U-tiling: UQC3325
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc372 |
*2244 |
(3,4,2) |
{4,8,4} |
{4.5.5.4}{5.5.5.5.5.5.5.5}{5.5.5.5} |
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
|
|
sqc645
|
|
P4/mmm |
123 |
tetragonal |
{4,6} |
5 |
(2,4) |
|
G
|
False
|
|
sqc6374
|
|
I41/a |
88 |
tetragonal |
{4,8,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc6430
|
|
I41/amd |
141 |
tetragonal |
{4,8,4} |
12 |
(3,4) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {4.5.5.4}{5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.1:112:8 44 45 5 7 51 52 12 14 29 58 59 19 21 36 72 73 26 28 79 80 33 35 65 66 40 42 50 47 49 54 56 78 61 63 71 68 70 75 77 82 84 99 107 108 89 91 106 100 101 96 98 103 105 110 112,2 4 6 49 9 11 13 56 16 18 20 63 23 25 27 77 30 32 34 84 37 39 41 70 44 46 48 51 53 55 58 60 62 65 67 69 72 74 76 79 81 83 86 88 90 112 93 95 97 105 100 102 104 107 109 111,43 3 46 47 20 21 50 10 53 54 27 28 57 17 60 61 71 24 74 75 78 31 81 82 97 98 64 38 67 68 111 112 45 69 70 52 83 84 59 90 91 66 73 104 105 80 106 87 109 110 99 94 102 103 101 108:4 5 5 4 5 4 5 5 5 4 5 5,4 8 4 4 8 4 4 4 4 4 4 4> {(2, 60): 't3*tau2', (0, 56): 't3', (2, 63): 'tau3^-1*t2', (2, 56): 't3*tau2', (0, 63): 't2^-1', (2, 59): 't3*tau2', (2, 52): 't1', (2, 53): 't1', (2, 49): 't1', (2, 45): 't1', (2, 46): 't1', (2, 42): 't1', (0, 35): 't2^-1', (2, 38): 't2^-1*tau3', (2, 39): 't2^-1*tau3', (2, 32): 't3^-1*tau2^-1', (2, 28): 't3^-1*tau2^-1', (2, 31): 't3^-1*tau2^-1', (2, 24): 'tau3*t2^-1', (2, 25): 'tau3*t2^-1', (0, 28): 't3^-1', (2, 21): 'tau3*t2^-1', (2, 108): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 109): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 105): 'tau1', (2, 105): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 98): 'tau1^-1', (2, 101): 't2*tau3^-1*t1^-1*tau2*t3', (2, 102): 't2*tau3^-1*t1^-1*tau2*t3', (2, 98): 't2*tau3^-1*t1^-1*tau2*t3'}