U-tiling: UQC508
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc344 |
*2244 |
(2,4,3) |
{4,12} |
{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
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
|
|
sqc645
|
|
P4/mmm |
123 |
tetragonal |
{4,6} |
5 |
(2,4) |
|
G
|
False
|
|
sqc6232
|
|
I41/a |
88 |
tetragonal |
{4,12} |
10 |
(2,4) |
|
D
|
True
|
|
sqc4781
|
|
I41/amd |
141 |
tetragonal |
{4,8} |
10 |
(2,4) |
Topological data
| Vertex degrees | {4,12} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.1:112:8 44 45 5 48 49 51 52 12 55 56 29 58 59 19 62 63 36 72 73 26 76 77 79 80 33 83 84 65 66 40 69 70 50 47 54 78 61 71 68 75 82 99 107 108 89 111 112 106 100 101 96 104 105 103 110,2 4 6 21 9 11 13 28 16 18 20 23 25 27 30 32 34 98 37 39 41 112 44 46 48 70 51 53 55 84 58 60 62 91 65 67 69 72 74 76 105 79 81 83 86 88 90 93 95 97 100 102 104 107 109 111,43 3 46 47 7 50 10 53 54 14 57 17 60 61 21 71 24 74 75 28 78 31 81 82 35 64 38 67 68 42 45 49 52 56 59 63 66 70 73 77 80 84 106 87 109 110 91 99 94 102 103 98 101 105 108 112:4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 12 4 12 4 4 4 4 4 4> {(0, 100): 't2*tau3^-1*t1^-1*tau2*t3', (0, 103): 't2*tau3^-1*t1^-1*tau2*t3', (0, 29): 't3^-1*tau2^-1', (0, 51): 't1', (0, 41): 't2^-1*tau3', (0, 107): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 62): 't3*tau2', (0, 43): 't1', (0, 55): 't1', (0, 111): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 22): 'tau3*t2^-1', (0, 57): 't3*tau2', (0, 34): 't3^-1*tau2^-1', (0, 47): 't1', (0, 36): 't2^-1*tau3', (0, 26): 'tau3*t2^-1', (0, 105): 'tau1', (0, 48): 't1', (0, 61): 't3*tau2', (0, 28): 't3^-1', (0, 99): 't2*tau3^-1*t1^-1*tau2*t3', (0, 50): 't1', (0, 63): 't2^-1', (0, 40): 't2^-1*tau3', (0, 30): 't3^-1*tau2^-1', (0, 98): 'tau1^-1', (0, 33): 't3^-1*tau2^-1', (0, 106): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 23): 'tau3*t2^-1', (0, 54): 't1', (0, 35): 't2^-1', (0, 44): 't1', (0, 104): 't2*tau3^-1*t1^-1*tau2*t3', (0, 56): 't3', (0, 37): 't2^-1*tau3', (0, 110): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 27): 'tau3*t2^-1', (0, 58): 't3*tau2', }