A Smörgåsbord of Skyrmions: index, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16
16a ε1.0923 ± 0.0001
b0.9999
r2.9037
VD(4345.0,17280.1,18320.6)
UD(576.5,584.6,600.0)
3.82%symD2h
Symmetric graphene.
16b ε1.0926 ± 0.0001
b0.9999
r3.2261
VD(3904.8,22787.1,22800.7)
UD(581.2,590.9,590.7)
0.47%symC2h [R. Battye and P. Sutcliffe, Phys. Rev. C73, 055205 (2006)]
Two 7a-Skyrmions joined by a 2-torus.
16c ε1.0926 ± 0.0001
b0.9999
r2.6165
VD(6921.4,10682.8,14678.4)
UD(592.2,597.9,602.2)
22.6%symC1h
Out-of-phase graphene.
16d ε1.0926 ± 0.0001
b0.9999
r2.7766
VD(5152.2,14717.5,16644.2)
UD(574.4,593.6,595.2)
7.85%symC2v
Symmetric graphene.
16e ε1.0928 ± 0.0001
b0.9999
r2.7910
VD(4813.0,15245.7,16868.1)
UD(573.9,594.8,593.4)
1.60%symC2h
Symmetric graphene.
16f ε1.0930 ± 0.0001
b0.9999
r3.6028
VD(2797.3,29711.4,29712.5)
UD(621.5,586.3,598.1)
0.02%symC4h
A long chain of eight 2-tori, or four cubes.
16g ε1.0930 ± 0.0001
b0.9999
r2.6048
VD(9093.8,9101.2,13825.7)
UD(670.9,574.1,574.6)
1.27%symD2d [R. Battye, N. S. Manton and P. Sutcliffe, Proc. Roy. Soc. Lond. A463, 261-279 (2007)]
The bent square solution, made of four cubes.
16h ε1.0931 ± 0.0001
b0.9999
r2.6720
VD(7427.5,11047.9,15334.4)
UD(624.6,583.2,578.2)
6.86%symC2v
A 7a-Skyrmion attached to a 9e-Skyrmion.
16i ε1.0932 ± 0.0001
b0.9999
r2.6331
VD(8481.8,9337.9,15012.1)
UD(648.4,573.4,589.7)
3.20%symC2h
Four cubes arranged in a square, without C4 symmetry.
16j ε1.0932 ± 0.0001
b0.9999
r2.6287
VD(8416.9,9350.1,14936.2)
UD(574.1,580.3,656.1)
0.04%symD2h
Four cubes arranged in a square, with three reflection symmetries but no C4 symmetry.
16k ε1.0933 ± 0.0001
b0.9999
r2.8618
VD(4615.2,16404.7,17803.5)
UD(571.2,603.3,592.2)
0.02%symC1h
Symmetric graphene.
16l ε1.0933 ± 0.0001
b0.9999
r2.7078
VD(6756.1,12142.2,15837.8)
UD(628.6,583.4,577.9)
13.2%sym
Similar to the 16h-Skyrmion, but the 1-Skyrmion lies between the 9e-Skyrmion and one of the cubes.
16m ε1.0933 ± 0.0001
b0.9999
r2.6200
VD(7026.5,10656.7,14670.0)
UD(633.0,578.2,588.5)
0.02%sym
Almost-symmetric graphene.
16n ε1.0933 ± 0.0001
b0.9999
r2.6456
VD(7453.5,10658.0,15011.0)
UD(618.3,574.9,588.9)
2.83%symC1h
A cluster formed from a 5a-Skyrmion, 7a-Skyrmion and a cube.
16o ε1.0933 ± 0.0001
b0.9999
r2.6662
VD(6993.7,11433.6,15190.6)
UD(613.2,593.6,576.3)
2.65%sym
Three clusters: a 7a-Skyrmion, 5a-Skyrmion and a cube.
16p ε1.0934 ± 0.0001
b0.9999
r3.1890
VD(3995.3,21769.9,22725.2)
UD(608.5,587.3,588.3)
1.29%symC1h
An 8a-Skyrmion chain attached to a deformed 10a-Skyrmion.
16q ε1.0935 ± 0.0001
b0.9999
r2.6393
VD(8955.4,8998.6,15047.3)
UD(590.1,599.4,599.1)
0.08%symC3
Out-of-phase graphene.
16r ε1.0937 ± 0.0001
b0.9999
r2.6257
VD(7199.3,10532.1,14870.2)
UD(621.5,578.4,586.2)
2.00%symC2v
Symmetric graphene.
