U-tiling: UQC712
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc61 |
*2224 |
(1,3,2) |
{4} |
{4.8.8.4} |
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
|
|
sqc6928
|
scu-a
|
P4/mmm |
123 |
tetragonal |
{3,4} |
16 |
(2,5) |
G
|
False
|
|
sqc7750
|
|
I4122 |
98 |
tetragonal |
{4,4} |
16 |
(2,5) |
D
|
False
|
|
sqc1923
|
|
P4222 |
93 |
tetragonal |
{4,4} |
8 |
(2,5) |
Topological data
Vertex degrees | {4,4} |
2D vertex symbol | {4.8.8.4}{8.4.4.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.2:128:73 18 19 5 14 15 24 57 26 27 13 32 89 21 30 31 81 29 105 50 51 37 62 63 56 97 66 67 45 78 79 72 121 53 86 87 82 83 61 88 113 69 94 95 90 91 77 96 85 93 114 115 101 110 111 120 122 123 109 128 117 126 127 125,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,33 3 36 37 7 40 41 11 44 45 15 48 49 19 52 53 23 56 65 27 68 69 31 72 35 39 43 47 51 55 97 59 100 101 63 104 67 71 105 75 108 109 79 112 113 83 116 117 87 120 121 91 124 125 95 128 99 103 107 111 115 119 123 127:4 8 4 4 4 8 4 4 8 4 8 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 16): 't1^-1', (2, 27): 't1', (2, 120): 't1^-1', (2, 127): 't1^-1', (0, 41): 't2*tau3^-1', (0, 18): 't1^-1', (0, 31): 't1', (0, 126): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 53): 'tau2^-1', (0, 62): 't3^-1', (0, 125): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 123): 't1^-1', (0, 119): 'tau2*t3', (0, 45): 't2', (0, 22): 't1^-1', (0, 121): 'tau2^-1*t3^-1', (2, 124): 't1^-1', (0, 69): 'tau3', (0, 17): 't1^-1', (2, 28): 't1', (0, 112): 't1', (0, 61): 't3^-1', (0, 110): 'tau1', (0, 114): 't1*tau3*t2^-1', (0, 50): 'tau2^-1*t3^-1', (0, 63): 't3^-1*tau2^-1', (0, 21): 't1^-1', (2, 24): 't1', (0, 109): 'tau1', (0, 42): 't2*tau3^-1', (0, 127): 't1^-1*tau3^-1*t2', (0, 54): 'tau2^-1', (0, 113): 't1*tau3*t2^-1', (2, 31): 't1', (0, 95): 'tau3^-1*t2', (0, 70): 'tau3', (0, 46): 't2', (0, 49): 'tau2^-1*t3^-1', (0, 122): 'tau2^-1*t3^-1', }