U-tiling: UQC3297
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc308 |
*2244 |
(3,2,2) |
{8,6,4} |
{4.4.4.4.4.4.4.4}{4.4.4.4.4.4}{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
|
False
|
|
sqc5119
|
|
P42/mmc |
131 |
tetragonal |
{8,6,4} |
8 |
(3,2) |
|
G
|
False
|
|
sqc5325
|
|
I-42d |
122 |
tetragonal |
{8,6,4} |
8 |
(3,3) |
|
D
|
False
|
|
sqc880
|
kty
|
P4/mmm |
123 |
tetragonal |
{6,8,4} |
4 |
(3,2) |
Topological data
| Vertex degrees | {8,6,4} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.1:96:2 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 96,37 50 15 5 18 43 56 21 11 24 19 62 17 68 23 31 74 39 29 42 80 45 35 48 86 41 92 47 85 63 53 66 91 69 59 72 67 65 71 79 87 77 90 93 83 96 89 95,3 4 11 12 9 10 15 16 29 30 21 22 35 36 27 28 33 34 39 40 47 48 45 46 51 52 59 60 57 58 63 64 77 78 69 70 83 84 75 76 81 82 87 88 95 96 93 94:4 4 4 4 4 4 4 4 4 4 4 4,8 6 4 6 6 6 8 4> {(1, 89): 'tau1^-1', (1, 90): 't3^-1*tau2^-1*t1', (1, 92): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 95): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 62): 't2^-1', (1, 23): 't1', (1, 20): 't1', (2, 82): 't3*tau2*t1^-1', (1, 86): 'tau1^-1', (1, 41): 't3^-1', (1, 42): 't3^-1*tau2^-1*t1', (2, 83): 't3*tau2*t1^-1', (1, 71): 'tau3^-1', (1, 47): 't3^-1*tau2^-1*t3^-1', (1, 65): 't2^-1', (1, 38): 't3^-1', (1, 44): 't3^-1*tau2^-1*t3^-1', (1, 68): 'tau3^-1', (2, 34): 't3*tau2*t1^-1', (2, 35): 't3*tau2*t1^-1'}