U-tiling: UQC635
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc420 |
*2244 |
(2,3,3) |
{20,4} |
{4.3.3.3.3.4.3.3.3.3.4.3.3.3.3.4... |
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
|
|
sqc544
|
|
P4/mmm |
123 |
tetragonal |
{14,4} |
3 |
(2,3) |
|
G
|
False
|
|
sqc6237
|
|
I41/a |
88 |
tetragonal |
{20,4} |
6 |
(2,4) |
|
D
|
True
|
|
sqc4774
|
|
I41/amd |
141 |
tetragonal |
{16,4} |
6 |
(2,3) |
Topological data
| Vertex degrees | {20,4} |
| 2D vertex symbol | {4.3.3.3.3.4.3.3.3.3.4.3.3.3.3.4.3.3.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<51.1:112:8 4 5 48 49 11 12 55 56 29 18 19 62 63 36 25 26 76 77 32 33 83 84 39 40 69 70 50 46 47 53 54 78 60 61 71 67 68 74 75 81 82 99 88 89 111 112 106 95 96 104 105 102 103 109 110,2 6 11 47 21 9 13 54 28 16 20 32 61 23 27 39 75 30 34 82 98 37 41 68 112 44 48 53 70 51 55 84 58 62 81 91 65 69 74 72 76 105 79 83 86 90 102 110 93 97 109 103 100 104 107 111,43 3 5 7 50 10 12 14 57 17 19 21 71 24 26 28 78 31 33 35 64 38 40 42 45 47 49 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 106 87 89 91 99 94 96 98 101 103 105 108 110 112:3 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3,20 4 20 4 4 4> {(0, 103): 't2*tau3^-1*t1^-1*tau2*t3', (1, 66): 't2^-1', (1, 88): 't3*tau2*t1^-1*tau3^-1*t2', (1, 59): 't3', (0, 41): 't2^-1*tau3', (1, 53): 't1', (0, 90): 't3*tau2*t1^-1*tau3^-1*t2', (0, 62): 't3*tau2', (0, 84): 'tau1', (1, 81): 'tau2*t3', (1, 4): 't1^-1', (0, 27): 'tau3*t2^-1', (0, 55): 't1', (1, 101): 'tau1^-1', (1, 17): 't3', (1, 39): 't2^-1*tau3', (0, 34): 't3^-1*tau2^-1', (0, 47): 't1', (0, 26): 'tau3*t2^-1', (0, 105): 'tau1', (0, 48): 't1', (0, 61): 't3*tau2', (0, 28): 't3^-1', (0, 63): 't2^-1', (0, 40): 't2^-1*tau3', (1, 38): 't2^-1', (0, 33): 't3^-1*tau2^-1', (1, 18): 'tau2^-1*t3^-1', (0, 54): 't1', (0, 35): 't2^-1', (0, 104): 't2*tau3^-1*t1^-1*tau2*t3', (1, 74): 't2*tau3^-1', (0, 56): 't3', (0, 110): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 94): 'tau1^-1', (1, 102): 't2*tau3^-1*t1^-1*tau2*t3', }