U-tiling: UQC3061
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2288 |
*4444 |
(2,6,6) |
{8,3} |
{4.8.8.4.3.4.8.8}{4.8.3} |
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
|
|
sqc5805
|
|
P-4m2 |
115 |
tetragonal |
{7,3} |
12 |
(2,6) |
|
G
|
False
|
|
sqc6471
|
|
I-4 |
82 |
tetragonal |
{8,3,3} |
12 |
(3,7) |
|
D
|
False
|
|
sqc6415
|
|
I4/mmm |
139 |
tetragonal |
{8,3} |
12 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.8.8.4.3.4.8.8}{4.8.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:112:29 30 87 88 33 34 9 10 39 40 27 28 43 44 101 102 47 48 23 24 53 54 45 46 37 38 69 70 51 52 83 84 85 86 73 74 89 90 65 66 95 96 99 100 103 104 79 80 109 110 93 94 111 112 107 108,15 3 5 7 22 11 14 13 17 19 21 25 28 27 57 31 33 35 64 39 42 41 71 45 47 49 78 53 56 55 59 61 63 67 70 69 73 75 77 81 84 83 99 87 89 91 106 95 98 97 101 103 105 109 112 111,2 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 98 100 102 104 106 108 110 112:4 8 8 4 3 8 4 3 3 4 4 3,8 3 3 8 3 8 3 3 3 8 3 3> {(0, 103): 't3^-1*tau2^-1*t3^-1', (0, 29): 't2^-1', (0, 95): 't3^-1', (1, 77): 't3*tau2*t1^-1', (0, 55): 't1*tau2^-1*t3^-1', (0, 52): 't1', (0, 42): 'tau3^-1', (0, 108): 't3^-1*tau2^-1*t3^-1', (0, 56): 'tau1', (0, 46): 't1', (0, 16): 't1^-1*tau2*t3', (0, 60): 't3', (0, 53): 't1', (0, 43): 'tau3^-1', (0, 109): 't3^-1*tau2^-1*t3^-1', (1, 70): 't3*tau2*t1^-1', (0, 57): 'tau1', (0, 98): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 47): 't1', (0, 17): 't1^-1*tau2*t3', (0, 61): 't3', (0, 102): 't3^-1*tau2^-1*t3^-1', (0, 28): 't2^-1', (0, 94): 't3^-1', (0, 54): 't1*tau2^-1*t3^-1', (0, 99): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', }