Distribution of 26,668,666,740,001 atoms in a quasicrystal

The Magic Numbers of Ih Quasicrystal Beyond 20,000 shells | Zenodo

n denotes the number of shells, N_V, N_E and N_F denote the number of atoms at vertices, edges and faces respectively; Nn denotes the number of atoms in nth shell; N_QC denotes the number of atoms of QC with n shells; the last column is the number of atoms divided by 13.

n Shell Lattice Model for Qusicrystal

https://zenodo.org/records/23062616

Shell,Vertex ,Edge  ,  Face  ,Nn(shell)

n=1,NV=12,NE=0,NF=0,Nn=12

    N(QC)=13, N(QC)/13=1

n=2,NV=12,NE=30,NF = ,0,Nn=42

    N(QC)= ,55,N(QC)/13= ,4.2307692308

n=3,NV=12,NE=60,NF=20,Nn=92

    N(QC)=147,N(QC)/13=11.3076923076923

n=4,NV=12,NE=90,NF=60,Nn=162

    N(QC)=309,N(QC)/13=23.7692307692308

n=5,NV=12,NE=120,NF=120,Nn=252

    N(QC)=561,N(QC)/13=43.1538461538462

n=6,NV=12,NE=150,NF=200,Nn=362

    N(QC)=923,N(QC)/13=71

n=7,NV=12,NE=180,NF=300,Nn=492

    N(QC)=1415,N(QC)/13=108.846153846154

n=8,NV=12,NE=210,NF=420,Nn=642

    N(QC)=2057,N(QC)/13=158.230769230769

n=9,NV=12,NE=240,NF=560,Nn=812

    N(QC)=2869,N(QC)/13=220.692307692308

n=10,NV=12,NE=270,NF=720,Nn=1002

n=100,NV=12,NE=2970,NF=97020,Nn=100002

    N(QC)=3383701,N(QC)/13=260284.692307692

n=101,NV=12,NE=3000,NF=99000,Nn=102012

    N(QC)=3485713,N(QC)/13=268131.769230769

n=102,NV=12,NE=3030,NF=101000,Nn=104042

    N(QC)=3589755,N(QC)/13=276135

n=103,NV=12,NE=3060,NF=103020,Nn=106092

    N(QC)=3695847,N(QC)/13=284295.923076923

n=104,NV=12,NE=3090,NF=105060,Nn=108162

    N(QC)=3804009,N(QC)/13=292616.076923077

n=105,NV=12,NE=3120,NF=107120,Nn=110252

    N(QC)=3914261,N(QC)/13=301097

n=106,NV=12,NE=3150,NF=109200,Nn=112362

    N(QC)=4026623,N(QC)/13=309740.230769231

n=107,NV=12,NE=3180,NF=111300,Nn=114492

    N(QC)=4141115,N(QC)/13=318547.307692308

n=108,NV=12,NE=3210,NF=113420,Nn=116642

    N(QC)=4257757,N(QC)/13=327519.769230769

n=109,NV=12,NE=3240,NF=115560,Nn=118812

    N(QC)=4376569,N(QC)/13=336659.153846154

n=110,NV=12,NE=3270,NF=117720,Nn=121002

n=1000,NV=12,NE=29970,NF=9970020,Nn=10000002

    N(QC)=3338337001,N(QC)/13=256795153.923077

n=1001,NV=12,NE=30000,NF=9990000,Nn=10020012

    N(QC)=3348357013,N(QC)/13=257565924.076923

n=1002,NV=12,NE=30030,NF=10010000,Nn=10040042

    N(QC)=3358397055,N(QC)/13=258338235

n=1003,NV=12,NE=30060,NF=10030020,Nn=10060092

    N(QC)=3368457147,N(QC)/13=259112088.230769

n=1004,NV=12,NE=30090,NF=10050060,Nn=10080162

    N(QC)=3378537309,N(QC)/13=259887485.307692

n=1005,NV=12,NE=30120,NF=10070120,Nn=10100252

    N(QC)=3388637561,N(QC)/13=260664427.769231

n=1006,NV=12,NE=30150,NF=10090200,Nn=10120362

    N(QC)=3398757923,N(QC)/13=261442917.153846

n=1007,NV=12,NE=30180,NF=10110300,Nn=10140492

