-4m2 |
115 |
tetragonal |
{4,7} |
8 |
(2,5) |
|
G
|
False
|
|
sqc5088
|
|
I-4 |
82 |
tetragonal |
{4,8} |
8 |
(2,6) |
|
D
|
False
|
|
sqc5017
|
|
I4/mmm |
139 |
tetragonal |
{4,8} |
8 |
(2,4) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.8.3.4.4.4.3.8}{3.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.1:96:25 26 5 6 31 32 21 22 35 36 37 38 17 18 43 44 47 48 29 30 57 58 41 42 69 70 73 74 53 54 79 80 83 84 85 86 65 66 91 92 95 96 77 78 93 94 89 90,13 3 16 7 9 80 11 84 15 19 21 92 23 96 49 27 52 31 33 44 35 48 61 39 64 43 45 47 51 55 57 68 59 72 63 67 69 71 85 75 88 79 81 83 87 91 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 4 3 4 8 4 4 3 3 4 4 3,4 8 8 4 8 4 8 4> {(1, 91): 't3^-1*tau2^-1*t1', (0, 95): 't3^-1*tau2^-1*t3^-1', (0, 55): 'tau1', (0, 45): 't1*tau2^-1*t3^-1', (1, 60): 't3*tau2*t1^-1', (0, 59): 't3', (0, 48): 'tau1', (0, 30): 't2^-1', (0, 42): 'tau3^-1', (0, 46): 't1', (0, 49): 'tau1', (1, 63): 't3*tau2*t1^-1', (0, 60): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (1, 23): 't1^-1*tau2*t3', (0, 31): 't2^-1', (0, 43): 'tau3^-1', (0, 47): 't1', (0, 24): 't2^-1', (0, 36): 'tau3^-1', (0, 90): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 61): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 94): 't3^-1*tau2^-1*t3^-1', (0, 54): 'tau1', (0, 44): 't1*tau2^-1*t3^-1', (0, 25): 't2^-1', (0, 37): 'tau3^-1', (0, 91): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 58): 't3', }