16s ε1.0940 ± 0.0001
b0.9999
r2.6195
VD(6821.3,10900.2,14587.0)
UD(582.4,588.3,621.9)
0.95%symC2v
Symmetric graphene.
16t ε1.0940 ± 0.0001
b0.9999
r2.6369
VD(7025.7,10850.9,15097.0)
UD(617.0,594.1,581.2)
1.70%sym
Asymmetric graphene.
16u ε1.0940 ± 0.0001
b0.9999
r2.6907
VD(7061.2,11559.4,15683.0)
UD(637.5,585.0,575.5)
0.02%sym
Symmetric graphene, with two distinct cubes.
16v ε1.0940 ± 0.0001
b0.9999
r3.0660
VD(4919.7,19204.0,20617.5)
UD(605.6,585.7,588.1)
2.12%symC1h
A 7a-Skyrmion attached to a hinge 11i-Skyrmion, sharing a 2-torus.
16w ε1.0941 ± 0.0001
b0.9999
r2.8299
VD(5680.6,15144.5,17116.7)
UD(607.2,578.1,586.1)
0.04%symC1h
A 7a-Skyrmion loosely attached to a 9a-Skyrmion.
16x ε1.0941 ± 0.0001
b0.9999
r2.6375
VD(7262.0,10600.5,15114.0)
UD(626.2,585.1,579.6)
0.02%symC1h
Symmetric graphene.
16y ε1.0941 ± 0.0001
b0.9999
r2.9004
VD(5708.0,15815.9,18451.7)
UD(608.6,598.9,589.9)
2.77%sym
A 6a-Skyrmion attached to almost-symmetric graphene.
16z ε1.0942 ± 0.0001
b0.9999
r2.8994
VD(5728.6,15792.6,18436.3)
UD(597.5,601.0,599.2)
0.06%sym
A 6a-Skyrmion attached to out-of-phase graphene. This is the same graphene chunk seen in the 11l-Skyrmion.
16aa ε1.0942 ± 0.0001
b0.9999
r2.7686
VD(5578.6,14059.1,16711.9)
UD(611.0,591.4,601.9)
2.02%sym
A cube attached to the out-of-phase graphene 12d-Skyrmion.
16ab ε1.0943 ± 0.0001
b0.9999
r3.0270
VD(5335.1,18101.8,20163.9)
UD(608.8,584.5,593.6)
1.66%symC1h
A 6a-Skyrmion attached to a 7a-Skyrmion through a tetrahedral hinge.
16ac ε1.0943 ± 0.0001
b0.9999
r3.0305
VD(4493.4,19067.9,20125.5)
UD(597.0,580.5,582.8)
1.58%sym
A 7a-Skyrmion attached to almost-symmetric graphene.
16ad ε1.0943 ± 0.0001
b0.9999
r2.5722
VD(7492.4,9607.6,13899.8)
UD(577.6,606.9,619.4)
0.42%symD2
Unusual graphene.
16ae ε1.0944 ± 0.0001
b0.9999
r2.9984
VD(5368.6,17819.1,19598.5)
UD(605.9,590.4,581.3)
0.02%symC1h
Two 7a-Skyrmions, with a cube attached.
16af ε1.0944 ± 0.0001
b0.9999
r2.7020
VD(5876.9,12862.9,15909.5)
UD(599.8,588.7,590.9)
0.44%symC1h
Symmetric graphene.
16ag ε1.0945 ± 0.0001
b0.9999
r3.1661
VD(4921.7,20609.3,22217.6)
UD(586.6,595.7,606.3)
0.44%symC1h
A cluster formed from a 5a-Skyrmion, 7a-Skyrmion and a cube.
16ah ε1.0945 ± 0.0001
b0.9999
r2.6913
VD(6284.6,12296.3,15762.0)
UD(580.6,597.9,604.4)
0.10%symC1h
Symmetric graphene.
16ai ε1.0946 ± 0.0001
b0.9999
r2.6910
VD(6674.8,11962.8,15603.0)
UD(628.7,580.9,599.4)
0.02%sym
A cube attached to symmetric graphene.
16aj ε1.0946 ± 0.0001
b0.9999
r2.6879
VD(6568.2,12195.6,15470.2)
UD(619.9,583.6,591.1)
0.55%sym
A 6a-Skyrmion attached to out-of-phase graphene.
