U-tiling: UQC195
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc206 |
*22222 |
(2,4,2) |
{8,4} |
{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
|
|
sqc2486
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
8 |
(2,4) |
G
|
False
|
|
sqc4775
|
|
I4122 |
98 |
tetragonal |
{8,4} |
8 |
(2,4) |
D
|
False
|
|
sqc718
|
|
P4222 |
93 |
tetragonal |
{8,4} |
4 |
(2,4) |
Topological data
Vertex degrees | {8,4} |
2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:96:25 14 15 5 18 31 20 21 11 24 37 17 49 23 38 39 29 42 50 51 35 54 41 73 62 63 47 66 53 79 68 69 59 72 85 65 91 71 86 87 77 90 92 93 83 96 89 95,2 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 96,55 3 16 17 12 43 9 22 23 67 15 24 61 21 79 27 40 41 48 73 33 52 53 60 91 39 66 45 64 65 85 51 72 57 70 71 63 69 75 88 89 84 81 94 95 87 96 93:4 4 4 4 4 4 4 4 4 4 4 4,8 4 8 8 4 8 4 4> {(0, 59): 't2^-1*tau3', (0, 56): 't2^-1*tau3', (0, 62): 'tau2*t3', (0, 61): 'tau2*t3', (2, 52): 'tau3*t2^-1', (2, 53): 'tau3', (0, 48): 't1^-1', (2, 48): 't1^-1', (0, 55): 't2^-1*tau3', (2, 51): 'tau3*t2^-1', (2, 47): 't3^-1', (2, 40): 'tau2^-1*t3^-1', (0, 47): 't3^-1*tau2^-1', (2, 39): 'tau2^-1*t3^-1', (2, 35): 't2', (0, 19): 't1', (2, 23): 't1', (2, 16): 't1^-1', (0, 20): 't1', (2, 12): 't1^-1', (0, 11): 't1^-1', (2, 15): 't1^-1', (0, 89): 'tau2*t3', (0, 90): 't1^-1', (2, 93): 'tau2^-1*t3^-1', (2, 94): 'tau2^-1*t3^-1', (2, 95): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 88): 't1*tau3*t2^-1', (0, 95): 't1^-1*tau3^-1*t2', (0, 92): 't1^-1*tau3^-1*t2', (2, 83): 'tau1', (0, 74): 't3^-1*tau2^-1', (0, 73): 't3^-1*tau2^-1', (0, 79): 't2^-1*tau3*t1', (2, 75): 't2*tau3^-1*t1^-1', (2, 65): 'tau2'}