C60a
Forfatter/Opretter:
The original uploader was Mstroeck at engelsk Wikipedia.
Later versions were uploaded by Bryn C at en.wikipedia.
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Transferred from en.wikipedia to Commons.
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627 x 614 Pixel (149402 Bytes)
beskrivelse:
A 3D model of a en:C60 molecule, also called a "Buckyball". Created by Michael Ströck (mstroeck) on February 6, 2006 in iMol for Mac OS X and Photoshop CS2. Released under the .
Code for generation of the core coordinates:
d=0.140 %double bond s=0.146 %single bond = pentagon bond r=s/2/sin(2*pi/10) %radius of pentagon phi=(sqrt(5)+1)/2 %golden ratio p=sqrt(phi^2+1) %Pythagoras. Somehow I need this often c_c=r*phi+d/2*p %Penta center from icosahedron center distance rota=[phi 0 1 ; 0 p 0 ; 1 0 -phi ] / p %Rotation from mirror plane to 5 fold axis figure(1) plot3(0, 0, 0, '*') hold on for i_r3=0:2 trafo_r3=([0 1 2 ; 1 2 0 ; 2 0 1]==ones(3)*i_r3); for i_m2=-1:2:1 %mirror plane (-1)^i trafo_m2=trafo_r3*[1 0 0 ; 0 1 0 ; 0 0 i_m2]; for i_m1=-1:2:1 %mirror plane (-1)^i trafo_m1=trafo_m2*[i_m1 0 0 ; 0 1 0 ; 0 0 1]; for i_p=0:4 %5 fold rotation (i/5*360) trafo_p=trafo_m1*rota; v=trafo_p*([-cos(2*pi * (i_p/5))*r ; sin(2*pi * (i_p/5))*r ; c_c ]); plot3( v(1), v(2), v(3), 'o' , 'markersize' , 30 , 'MarkerFaceColor',trafo_r3(1,:) ); end end end end
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Creative Commons Attribution-Share Alike 3.0
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