16ak ε1.0947 ± 0.0001
b0.9999
r3.1734
VD(3865.3,22020.3,22172.4)
UD(607.3,579.7,583.2)
0.06%symC1h
A 7a-Skyrmion loosely attached to a 9a-Skyrmion.
16al ε1.0947 ± 0.0001
b0.9999
r2.6204
VD(8462.3,9386.8,14721.7)
UD(585.3,600.6,622.2)
0.87%sym
Asymmetric graphene.
16am ε1.0947 ± 0.0001
b0.9999
r2.6228
VD(7892.5,10004.7,14669.9)
UD(589.3,613.8,603.7)
0.30%sym
Asymmetric graphene.
16an ε1.0947 ± 0.0001
b0.9999
r2.9018
VD(5287.7,16334.5,18377.9)
UD(585.0,597.2,611.2)
0.81%sym
A 8a-Skyrmion attached to a deformed 8b-Skyrmion.
16ao ε1.0947 ± 0.0001
b0.9999
r2.6142
VD(7970.3,9721.6,14651.6)
UD(574.6,598.9,632.8)
0.24%sym
Almost-symmetric graphene.
16ap ε1.0948 ± 0.0001
b0.9999
r3.1529
VD(3839.0,21339.0,22327.0)
UD(590.8,602.2,609.3)
0.12%symC1h
Symmetric graphene with three distinct clusters.
16aq ε1.0948 ± 0.0001
b0.9999
r3.1379
VD(5705.9,19192.6,22073.7)
UD(590.2,598.9,627.1)
0.40%sym
Four cubes arranged in a "L" tetromino, without symmetry.
16ar ε1.0949 ± 0.0001
b0.9999
r2.6006
VD(8014.6,9833.8,14191.8)
UD(633.8,584.2,590.4)
0.08%sym
A deformed square of cubes.
16as ε1.0949 ± 0.0001
b0.9999
r3.1992
VD(5917.0,19923.9,23083.9)
UD(598.7,609.1,604.2)
0.38%symC2v
A symmetric bent chain: a cube with two 6a-Skyrmions attached on adjacent faces.
16at ε1.0950 ± 0.0001
b0.9999
r2.7743
VD(8372.4,11447.4,16750.8)
UD(622.3,594.5,592.2)
0.69%symC1h
Two cubes attached to out-of-phase graphene.
16au ε1.0950 ± 0.0001
b0.9999
r2.6154
VD(8215.0,9577.1,14665.9)
UD(585.9,610.5,609.4)
0.02%symC1h
A 5a-Skyrmion attached to out-of-phase graphene.
16av ε1.0950 ± 0.0001
b0.9999
r3.0765
VD(5606.5,18412.4,21132.6)
UD(583.2,620.8,603.2)
0.02%symC1h
A cube and a 6a-Skyrmion attached to symmetric graphene.
16aw ε1.0950 ± 0.0001
b0.9999
r2.6884
VD(7827.3,10862.1,15591.2)
UD(633.6,596.3,580.8)
0.69%sym
A 6a-Skyrmion attached to a deformed 10-chain.
16ax ε1.0951 ± 0.0001
b0.9999
r2.6728
VD(6031.1,12251.8,15674.6)
UD(582.0,596.6,607.7)
0.06%symC2h
Out-of-phase graphene with tetravalent vertices. Can be interpreted as two 9b-Skyrmions, which share an edge.
16ay ε1.0951 ± 0.0001
b0.9999
r3.3447
VD(3755.8,24458.9,25372.9)
UD(587.4,601.3,608.0)
0.02%sym
A 10c-Skyrmion chain attached to a deformed 6a-Skyrmion.
16az ε1.0951 ± 0.0001
b0.9999
r2.7664
VD(8714.5,10945.5,16655.5)
UD(591.0,596.1,623.8)
0.14%sym
A long chain with a sharp bend in it.
16ba ε1.0951 ± 0.0001
b0.9999
r2.8059
VD(7602.0,12625.6,17203.9)
UD(591.1,613.1,604.9)
0.73%sym
Two cubes attached to out-of-phase graphene.
16bb ε1.0951 ± 0.0001
b0.9999
r2.6333
VD(8271.5,9568.2,15131.5)
UD(622.9,580.8,596.8)
0.02%symC1h
Symmetric graphene.
16bc ε1.0951 ± 0.0001
b0.9999
r2.8977
VD(5963.9,15446.8,18383.3)
UD(596.6,613.9,608.0)
0.14%symC1h
The triangular 12h-Skyrmion with one cube replaced by a 8a-Skyrmion chain.
