Polyhedra with Octahedral Symmetry
Table 1-8
: Polyhedra having octahedral symmetry.
n=6
0.523598775598
1
O
h
0.523598775598
minvol.6.txt
minvol.6.off
minvol.6.3d
n=8
0.637349714015
1
O
h
0.604599788078
octsym.8.txt
octsym.8.off
octsym.8.3d
n=12
0.754697399337
1
O
h
0.740480489694
rhombicdodecahedron.txt
rhombicdodecahedron.off
rhombicdodecahedron.3d
n=14
0.788894402368
1
O
h
0.781638893326
octsym.14.txt
octsym.14.off
octsym.14.3d
n=18
0.834942754338
1
O
h
0.823218074449
octsym.18.txt
octsym.18.off
octsym.18.3d
n=20
0.851179828648
1
O
h
0.784085714772
tetsym.20_3.txt
tetsym.20_3.off
tetsym.20_3.3d
n=24
0.875650339164
1
O
0.873501076099
octsym.24.txt
octsym.24.off
octsym.24.3d
2
O
h
0.870043643415
tetsym.24_2.txt
tetsym.24_2.off
tetsym.24_2.3d
3
O
h
0.846148922757
tetsym.24_3.txt
tetsym.24_3.off
tetsym.24_3.3d
4
O
h
0.797049720831
tetsym.24_4.txt
tetsym.24_4.off
tetsym.24_4.3d
n=26
0.885098414627
1
O
h
0.876811430883
octsym.26.txt
octsym.26.off
octsym.26.3d
n=30
0.900256896589
1
O
0.896930384030
octsym.30.txt
octsym.30.off
octsym.30.3d
2
O
h
0
0.891800871415
octsym.30_2.txt
octsym.30_2.off
octsym.30_2.3d
n=36
0.916735796857
1
O
h
0.906732857883
octsym.36.txt
octsym.36.off
octsym.36.3d
n=38
0.921082160244
1
O
h
0.917445003352
octsym.38.txt
octsym.38.off
octsym.38.3d
n=48
0.937417126110
1
O
0.936779167379
octsym.48_1.txt
octsym.48_1.off
octsym.48_1.3d
2
O
h
0.916032812036
tetsym.48_4.txt
tetsym.48_4.off
tetsym.48_4.3d
n=50
0.939905005491
1
O
h
0.938021543359
tetsym.50_2.txt
tetsym.50_2.off
tetsym.50_2.3d
n=54
0.944331119684
1
O
0.942664343757
octsym.54.txt
octsym.54.off
octsym.54.3d
2
O
0.942648507474
tetsym.54_2.txt
tetsym.54_2.off
tetsym.54_2.3d
n=56
0.946308390471
1
O
0.944310426346
octsym.56_1.txt
octsym.56_1.off
octsym.56_1.3d
n=60
0.949869537255
1
O
h
0.949328081785
octsym.60_1.txt
octsym.60_1.off
octsym.60_1.3d
n=66
0.954405726300
1
O
0.952728804072
tetsym.66_2.txt
tetsym.66_2.off
tetsym.66_2.3d
n=72
0.958189143332
1
O
0.957763442358
octsym.72_1.txt
octsym.72_1.off
octsym.72_1.3d
n=74
0.959314513146
1
O
h
0.956305721941
tetsym.74_2.txt
tetsym.74_2.off
tetsym.74_2.3d
n=78
0.961392804377
1
O
h
0.960624290605
octsym.78.txt
octsym.78.off
octsym.78.3d
2
O
0.960298831197
tetsym.78_3.txt
tetsym.78_3.off
tetsym.78_3.3d
3
O
h
0.959690245077
tetsym.78_4.txt
tetsym.78_4.off
tetsym.78_4.3d
n=84
0.964140479721
1
O
h
0.963016860244
octsym.84_1.txt
octsym.84_1.off
octsym.84_1.3d
n=86
0.964971477096
1
O
h
0.964386506791
octsym.86.txt
octsym.86.off
octsym.86.3d
2
O
0.963167443387
octsym.86_1.txt
octsym.86_1.off
octsym.86_1.3d
n=92
0.967248411057
1
O
0.966231450971
octsym.92_1.txt
octsym.92_1.off
octsym.92_1.3d
n=96
0.968608751832
1
O
0.967861355068
octsym.96_1.txt
octsym.96_1.off
