U-tiling: UQC2643
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1984 |
*4444 |
(2,5,5) |
{24,3} |
{4.8.4.3.4.8.4.8.4.3.4.8.4.8.4.3... |
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) |
|
G
|
True
|
|
sqc3113
|
|
I-4m2 |
119 |
tetragonal |
{16,3} |
9 |
(2,4) |
|
D
|
True
|
|
sqc4011
|
|
I4/mmm |
139 |
tetragonal |
{20,3} |
9 |
(2,5) |
Topological data
| Vertex degrees | {24,3} |
| 2D vertex symbol | {4.8.4.3.4.8.4.8.4.3.4.8.4.8.4.3.4.8.4.8.4.3.4.8}{4.8.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.2:96:13 14 27 28 7 8 33 34 83 84 39 40 19 20 45 46 95 96 49 50 31 32 47 48 61 62 43 44 75 76 55 56 81 82 71 72 87 88 67 68 93 94 85 86 79 80 91 92,25 3 5 78 9 12 11 37 15 17 90 21 24 23 27 29 42 33 36 35 39 41 45 48 47 73 51 53 66 57 60 59 85 63 65 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 4 3 8 4 3 3 4 3 4,24 3 3 3 3 3 3 3 3> {(0, 51): 'tau1', (0, 62): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 45): 'tau3^-1', (0, 22): 't1^-1*tau2*t3', (0, 26): 't2^-1', (0, 38): 'tau3^-1', (0, 92): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 63): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (1, 36): 't1', (0, 23): 't1^-1*tau2*t3', (1, 72): 't3^-1', (0, 56): 'tau1', (0, 27): 't2^-1', (0, 39): 'tau3^-1', (0, 93): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 60): 't3*tau2*t1^-1', (0, 32): 't2^-1', (0, 57): 'tau1', (1, 84): 't3^-1*tau2^-1*t3^-1', (0, 61): 't3*tau2*t1^-1', (1, 89): 't3^-1*tau2^-1*t1', (0, 50): 'tau1', (0, 33): 't2^-1', (0, 44): 'tau3^-1', }