U-tiling: UQC3326
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc372 |
*2244 |
(3,4,2) |
{4,8,4} |
{4.5.5.4}{5.5.5.5.5.5.5.5}{5.5.5.5} |
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
|
|
sqc5031
|
|
P42/mmc |
131 |
tetragonal |
{3,8,4} |
12 |
(3,4) |
|
G
|
False
|
|
sqc6375
|
|
I-42d |
122 |
tetragonal |
{4,8,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc1275
|
|
P-42m |
111 |
tetragonal |
{4,4,8} |
6 |
(3,4) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {4.5.5.4}{5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.1:112:57 44 45 5 7 64 51 52 12 14 71 23 24 19 21 78 26 28 85 37 38 33 35 92 40 42 99 47 49 106 54 56 100 101 61 63 107 108 68 70 79 80 75 77 82 84 93 94 89 91 96 98 103 105 110 112,2 4 6 49 9 11 13 56 16 18 20 28 23 25 27 30 32 34 42 37 39 41 44 46 48 51 53 55 58 60 62 105 65 67 69 112 72 74 76 84 79 81 83 86 88 90 98 93 95 97 100 102 104 107 109 111,8 3 11 12 20 21 10 27 28 29 17 32 33 36 24 39 40 31 48 49 38 55 56 50 45 53 54 52 64 59 67 68 76 77 66 83 84 85 73 88 89 92 80 95 96 87 104 105 94 111 112 106 101 109 110 108:4 5 4 5 4 5 4 5 5 5 5 5,4 8 4 4 4 4 4 8 4 4 4 4> {(2, 61): 't2', (2, 62): 't2', (0, 50): 't3^-1*tau2^-1*t1', (0, 51): 't3^-1*tau2^-1*t1', (2, 54): 't3^-1*tau2^-1*t3^-1', (2, 55): 't3^-1*tau2^-1*t3^-1', (2, 48): 't3^-1', (2, 47): 't3^-1', (1, 111): 't3^-1*tau2^-1*t1', (2, 38): 't3*tau2*t1^-1', (2, 39): 't3*tau2*t1^-1', (2, 35): 't3*tau2*t1^-1', (2, 26): 't1', (2, 27): 't1', (1, 55): 't3^-1*tau2^-1*t1', (0, 106): 't3^-1*tau2^-1*t1', (0, 107): 't3^-1*tau2^-1*t1', (2, 110): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 111): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 104): 'tau1^-1', (2, 103): 'tau1^-1', (2, 94): 't3*tau2*t1^-1', (2, 95): 't3*tau2*t1^-1', (2, 91): 't3*tau2*t1^-1', (2, 82): 'tau3^-1', (2, 83): 'tau3^-1'}