octsym.96_1.3d
n=98
0.969247409294
1
O
0.968322905542
tetsym.98_2.txt
tetsym.98_2.off
tetsym.98_2.3d
n=102
0.970449813463
1
O
0.970044176909
octsym.102_1.txt
octsym.102_1.off
octsym.102_1.3d
2
O
0.969495418237
tetsym.102_3.txt
tetsym.102_3.off
tetsym.102_3.3d
n=110
0.972593008064
1
O
h
0.971858754922
tetsym.110_4.txt
tetsym.110_4.off
tetsym.110_4.3d
2
O
h
0.971675682422
tetsym.110_6.txt
tetsym.110_6.off
tetsym.110_6.3d
3
O
0.971667901518
tetsym.110_7.txt
tetsym.110_7.off
tetsym.110_7.3d
n=114
0.973552107682
1
O
0.972845406859
tetsym.114_6.txt
tetsym.114_6.off
tetsym.114_6.3d
n=122
0.975282102963
1
O
h
0.974999635061
octsym.122_1.txt
octsym.122_1.off
octsym.122_1.3d
n=134
0.977490663230
1
O
0.976970965736
tetsym.134_2.txt
tetsym.134_2.off
tetsym.134_2.3d
2
O
0.976206391467
tetsym.134_7.txt
tetsym.134_7.off
tetsym.134_7.3d
n=138
0.978141682969
1
O
0.977322016325
tetsym.138_10.txt
tetsym.138_10.off
tetsym.138_10.3d
n=146
0.979336927986
1
O
0.978880151650
tetsym.146_7.txt
tetsym.146_7.off
tetsym.146_7.3d
2
O
h
0.978721323905
tetsym.146_10.txt
tetsym.146_10.off
tetsym.146_10.3d
3
O
h
0.978389934927
tetsym.146_13.txt
tetsym.146_13.off
tetsym.146_13.3d
n=150
0.979886837362
1
O
0.979475084655
tetsym.150_10.txt
tetsym.150_10.off
tetsym.150_10.3d
2
O
0.979453638896
tetsym.150_11.txt
tetsym.150_11.off
tetsym.150_11.3d
3
O
0.979373564892
tetsym.150_16.txt
tetsym.150_16.off
tetsym.150_16.3d
n=158
0.980903285786
1
O
0.980412071895
tetsym.158_10.txt
tetsym.158_10.off
tetsym.158_10.3d
2
O
0.980318924851
tetsym.158_12.txt
tetsym.158_12.off
tetsym.158_12.3d
3
O
h
0.980298400948
tetsym.158_14.txt
tetsym.158_14.off
tetsym.158_14.3d
4
O
0.980160102132
tetsym.158_15.txt
tetsym.158_15.off
tetsym.158_15.3d
n=162
0.981373934136
1
O
0.980982418881
tetsym.162_13.txt
tetsym.162_13.off
tetsym.162_13.3d
n=170
0.982248904644
1
O
0.981588949911
tetsym.170_20.txt
tetsym.170_20.off
tetsym.170_20.3d
n=182
0.983417374137
1
O
0.983132823584
tetsym.182_4.txt
tetsym.182_4.off
tetsym.182_4.3d
2
O
0.983127465614
tetsym.182_5.txt
tetsym.182_5.off
tetsym.182_5.3d
n=186
0.983773413896
1
O
h
0.983287339882
tetsym.186_40.txt
tetsym.186_40.off
tetsym.186_40.3d
n=194
0.984441515817
1
O
h
0.984056675184
tetsym.194_24.txt
tetsym.194_24.off
tetsym.194_24.3d
2
O
h
0.983947577768
tetsym.194_25.txt
tetsym.194_25.off
tetsym.194_25.3d
3
O
0.983939954475
tetsym.194_27.txt
tetsym.194_27.off
tetsym.194_27.3d
4
O
h
0.983935265703
tetsym.194_29.txt
tetsym.194_29.off
tetsym.194_29.3d
5
O
h
0.983658982621
tetsym.194_32.txt
tetsym.194_32.off
tetsym.194_32.3d
n=198
0.984755352127
1
O
0.984520740302
tetsym.198_9.txt
tetsym.198_9.off
tetsym.198_9.3d
2
O
0.984514359199
tetsym.198_13.txt
tetsym.198_13.off
tetsym.198_13.3d
3
O