16bd ε1.0951 ± 0.0001
b0.9999
r3.1028
VD(4732.0,19690.2,21564.1)
UD(588.2,609.0,603.6)
0.16%symC1h
Two cubes attached to symmetric graphene.
16be ε1.0952 ± 0.0001
b0.9999
r2.5712
VD(8548.3,8738.1,13966.8)
UD(621.3,586.1,598.1)
0.16%symC1h
Two long pieces of out-of-phase graphene, attached symmetrically.
16bf ε1.0952 ± 0.0001
b0.9999
r2.8623
VD(5757.4,15283.6,17930.9)
UD(616.8,582.5,595.3)
0.02%symC1h
Two cubes and a single Skyrmion attached to a 7a-Skyrmion.
16bg ε1.0952 ± 0.0001
b0.9999
r2.8586
VD(5426.7,16628.8,16703.3)
UD(594.9,581.5,578.9)
0.61%symC1h
A 9b-Skyrmion loosely attached to a 7a-Skyrmion.
16bh ε1.0952 ± 0.0001
b0.9999
r2.6437
VD(6954.9,11235.5,14935.3)
UD(580.0,599.4,627.8)
0.38%sym
Asymmetric graphene.
16bi ε1.0952 ± 0.0001
b0.9999
r2.6132
VD(7870.5,9738.2,14611.8)
UD(578.7,632.5,603.2)
0.28%symC1h
Two cubes, attached to a long deformed chain.
16bj ε1.0953 ± 0.0001
b0.9999
r2.5941
VD(7938.4,9610.8,14335.2)
UD(618.6,589.6,594.4)
0.10%sym
Almost-symmetric graphene.
16bk ε1.0953 ± 0.0001
b0.9999
r3.0197
VD(4773.1,19068.8,19570.8)
UD(586.7,603.7,596.1)
0.04%sym
A 6a-Skyrmion attached to symmetric graphene.
16bl ε1.0953 ± 0.0001
b0.9999
r2.5946
VD(7904.5,9610.3,14401.4)
UD(614.9,588.5,597.8)
0.02%sym
Almost-symmetric graphene.
16bm ε1.0953 ± 0.0001
b0.9999
r2.7913
VD(6803.3,13128.0,17173.2)
UD(622.0,595.4,584.2)
0.40%sym
A cube attached to asymmetric graphene.
16bn ε1.0953 ± 0.0001
b0.9999
r2.7508
VD(7383.9,12301.1,16248.6)
UD(582.2,601.7,632.2)
0.65%sym
A 6a-Skyrmion attached to a 10c-Skyrmion chain.
16bo ε1.0953 ± 0.0001
b0.9999
r2.6300
VD(6165.0,13176.4,13197.0)
UD(598.4,587.0,584.8)
0.32%sym
A 9b-Skyrmion loosely attached to a 7a-Skyrmion.
16bp ε1.0953 ± 0.0001
b0.9999
r2.8378
VD(6280.3,14336.9,17693.3)
UD(602.7,599.7,589.8)
0.55%symC1h
A cube attached to symmetric graphene.
16bq ε1.0953 ± 0.0001
b0.9999
r2.9994
VD(4555.1,18382.8,19983.8)
UD(613.7,586.2,588.9)
0.02%symC1h
A 5a-Skyrmion attached to symmetric graphene.
16br ε1.0954 ± 0.0001
b0.9999
r2.5948
VD(6743.6,10639.5,14255.6)
UD(611.5,609.9,582.5)
0.12%symD2h
Symmetric graphene.
16bs ε1.0954 ± 0.0001
b0.9999
r3.0419
VD(5515.9,18205.1,20386.7)
UD(581.7,607.4,603.4)
0.02%symC1h
A 7a-Skyrmion loosely attached to a 9d-Skyrmion.
16bt ε1.0954 ± 0.0001
b0.9999
r2.8989
VD(7022.1,14397.3,18588.2)
UD(593.0,604.6,630.2)
0.14%sym
Four cubes arranged in a "T" tetromino, without symmetry.
16bu ε1.0954 ± 0.0001
b0.9999
r2.7362
VD(5870.9,13411.7,16279.3)
UD(581.2,602.1,612.4)
0.16%symC1h [R. Battye and P. Sutcliffe, Phys. Rev. C73, 055205 (2006)]
Symmetric graphene.
