U-tiling: UQC3478
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc551 |
*22222 |
(3,3,2) |
{4,3,4} |
{10.10.10.10}{10.4.10}{10.4.10.4} |
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
|
|
sqc6116
|
|
P4/mmm |
123 |
tetragonal |
{3,3,4} |
16 |
(3,3) |
|
G
|
False
|
|
sqc6662
|
|
I4122 |
98 |
tetragonal |
{4,3,4} |
16 |
(3,4) |
|
D
|
False
|
|
sqc1438
|
|
P42/mmc |
131 |
tetragonal |
{4,3,4} |
8 |
(3,3) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {10.10.10.10}{10.4.10}{10.4.10.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.1:112:15 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 12 69 21 9 11 55 28 16 18 26 83 23 25 76 30 32 54 97 49 37 39 68 90 63 44 46 75 111 51 53 77 58 60 82 104 65 67 84 72 74 79 81 86 88 96 105 93 95 112 100 102 110 107 109,29 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 98 104 105 111 112:10 4 4 10 4 10 4 10,4 3 4 4 3 4 3 4 3 3 4 3 4 3 3 4> {(2, 56): 't1^-1', (2, 57): 't1^-1', (2, 58): 't1^-1', (0, 49): 't3^-1*tau2^-1', (1, 104): 't1*tau3*t2^-1', (1, 109): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 15): 't1^-1', (1, 111): 'tau2^-1*t3^-1', (1, 103): 't1', (0, 63): 't2^-1*tau3', (1, 88): 'tau1^-1', (1, 81): 'tau3^-1', (1, 82): 't1', (2, 16): 't1^-1', (0, 21): 't1', (1, 74): 'tau2', (1, 67): 't2^-1', (1, 62): 'tau3*t2^-1', (1, 48): 'tau2^-1*t3^-1', (1, 53): 't3^-1', (0, 105): 't1^-1*tau3^-1*t2', (2, 105): 't1^-1', (0, 98): 'tau2*t3', (1, 25): 't1', (1, 20): 't1^-1'}