U-tiling: UQC3434
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc534 |
*2244 |
(3,3,2) |
{4,4,4} |
{3.16.16.3}{3.16.3.16}{16.16.16.16} |
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
|
|
sqc1356
|
|
P4/mmm |
123 |
tetragonal |
{4,4,4} |
7 |
(3,3) |
|
G
|
False
|
|
sqc6891
|
|
I41/a |
88 |
tetragonal |
{4,4,4} |
14 |
(3,4) |
|
D
|
False
|
|
sqc6892
|
|
I41/amd |
141 |
tetragonal |
{4,4,4} |
14 |
(3,3) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {3.16.16.3}{3.16.3.16}{16.16.16.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<44.1:112:8 3 5 7 10 12 14 29 17 19 21 36 24 26 28 31 33 35 38 40 42 50 45 47 49 52 54 56 78 59 61 63 71 66 68 70 73 75 77 80 82 84 99 87 89 91 106 94 96 98 101 103 105 108 110 112,2 10 6 47 21 9 13 54 28 16 31 20 61 23 38 27 75 30 34 82 98 37 41 68 112 44 52 48 70 51 55 84 58 80 62 91 65 73 69 72 76 105 79 83 86 101 90 110 93 108 97 103 100 104 107 111,43 4 5 48 49 50 11 12 55 56 57 18 19 62 63 71 25 26 76 77 78 32 33 83 84 64 39 40 69 70 46 47 53 54 60 61 67 68 74 75 81 82 106 88 89 111 112 99 95 96 104 105 102 103 109 110:3 16 16 3 3 3 3 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 't3*tau2', (0, 56): 't3', (2, 63): 'tau3^-1*t2', (2, 56): 't3*tau2', (0, 63): 't2^-1', (2, 54): 't1', (2, 55): 't1', (2, 48): 't1', (2, 62): 't3*tau2', (1, 107): 'tau1', (2, 47): 't1', (2, 40): 't2^-1*tau3', (2, 41): 't2^-1*tau3', (2, 42): 't1', (0, 35): 't2^-1', (2, 33): 't3^-1*tau2^-1', (2, 34): 't3^-1*tau2^-1', (2, 28): 't3^-1*tau2^-1', (2, 26): 'tau3*t2^-1', (2, 27): 'tau3*t2^-1', (2, 21): 'tau3*t2^-1', (1, 86): 'tau1', (0, 14): 't3', (1, 79): 't3^-1', (1, 65): 't2^-1', (2, 7): 't1^-1', (2, 110): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 105): 'tau1', (2, 104): 't2*tau3^-1*t1^-1*tau2*t3', (2, 105): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 103): 't2*tau3^-1*t1^-1*tau2*t3', (1, 37): 't2^-1', (2, 98): 't2*tau3^-1*t1^-1*tau2*t3', (2, 90): 't3*tau2*t1^-1*tau3^-1*t2', (1, 16): 't3', (0, 84): 'tau1'}