16bv ε1.0954 ± 0.0001
b0.9999
r2.6971
VD(6998.2,11999.4,15527.7)
UD(622.3,594.0,592.3)
0.20%sym
Two 6a-Skyrmions attached via a cube.
16bw ε1.0954 ± 0.0001
b0.9999
r2.8794
VD(6410.7,14773.5,18286.7)
UD(596.4,605.0,607.2)
0.10%symC2v
Two cubes attached to symmetric graphene.
16bx ε1.0955 ± 0.0001
b0.9999
r2.7922
VD(6022.1,14016.3,16965.8)
UD(588.6,601.1,609.6)
0.12%sym
A cube attached to asymmetric graphene.
16by ε1.0955 ± 0.0001
b0.9999
r3.0788
VD(4330.3,19810.1,21069.3)
UD(588.5,600.3,595.2)
0.02%symC1h
A 6a-Skyrmion attached to symmetric graphene.
16bz ε1.0956 ± 0.0001
b0.9999
r2.8103
VD(6410.6,13813.0,17228.4)
UD(596.4,614.5,607.3)
0.04%symC1h
A cube attached to a 12a-Skyrmion. Similar to the 16bt-Skyrmion but with one cube reoriented.
16ca ε1.0956 ± 0.0001
b0.9999
r2.8222
VD(7214.4,13508.8,17126.8)
UD(620.8,590.5,589.7)
0.32%symC1h
A 7a-Skyrmion loosely attached to a 9e-Skyrmion.
16cb ε1.0956 ± 0.0001
b0.9999
r2.9506
VD(4608.3,17605.4,19238.7)
UD(585.5,602.8,602.3)
0.49%symC1h
A cube attached to symmetric graphene.
16cc ε1.0956 ± 0.0001
b0.9999
r2.9109
VD(4853.5,16809.9,18697.6)
UD(584.0,605.5,607.0)
0.20%symC1h
A cube attached to symmetric graphene.
16cd ε1.0957 ± 0.0001
b0.9999
r2.7213
VD(7176.1,11994.3,16033.3)
UD(626.9,586.9,599.8)
0.18%sym
Two 6a-Skyrmions attached via a cube.
16ce ε1.0957 ± 0.0001
b0.9999
r2.7398
VD(5906.2,13410.9,16335.0)
UD(615.9,583.3,594.5)
0.08%sym
A cube attached to almost-symmetric graphene. The presence of the cube seems to destroy the reflection symmetry.
16cf ε1.0957 ± 0.0001
b0.9999
r2.7370
VD(5410.8,13803.9,16487.7)
UD(601.3,578.8,586.9)
0.06%symD2h
Symmetric graphene.
16cg ε1.0957 ± 0.0001
b0.9999
r2.6093
VD(8062.7,10216.2,14011.0)
UD(622.6,592.7,593.6)
0.65%symC1h
A cube attached to the 12ab-Skyrmion, which looks like two 6a-Skyrmions.
16ch ε1.0957 ± 0.0001
b0.9999
r2.8867
VD(5142.2,16193.7,18356.4)
UD(590.4,600.8,598.7)
0.16%symC1h
A cube attached to symmetric graphene.
16ci ε1.0957 ± 0.0001
b0.9999
r2.7558
VD(7486.1,12020.5,16467.5)
UD(621.8,591.3,599.9)
0.04%sym
Two 6a-Skyrmions attached via a cube.
16cj ε1.0957 ± 0.0001
b0.9999
r2.8890
VD(4829.7,16591.6,18409.5)
UD(629.1,581.5,584.9)
0.22%sym
A cube attached to almost-symmetric graphene.
16ck ε1.0957 ± 0.0001
b0.9999
r2.6781
VD(5960.0,12592.0,15515.2)
UD(607.2,596.5,589.0)
0.02%sym
Asymmetric graphene.
16cl ε1.0957 ± 0.0001
b0.9999
r2.7798
VD(6211.5,13868.0,16682.4)
UD(617.7,587.2,590.1)
0.18%sym
Graphene with a chain jutting out of it.
16cm ε1.0957 ± 0.0001
b0.9999
r2.6952
VD(7643.9,11007.8,15841.2)
UD(630.4,585.2,592.8)
0.04%symC1h
A cube attached to asymmetric graphene.
16cn ε1.0958 ± 0.0001
b0.9999
r2.7935
VD(6171.7,14262.0,16605.1)
UD(608.9,588.8,597.9)
0.02%sym
The 6a-Skyrmion attached to out-of-phase graphene with baryon number 10, also seen in the 11l-Skyrmion.
