U-tiling: UQC3448
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc542 |
*22222 |
(3,3,2) |
{4,6,4} |
{5.5.5.5}{5.4.5.5.4.5}{5.4.5.4} |
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
|
|
sqc5793
|
|
P4/mmm |
123 |
tetragonal |
{3,6,4} |
12 |
(3,3) |
|
G
|
False
|
|
sqc6483
|
|
I4122 |
98 |
tetragonal |
{4,6,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc1319
|
|
P4222 |
93 |
tetragonal |
{6,4,4} |
6 |
(3,3) |
Topological data
| Vertex degrees | {4,6,4} |
| 2D vertex symbol | {5.5.5.5}{5.4.5.5.4.5}{5.4.5.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:112:15 3 5 7 22 10 12 14 17 19 21 24 26 28 43 31 33 35 57 38 40 42 45 47 49 71 52 54 56 59 61 63 78 66 68 70 73 75 77 80 82 84 99 87 89 91 106 94 96 98 101 103 105 108 110 112,2 4 19 20 14 9 11 26 27 16 18 28 23 25 30 32 47 48 56 37 39 61 62 70 44 46 77 51 53 75 76 58 60 84 65 67 82 83 72 74 79 81 86 88 103 104 98 93 95 110 111 100 102 112 107 109,29 65 66 6 7 36 51 52 13 14 43 79 80 20 21 57 72 73 27 28 93 94 34 35 86 87 41 42 107 108 48 49 85 55 56 100 101 62 63 92 69 70 99 76 77 106 83 84 90 91 97 98 104 105 111 112:5 4 5 5 4 5 4 5 5 5 4 5,4 6 4 4 6 4 4 6 4 6 4 4> {(2, 56): 't1^-1', (2, 57): 't1^-1', (2, 58): 't1^-1', (0, 49): 't3^-1*tau2^-1', (1, 104): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 109): 't1^-1*tau3^-1*t2', (2, 15): 't1^-1', (1, 110): 'tau2^-1*t3^-1', (1, 97): 'tau1', (1, 103): 't1*tau3*t2^-1', (0, 63): 't2^-1*tau3', (1, 88): 't3^-1*tau2^-1', (1, 81): 'tau3^-1*t2', (1, 83): 'tau3^-1', (2, 16): 't1^-1', (0, 21): 't1', (1, 74): 'tau2*t3', (1, 76): 'tau2', (1, 69): 't2^-1', (1, 61): 'tau3*t2^-1', (0, 98): 'tau2*t3', (1, 55): 't3^-1', (0, 105): 't1^-1*tau3^-1*t2', (2, 105): 't1^-1', (1, 33): 't3*tau2', (1, 27): 't1', (1, 11): 't1^-1', (1, 5): 't1'}