U-tiling: UQC2997
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2325 |
*4444 |
(2,6,5) |
{4,3} |
{8.16.4.8}{4.8.16} |
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
|
|
sqc6642
|
|
P-4m2 |
115 |
tetragonal |
{3,4} |
16 |
(2,6) |
|
G
|
False
|
|
sqc6640
|
|
I-4 |
82 |
tetragonal |
{3,3,4,4} |
16 |
(4,7) |
|
D
|
False
|
|
sqc6641
|
|
I-4m2 |
119 |
tetragonal |
{3,4} |
16 |
(2,6) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {8.16.4.8}{4.8.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.2:112:29 30 87 88 7 8 37 38 25 26 41 42 43 44 101 102 21 22 51 52 55 56 45 46 35 36 67 68 49 50 81 82 85 86 73 74 63 64 93 94 97 98 99 100 77 78 107 108 111 112 91 92 109 110 105 106,3 6 5 9 14 11 13 17 20 19 23 28 25 27 31 34 33 37 42 39 41 45 48 47 51 56 53 55 59 62 61 65 70 67 69 73 76 75 79 84 81 83 87 90 89 93 98 95 97 101 104 103 107 112 109 111,2 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 98 100 102 104 106 108 110 112:8 4 16 8 8 4 4 4,3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4> {(0, 51): 'tau3^-1', (0, 107): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 55): 't1', (0, 96): 't3^-1', (0, 111): 't3^-1*tau2^-1*t3^-1', (0, 92): 'tau1^-1', (0, 52): 't1*tau2^-1*t3^-1', (0, 97): 't3^-1', (0, 42): 't1', (0, 56): 't3', (0, 16): 't1^-1*tau2*t3', (0, 93): 'tau1^-1', (0, 53): 't1*tau2^-1*t3^-1', (0, 43): 't1', (0, 57): 't3', (0, 98): 't3^-1*tau2^-1*t3^-1', (0, 36): 't2^-1', (0, 17): 't1^-1*tau2*t3', (0, 50): 'tau3^-1', (0, 106): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 54): 't1', (0, 99): 't3^-1*tau2^-1*t3^-1', (0, 37): 't2^-1', (0, 110): 't3^-1*tau2^-1*t3^-1', }