16co ε1.0958 ± 0.0001
b0.9999
r2.7992
VD(5136.3,14955.9,17239.5)
UD(606.1,578.1,585.6)
0.04%sym
One half is symmetric graphene; the other is out-of-phase tetravalent graphene.
16cp ε1.0958 ± 0.0001
b0.9999
r2.8663
VD(5860.6,15104.5,18134.9)
UD(614.7,605.6,586.0)
0.10%symC1h
A cube attached to symmetric graphene.
16cq ε1.0958 ± 0.0001
b0.9999
r2.6829
VD(7181.6,12766.1,13923.4)
UD(645.6,588.7,598.4)
0.12%symC1h
The triangular 12h-Skyrmion with another cube stacked on top.
16cr ε1.0958 ± 0.0001
b0.9999
r2.8529
VD(5617.8,15193.9,17954.6)
UD(621.6,601.5,584.1)
0.16%sym
A cube attached to asymmetric graphene.
16cs ε1.0959 ± 0.0001
b0.9999
r3.1275
VD(5572.5,19386.0,21830.4)
UD(590.5,608.9,604.2)
0.10%symC1h
A long chain with a 7a-Skyrmion hinge.
16ct ε1.0959 ± 0.0001
b0.9999
r2.8330
VD(5591.8,15122.4,17547.3)
UD(615.1,596.7,584.7)
0.08%sym
A cube attached to asymmetric graphene.
16cu ε1.0959 ± 0.0001
b0.9999
r3.0938
VD(6114.8,18203.0,21457.0)
UD(586.1,608.1,609.5)
0.06%symC1h
A long, bent chain with a tetrahedral hinge.
16cv ε1.0959 ± 0.0001
b0.9999
r3.0185
VD(4616.8,18510.9,20422.7)
UD(587.1,601.7,600.1)
0.12%sym
A 6a-Skyrmion attached to asymmetric graphene.
16cw ε1.0960 ± 0.0001
b0.9999
r2.6334
VD(7813.6,10501.6,14619.4)
UD(619.4,587.7,600.1)
0.22%sym
Two 6a-Skyrmions attached via a cube.
16cx ε1.0960 ± 0.0001
b0.9999
r3.1879
VD(5419.2,20273.8,22937.1)
UD(627.1,587.0,598.2)
0.02%symC1h
A long, bent chain with a tetrahedral hinge.
16cy ε1.0960 ± 0.0001
b0.9999
r2.9450
VD(5810.5,16993.3,18562.5)
UD(590.0,600.5,606.1)
0.44%sym
Two cubes attached to a fullerene structure.
16cz ε1.0961 ± 0.0001
b0.9999
r3.0298
VD(5127.2,18214.7,20377.3)
UD(592.0,598.0,638.2)
0.02%sym
Four cubes arranged in a "S" tetromino, without symmetry.
16da ε1.0961 ± 0.0001
b0.9999
r3.0021
VD(4418.0,18506.9,20198.3)
UD(626.4,589.7,581.2)
0.04%sym
A cube attached to symmetric graphene.
16db ε1.0961 ± 0.0001
b0.9999
r3.0666
VD(4848.4,19477.2,20551.9)
UD(624.9,593.1,593.3)
0.20%symC2
A long deformed chain.
16dc ε1.0962 ± 0.0001
b0.9999
r2.8449
VD(5959.1,14745.7,17838.9)
UD(589.7,602.9,610.9)
0.02%symC1h
A cube attached to symmetric graphene.
16dd ε1.0962 ± 0.0001
b0.9999
r2.9571
VD(6610.7,16151.6,18884.3)
UD(593.3,618.3,606.0)
0.16%sym
A 6a-Skyrmion attached to a chain 10c-Skyrmion.
16de ε1.0963 ± 0.0001
b0.9999
r2.7838
VD(6096.9,14446.1,16331.9)
UD(590.8,617.7,606.0)
0.04%sym
Two 8a-Skyrmions loosely attached to one another, without symmetry.
16df ε1.0965 ± 0.0001
b0.9999
r2.5091
VD(8789.4,8900.9,11932.7)
UD(632.2,590.5,598.5)
0.71%sym
Two 6a-Skyrmions attached via a cube.
16dg ε1.0965 ± 0.0001
b0.9999
r3.3406
VD(3313.3,25110.2,25158.7)
UD(587.1,610.4,600.6)
0.04%sym
A deformed chain, or a chain made from a cube, 7a-Skyrmion and a 5a-Skyrmion. The reflection symmetries of each part are not compatible.