    N(QC)=3408898415,N(QC)/13=262222955

n=1008,NV=12,NE=30210,NF=10130420,Nn=10160642

    N(QC)=3419059057,N(QC)/13=263004542.846154

n=1009,NV=12,NE=30240,NF=10150560,Nn=10180812

    N(QC)=3429239869,N(QC)/13=263787682.230769

n=1010,NV=12,NE=30270,NF=10170720,Nn=10201002

N(QC)=3439440871,N(QC)/13=264572374.692308

n=10000,NV=12,NE=299970,NF=999700020,Nn=1000000002

    N(QC)=3333833370001,N(QC)/13=256448720769.308

n=10001,NV=12,NE=300000,NF=999900000,Nn=1000200012

    N(QC)=3334833570013,N(QC)/13=256525659231.769

n=10002,NV=12,NE=300030,NF=1000100000,Nn=1000400042

    N(QC)=3335833970055,N(QC)/13=256602613081.154

n=10003,NV=12,NE=300060,NF=1000300020,Nn=1000600092

    N(QC)=3336834570147,N(QC)/13=256679582319

n=10004,NV=12,NE=300090,NF=1000500060,Nn=1000800162

    N(QC)=3337835370309,N(QC)/13=256756566946.846

n=10005,NV=12,NE=300120,NF=1000700120,Nn=1001000252

    N(QC)=3338836370561,N(QC)/13=256833566966.231

n=10006,NV=12,NE=300150,NF=1000900200,Nn=1001200362

    N(QC)=3339837570923,N(QC)/13=256910582378.692

n=10007,NV=12,NE=300180,NF=1001100300,Nn=1001400492

    N(QC)=3340838971415,N(QC)/13=256987613185.769

n=10008,NV=12,NE=300210,NF=1001300420,Nn=1001600642

    N(QC)=3341840572057,N(QC)/13=257064659389

n=10009,NV=12,NE=300240,NF=1001500560,Nn=1001800812

    N(QC)=3342842372869,N(QC)/13=257141720989.923

n=10010,NV=12,NE=300270,NF=1001700720,Nn=1002001002

N(QC)=3343844373871,N(QC)/13=257218797990.077

n=19990,NV=12,NE=599670,NF=3995401320,Nn=3996001002

    N(QC)=26628684737131,N(QC)/13=2048360364394.69

n=19991,NV=12,NE=599700,NF=3995801100,Nn=3996400812

    N(QC)=26632681137943,N(QC)/13=2048667779841.77

n=19992,NV=12,NE=599730,NF=3996200900,Nn=3996800642

    N(QC)=26636677938585,N(QC)/13=2048975226045

n=19993,NV=12,NE=599760,NF=3996600720,Nn=3997200492

    N(QC)=26640675139077,N(QC)/13=2049282703005.92

n=19994,NV=12,NE=599790,NF=3997000560,Nn=3997600362

    N(QC)=26644672739439,N(QC)/13=2049590210726.08

n=19995,NV=12,NE=599820,NF=3997400420,Nn=3998000252

    N(QC)=26648670739691,N(QC)/13=2049897749207

n=19996,NV=12,NE=599850,NF=3997800300,Nn=3998400162

    N(QC)=26652669139853,N(QC)/13=2050205318450.23

n=19997,NV=12,NE=599880,NF=3998200200,Nn=3998800092

    N(QC)=26656667939945,N(QC)/13=2050512918457.31

n=19998,NV=12,NE=599910,NF=3998600120,Nn=3999200042

    N(QC)=26660667139987,N(QC)/13=2050820549229.77

n=19999,NV=12,NE=599940,NF=3999000060,Nn=3999600012

    N(QC)=26664666739999,N(QC)/13=2051128210769.15

n=20000,NV=12,NE=599970,NF=3999400020,Nn=4000000002

N(QC)=26668666740001,N(QC)/13=2051435903077

科学网—The Magic Numbers of Ih Quasicrystal Beyond 20,000 shells - 李世春的博文

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