U-tiling: UQC2651
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1988 |
*4444 |
(2,5,5) |
{6,3} |
{4.8.16.3.16.8}{16.8.3} |
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
|
False
|
|
sqc4870
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
12 |
(2,5) |
|
G
|
False
|
|
sqc4878
|
|
I-4 |
82 |
tetragonal |
{6,3,3} |
12 |
(3,6) |
|
D
|
False
|
|
sqc4883
|
|
I-4m2 |
119 |
tetragonal |
{6,3} |
12 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.16.3.16.8}{16.8.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.2:96:13 14 27 28 7 8 81 82 35 36 39 40 19 20 93 94 47 48 49 50 31 32 45 46 61 62 43 44 75 76 55 56 69 70 83 84 87 88 67 68 95 96 85 86 79 80 91 92,25 3 5 30 9 12 11 37 15 17 42 21 24 23 27 29 33 36 35 39 41 45 48 47 73 51 53 78 57 60 59 85 63 65 90 69 72 71 75 77 81 84 83 87 89 93 96 95,2 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 96:4 8 16 3 8 3 3 3,6 3 6 3 3 3 6 3 6 3 3 3> {(0, 51): 'tau1', (0, 95): 't3^-1*tau2^-1*t3^-1', (1, 77): 't3^-1', (0, 62): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 59): 't3', (0, 26): 't2^-1', (0, 38): 'tau3^-1', (0, 63): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (1, 36): 't1', (1, 72): 't3^-1', (1, 41): 't1', (0, 46): 't1', (0, 27): 't2^-1', (0, 39): 'tau3^-1', (0, 60): 't3*tau2*t1^-1', (0, 20): 't1^-1*tau2*t3', (0, 47): 't1', (1, 84): 't3^-1*tau2^-1*t3^-1', (0, 61): 't3*tau2*t1^-1', (1, 89): 't3^-1*tau2^-1*t3^-1', (0, 50): 'tau1', (0, 21): 't1^-1*tau2*t3', (0, 94): 't3^-1*tau2^-1*t3^-1', (0, 58): 't3', }