16dh ε1.0965 ± 0.0001
b0.9999
r2.5602
VD(7039.1,10730.2,13058.6)
UD(627.4,587.6,589.6)
0.02%symC1h
Two cubes attached to a 7a-Skyrmion, stabilized by a single Skyrmion.
16di ε1.0967 ± 0.0001
b0.9999
r2.5783
VD(8442.4,9028.8,13771.4)
UD(584.0,624.6,606.7)
0.02%symC1h
An unusual solution: two distinct cubes and a single Skyrmion can be seen.
16dj ε1.0968 ± 0.0001
b0.9999
r2.6638
VD(8084.7,10523.9,15143.1)
UD(623.9,605.0,585.7)
0.04%symC1h
Two 6a-Skyrmions attached via a cube, with a reflection symmetry.
16dk ε1.0969 ± 0.0001
b0.9999
r2.7185
VD(9896.3,10574.3,14640.3)
UD(598.8,615.3,620.0)
0.16%symC3v
Four cubes arranged in a flattened tetrahedron. Note: this is not the well known tetrahedral configuration [R. Battye, N. S. Manton and P. Sutcliffe, Proc. Roy. Soc. Lond. A463, 261-279 (2007)].
16dl ε1.0969 ± 0.0001
b0.9999
r2.4732
VD(7536.2,9609.1,11635.0)
UD(628.7,587.4,595.6)
0.14%sym
Several shell-like structures surrounding a single Skyrmion.
16dm ε1.0970 ± 0.0001
b0.9999
r2.6558
VD(7732.5,10991.7,14728.6)
UD(621.7,602.9,594.0)
0.08%sym
Two 6a-Skyrmions attached via a cube.
16dn ε1.0970 ± 0.0001
b0.9999
r2.4922
VD(7170.4,9359.2,12309.8)
UD(632.3,593.4,608.5)
0.24%symC1h
A flat solution with a 2-torus and a single Skyrmion in its center.
16do ε1.0971 ± 0.0001
b0.9999
r2.9184
VD(5860.8,15881.3,18963.7)
UD(615.6,595.0,599.2)
0.02%symC1h
Two cubes attached to symmetric graphene.
16dp ε1.0971 ± 0.0001
b0.9999
r3.0987
VD(4723.5,19746.2,21454.5)
UD(594.7,607.9,604.3)
0.02%sym
A deformed chain with a tetrahedral hinge.
16dq ε1.0971 ± 0.0001
b0.9999
r3.1147
VD(4411.3,20240.3,21774.3)
UD(594.2,602.5,608.0)
0.02%symC1h
The 9a-Skyrmion attached to a chain-like 7-Skyrmion.
16dr ε1.0971 ± 0.0001
b0.9999
r2.4004
VD(7870.1,7971.7,10897.3)
UD(582.2,617.6,645.7)
0.10%symC2v
A 2-torus attached to a flat structure made from four tetrahedron and another 2-torus.
16ds ε1.0972 ± 0.0001
b0.9999
r2.4266
VD(7153.4,9151.6,11003.0)
UD(638.4,612.7,593.3)
0.08%sym
A 2-torus attached to a flat structure.
16dt ε1.0972 ± 0.0001
b0.9999
r2.4287
VD(7448.4,8894.2,10975.2)
UD(592.2,621.2,621.9)
0.12%sym
A conglomerate of Skyrmion clusters.
16du ε1.0972 ± 0.0001
b0.9999
r2.6785
VD(6819.2,12290.5,14971.2)
UD(623.5,587.8,598.1)
0.02%sym
An 8a-Skyrmion attached to a 8d-Skyrmion.
16dv ε1.0972 ± 0.0001
b0.9999
r2.4421
VD(8023.0,8231.6,11381.1)
UD(597.3,617.5,622.1)
0.04%symC1h
Three-dimensional graphene.
16dw ε1.0972 ± 0.0001
b0.9999
r2.4570
VD(7857.8,8453.3,11684.5)
UD(594.5,621.0,622.0)
0.06%sym
Three-dimensional graphene.
16dx ε1.0973 ± 0.0001
b0.9999
r2.4593
VD(7496.5,8901.0,11769.3)
UD(639.3,609.1,586.5)
0.06%sym
Three-dimensional graphene.
16dy ε1.0973 ± 0.0001
b0.9999
r2.8139
VD(5393.1,15789.4,16422.4)
UD(595.1,582.3,584.8)
0.02%sym
An 8b-Skyrmion attached to a 8c-Skyrmion, with approximate C1h symmetry.