0.984379475415
tetsym.198_49.txt
tetsym.198_49.off
tetsym.198_49.3d
4
O
0.984360481138
tetsym.198_53.txt
tetsym.198_53.off
tetsym.198_53.3d
5
O
h
0.984324796577
tetsym.198_60.txt
tetsym.198_60.off
tetsym.198_60.3d
6
O
0.984291820967
tetsym.198_62.txt
tetsym.198_62.off
tetsym.198_62.3d
n=206
0.985346514840
1
O
0.985124696634
tetsym.206_9.txt
tetsym.206_9.off
tetsym.206_9.3d
2
O
0.984973976916
tetsym.206_29.txt
tetsym.206_29.off
tetsym.206_29.3d
3
O
h
0.984938755593
tetsym.206_30.txt
tetsym.206_30.off
tetsym.206_30.3d
n=210
0.985625230090
1
O
0.985422201211
tetsym.210_12.txt
tetsym.210_12.off
tetsym.210_12.3d
n=218
0.986152018771
1
O
0.985837465671
tetsym.218_31.txt
tetsym.218_31.off
tetsym.218_31.3d
n=222
0.986401194906
1
O
0.986213563344
tetsym.222_11.txt
tetsym.222_11.off
tetsym.222_11.3d
2
O
0.986208184144
tetsym.222_13.txt
tetsym.222_13.off
tetsym.222_13.3d
3
O
0.986089581466
tetsym.222_72.txt
tetsym.222_72.off
tetsym.222_72.3d
4
O
0.986077982593
tetsym.222_77.txt
tetsym.222_77.off
tetsym.222_77.3d
5
O
0.985974646152
tetsym.222_83.txt
tetsym.222_83.off
tetsym.222_83.3d
6
O
0.985964627671
tetsym.222_84.txt
tetsym.222_84.off
tetsym.222_84.3d
7
O
h
0.985962645706
tetsym.222_85.txt
tetsym.222_85.off
tetsym.222_85.3d
n=230
0.986873580241
1
O
0.986665835738
tetsym.230_8.txt
tetsym.230_8.off
tetsym.230_8.3d
2
O
h
0.986576425190
tetsym.230_71.txt
tetsym.230_71.off
tetsym.230_71.3d
3
O
0.986565456934
tetsym.230_76.txt
tetsym.230_76.off
tetsym.230_76.3d
4
O
h
0.986483888600
tetsym.230_93.txt
tetsym.230_93.off
tetsym.230_93.3d
5
O
h
0.986411585491
tetsym.230_99.txt
tetsym.230_99.off
tetsym.230_99.3d
n=246
0.987726290981
1
O
0.987575218205
tetsym.246_14.txt
tetsym.246_14.off
tetsym.246_14.3d
2
O
0.987575154711
tetsym.246_15.txt
tetsym.246_15.off
tetsym.246_15.3d
n=254
0.988112408533
1
O
0.987969607750
tetsym.254_6.txt
tetsym.254_6.off
tetsym.254_6.3d
2
O
0.987878410371
tetsym.254_79.txt
tetsym.254_79.off
tetsym.254_79.3d
3
O
0.987871719779
tetsym.254_95.txt
tetsym.254_95.off
tetsym.254_95.3d
4
O
h
0.987871274886
tetsym.254_96.txt
tetsym.254_96.off
tetsym.254_96.3d
n=258
0.988296498300
1
O
0.988160235865
tetsym.258_17.txt
tetsym.258_17.off
tetsym.258_17.3d
2
O
0.988156535632
tetsym.258_21.txt
tetsym.258_21.off
tetsym.258_21.3d
n=266
0.988648087008
1
O
0.988450965121
tetsym.266_48.txt
tetsym.266_48.off
tetsym.266_48.3d
2
O
0.988437213641
tetsym.266_75.txt
tetsym.266_75.off
tetsym.266_75.3d
3
O
0.988425548324
tetsym.266_93.txt
tetsym.266_93.off
tetsym.266_93.3d
n=270
0.988816076980
1
O
0.988691787418
tetsym.270_22.txt
tetsym.270_22.off
tetsym.270_22.3d
2
O
0.988687526028
tetsym.270_29.txt
tetsym.270_29.off
tetsym.270_29.3d
n=278
0.989137569871
1
O
0.989019870637
tetsym.278_7.txt
