U-tiling: UQC5856
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2085 |
*4444 |
(6,5,2) |
{4,8,4,3,4,4} |
{6.6.6.6}{6.6.6.6.6.6.6.6}{6.6.6... |
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
|
|
sqc3927
|
|
P4/mmm |
123 |
tetragonal |
{6,4,3,4,4} |
11 |
(5,5) |
|
G
|
False
|
|
sqc4943
|
|
I-4 |
82 |
tetragonal |
{4,8,4,3,4,4} |
12 |
(6,6) |
|
D
|
False
|
|
sqc5032
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,3,4,4} |
12 |
(6,5) |
Topological data
| Vertex degrees | {4,8,4,3,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}{6.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.2:96:2 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 96,25 3 5 30 9 11 82 84 37 15 17 42 21 23 94 96 27 29 33 35 46 48 39 41 45 47 73 51 53 78 57 59 70 72 85 63 65 90 69 71 75 77 81 83 87 89 93 95,13 14 27 28 7 8 33 34 35 36 39 40 19 20 45 46 47 48 49 50 31 32 61 62 43 44 75 76 55 56 81 82 83 84 87 88 67 68 93 94 95 96 85 86 79 80 91 92:6 6 6 6 6 6 6 6,4 8 4 3 4 4 4 3 4 3 4 3> {(2, 60): 't3*tau2*t1^-1', (2, 61): 't3*tau2*t1^-1', (2, 62): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 63): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 56): 'tau1', (2, 57): 'tau1', (2, 58): 't3', (2, 59): 't3', (2, 50): 'tau1', (2, 51): 'tau1', (2, 44): 'tau3^-1', (2, 45): 'tau3^-1', (2, 46): 't1', (2, 47): 't1', (2, 38): 'tau3^-1', (2, 39): 'tau3^-1', (2, 32): 't2^-1', (2, 33): 't2^-1', (1, 89): 't3^-1*tau2^-1*t3^-1', (2, 26): 't2^-1', (2, 27): 't2^-1', (1, 84): 't3^-1*tau2^-1*t3^-1', (1, 72): 't3^-1', (1, 77): 't3^-1', (1, 41): 't1', (1, 36): 't1', (2, 92): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 93): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 94): 't3^-1*tau2^-1*t3^-1', (2, 95): 't3^-1*tau2^-1*t3^-1', (1, 21): 't1^-1*tau2*t3', (1, 23): 't1^-1*tau2*t3'}