16dz ε1.0974 ± 0.0001
b0.9999
r2.3916
VD(7687.1,8265.8,10524.1)
UD(584.3,627.1,624.1)
0.06%symC1h
A 2-torus attached to a flat structure, with approximate C3 symmetry.
16ea ε1.0974 ± 0.0001
b0.9999
r2.4772
VD(6973.2,9630.0,11901.9)
UD(623.3,616.3,596.9)
0.08%sym
A flat solution with a 2-torus and a single Skyrmion in its center.
16eb ε1.0974 ± 0.0001
b0.9999
r2.6853
VD(6482.0,13416.1,14327.7)
UD(630.5,592.0,584.7)
0.06%sym
A 6a-Skyrmion attached to a deformed hinge-like configuration.
16ec ε1.0974 ± 0.0001
b0.9999
r2.6746
VD(6527.8,13209.2,14207.3)
UD(630.0,585.0,592.0)
0.16%sym
A 6a-Skyrmion and a cube attached to graphene.
16ed ε1.0976 ± 0.0001
b0.9999
r2.4780
VD(8064.6,8427.8,12121.4)
UD(619.2,604.9,611.4)
0.02%sym
A flat solution with a single Skyrmion in its center, with approximate C1h symmetry.
16ee ε1.0976 ± 0.0001
b0.9999
r2.5140
VD(7632.4,10209.6,11937.7)
UD(631.7,588.1,594.5)
0.02%symC2
Two cubes attached to a 8d-Skyrmion.
16ef ε1.0977 ± 0.0001
b0.9999
r2.5402
VD(7052.0,10757.2,12583.8)
UD(587.9,609.9,607.0)
0.02%sym
A 9a-Skyrmion attached to a long 7-Skyrmion, which was also seen in the 16dq-Skyrmion.
16eg ε1.0977 ± 0.0001
b0.9999
r2.4871
VD(8392.0,10255.3,10262.9)
UD(637.1,601.4,608.0)
0.02%symC1h
A cube attached to the 12d-Skyrmion.
16eh ε1.0978 ± 0.0001
b0.9999
r2.7710
VD(6574.0,14223.0,15813.4)
UD(617.0,585.3,591.8)
0.02%sym
A cube attached to asymmetric graphene.
16ei ε1.0978 ± 0.0001
b0.9999
r2.3953
VD(7664.3,8195.5,10802.7)
UD(576.0,631.4,633.2)
0.02%symC1h
A 2-torus attached to a flat structure.
16ej ε1.0981 ± 0.0001
b0.9999
r2.9277
VD(5447.2,17255.6,18197.3)
UD(605.3,583.6,574.0)
0.04%symC1h
An 8b-Skyrmion loosely attached to a 8c-Skyrmion.
16ek ε1.0982 ± 0.0001
b0.9999
r2.6181
VD(8487.1,11849.9,12078.2)
UD(590.5,630.4,620.3)
0.02%symC2v
Two cubes attached to a 8a-Skyrmion.
16el ε1.0983 ± 0.0001
b0.9999
r2.4420
VD(7693.4,9760.6,10520.1)
UD(637.0,591.2,599.3)
0.02%symC1h
A three-dimensional structure made from many deformed smaller Skyrmions.
16em ε1.0983 ± 0.0001
b0.9999
r2.6804
VD(7684.0,12240.2,14308.7)
UD(586.7,611.8,604.5)
0.02%sym
Two cubes attached to graphene.
16en ε1.0987 ± 0.0001
b0.9999
r2.4276
VD(6672.6,10147.9,10514.0)
UD(605.5,619.4,626.6)
0.02%symC2v
A 2-torus attached to a flat structure.
16eo ε1.0990 ± 0.0001
b0.9999
r2.7616
VD(7496.9,13133.1,15851.0)
UD(631.3,589.6,594.0)
0.02%sym
A cube attached to a deformed chain.
16ep ε1.1001 ± 0.0001
b0.9999
r2.3411
VD(7662.8,7673.8,9712.1)
UD(643.4,616.2,621.7)
0.06%symC1h
A solution containing many distinct single Skyrmions.
16eq ε1.1003 ± 0.0001
b0.9999
r2.3577
VD(6578.2,8720.5,10101.1)
UD(633.8,630.7,616.1)
0.02%symD2
A solution containing ten distinct single Skyrmions.