tetsym.278_7.off
tetsym.278_7.3d
2
O
0.988958601070
tetsym.278_58.txt
tetsym.278_58.off
tetsym.278_58.3d
n=290
0.989586585783
1
O
0.989476115570
tetsym.290_14.txt
tetsym.290_14.off
tetsym.290_14.3d
2
O
0.989473229651
tetsym.290_16.txt
tetsym.290_16.off
tetsym.290_16.3d
n=318
0.990502627403
1
O
0.990408047601
tetsym.318_11.txt
tetsym.318_11.off
tetsym.318_11.3d
2
O
0.990407942147
tetsym.318_12.txt
tetsym.318_12.off
tetsym.318_12.3d
3
O
0.990407364952
tetsym.318_14.txt
tetsym.318_14.off
tetsym.318_14.3d
4
O
0.990407230483
tetsym.318_15.txt
tetsym.318_15.off
tetsym.318_15.3d
n=326
0.990735477916
1
O
0.990645232606
tetsym.326_7.txt
tetsym.326_7.off
tetsym.326_7.3d
2
O
0.990643381860
tetsym.326_9.txt
tetsym.326_9.off
tetsym.326_9.3d
n=342
0.991168526839
1
O
0.991084881391
tetsym.342_25.txt
tetsym.342_25.off
tetsym.342_25.3d
2
O
0.991082741599
tetsym.342_32.txt
tetsym.342_32.off
tetsym.342_32.3d
n=354
0.991467645955
1
O
0.991387376509
tetsym.354_22.txt
tetsym.354_22.off
tetsym.354_22.3d
n=366
0.991747166771
1
O
0.991670642407
tetsym.366_39.txt
tetsym.366_39.off
tetsym.366_39.3d
2
O
0.991669048318
tetsym.366_47.txt
tetsym.366_47.off
tetsym.366_47.3d
n=386
0.992174443607
1
O
0.992103354611
tetsym.386_7.txt
tetsym.386_7.off
tetsym.386_7.3d
n=390
0.992254644223
1
O
0.992184678904
tetsym.390_61.txt
tetsym.390_61.off
tetsym.390_61.3d
2
O
0.992184257468
tetsym.390_64.txt
tetsym.390_64.off
tetsym.390_64.3d
n=398
0.992410212879
1
O
0.992341157370
tetsym.398_7.txt
tetsym.398_7.off
tetsym.398_7.3d
2
O
0.992340574412
tetsym.398_9.txt
tetsym.398_9.off
tetsym.398_9.3d
n=402
0.992485677016
1
O
0.992418434363
tetsym.402_49.txt
tetsym.402_49.off
tetsym.402_49.3d
2
O
0.992417545959
tetsym.402_54.txt
tetsym.402_54.off
tetsym.402_54.3d
n=422
0.992841553940
1
O
0.992777886475
tetsym.422_24.txt
tetsym.422_24.off
tetsym.422_24.3d
2
O
0.992776784558
tetsym.422_26.txt
tetsym.422_26.off
tetsym.422_26.3d
3
O
0.992773226196
tetsym.422_38.txt
tetsym.422_38.off
tetsym.422_38.3d
n=438
0.993102871352
1
O
0.993040634608
tetsym.438_91.txt
tetsym.438_91.off
tetsym.438_91.3d
n=450
0.993286672712
1
O
0.993226722807
tetsym.450_66.txt
tetsym.450_66.off
tetsym.450_66.3d
2
O
0.993225825308
tetsym.450_77.txt
tetsym.450_77.off
tetsym.450_77.3d
n=462
0.993460932136
1
O
0.993403687082
tetsym.462_57.txt
tetsym.462_57.off
tetsym.462_57.3d
2
O
0.993403647160
tetsym.462_58.txt
tetsym.462_58.off
tetsym.462_58.3d
n=470
0.993572164703
1
O
0.993515798801
tetsym.470_71.txt
tetsym.470_71.off
tetsym.470_71.3d
2
O
0.993515614203
tetsym.470_72.txt
tetsym.470_72.off
tetsym.470_72.3d
n=542
0.994425576560
1
O
0.994376561946
tetsym.542_82.txt
tetsym.542_82.off
tetsym.542_82.3d
Wayne Deeter
-
wrd@deetour.net
Last modified: December 3, 2019