Description

Construction process

This file was derived from a 3D model of DNA, converted to SVG and coloured using David Eccles' STL2SVG script:

type=orig; ~/scripts/stl2svg.pl ./DNA_linear_complete_helix1.stl:330 ./DNA_linear_complete_helix2.stl:200 ./DNA_linear_complete_${type}_A.stl:140 ./DNA_linear_complete_${type}_C.stl:250 ./DNA_linear_complete_${type}_G.stl:90 ./DNA_linear_complete_${type}_T.stl:30  > out_${type}.svg
type=mut; ~/scripts/stl2svg.pl ./DNA_linear_complete_helix1.stl:330 ./DNA_linear_complete_helix2.stl:200 ./DNA_linear_complete_${type}_A.stl:140 ./DNA_linear_complete_${type}_C.stl:250 ./DNA_linear_complete_${type}_G.stl:90 ./DNA_linear_complete_${type}_T.stl:30  > out_${type}.svg

The DNA models were then combined and annotated using Inkscape. The DNA backbone for the model is a pentagon extruded over a sine wave using David Eccles' guided path extrude script. The model source file (in OpenSCAD format) is shown below:

use <guided_extrude.scad>;

hl = 100; // helix length
hp = 33.2; // helix pitch [in angstroms]
hr = 10; // helix radius [in angstroms]
bbr = 1.5; // backbone radius

loops = hl / hp;

// random bases
//bases = rands(0, 4, ceil(360 * loops / 34.3),1);

// *GRINGENE* -- TAA GGN MGN ATH AAY GGN GAR AAY GAR TGA
//            -- TAA GGC AGG ATC AAC GGC GAG AAC GAG TGA
// A = 0; G = 1; C = 2; T = 3
// [different from my usual order,
//  to simplify the 3D model logic]
bases = [3,3,3, 1,1,2, 0,1,1, 0,3,2, 0,0,2,
         1,1,2, 1,0,1, 0,0,2, 1,0,1, 3,1,0];

bAng = atan2(sin(120) - sin(0), cos(120) - cos(0));

drawMode = "all";

module lineTo(x1, x2){
  hull(){
    translate(x1) sphere(r=0.25, $fn=5);
    translate(x2) sphere(r=0.25, $fn=5);
  }
}

backbone_profile = [for(th = [0:72:359]) [bbr*cos(th),
                                          bbr*sin(th)*1]];

inc = floor($t * 30);
thf = ($t * 30) - inc;
h1limit = (360 * loops);
h1jump = (360 * loops);


helix_1 = [for(th = [(thf*34.3):(34.3/2):h1jump])
  [hr * cos(th), hr * sin(th), hl * th / (360 * loops)]];

helix_2 = [for(th = [120:(34.3/2):(360 * loops+120)])
  [hr * cos(th), hr * sin(th), hl * (th-120) / (360 * loops)]];

module purine(){
  linear_extrude(height=0.75, center=true){
    // average hydrogen bond length in water: 1.97 A
    // https://en.wikipedia.org/wiki/Hydrogen_bond#Structural_details  
    translate([-0.985,0])
      // scale: average of C-C and C=C bond length
      scale(1.435) translate([-2,0]) rotate(12) rotate(18){
        rotate(-30) translate([1,0]) circle(r=1, $fn=6);
        color("blue")
          rotate(36) translate([-1 / (2*sin(36)),0])
            circle(r=1 / (2*sin(36)), $fn=5);
    }
  }
}

module pyrimidine(){
  linear_extrude(height=0.75, center=true){
    // average hydrogen bond length in water: 1.97 A
    // https://en.wikipedia.org/wiki/Hydrogen_bond#Structural_details  
    translate([-0.985,0])
      scale(1.435) translate([-2, 0]) translate([1,0])
         circle(r=1, $fn=6);
  }
}

$vpt = [0, 0, 0];
//$vpr = [310, 105, 10];
$vpr = [0, 0, 0];

rotate([310, 105, 130]) translate([0,0,-hl/2]) {
  if(drawMode == "all" || drawMode == "helix1") color("lightblue")
    mapExtrude("vertCylinder", backbone_profile, helix_1);
  if(drawMode == "all" || drawMode == "helix2") color("pink")
    mapExtrude("vertCylinder", backbone_profile, helix_2);
  for(thb = [inc:(360 * loops / 34.3 + inc)]) {
    thi = thb-inc;
    th = (thi-thf) * 34.3;
    thisBase = bases[floor(thb%30)];
    doPur = (thisBase < 2);
    // base bond has a -1.2° angle;
    // not quite sure how to implement that
    baseFrac = (doPur ? 0.55 : 0.45);
    baseFInv = 1 - baseFrac;
    translate([0,0,hl * th / (360 * loops)]) rotate([-1.2,0,0]){
      if(drawMode == "all" || drawMode == "helix2") color("pink")
        lineTo([hr * cos(th)*(baseFrac-0.15) +
                hr * cos(th+120) * (baseFrac+0.15),
                hr * sin(th)*(baseFrac-0.15) +
                hr * sin(th+120) * (baseFrac+0.15)],
               [hr * cos(th+120), hr * sin(th+120)]);
      if(th < (h1jump))
        if(drawMode == "all" || drawMode == "helix1") color("lightblue")
          lineTo([hr * cos(th), hr * sin(th)],
                 [hr * cos(th)*(baseFrac+0.15) +
                  hr * cos(th+120) * (baseFrac-0.15),
                  hr * sin(th)*(baseFrac+0.15) +
                  hr * sin(th+120) * (baseFrac-0.15)]);
      if(drawMode == "all" ||
         (drawMode == "A" && thisBase == 0) ||
         (drawMode == "G" && thisBase == 1) ||
         (drawMode == "C" && thisBase == 2) ||
         (drawMode == "T" && thisBase == 3)
        )
      color((thisBase < 1) ? "green" : 
            (thisBase < 2) ? "gold"  :
            (thisBase < 3) ? "blue"  :
                             "red")
      translate([hr * cos(th)*baseFrac + hr * cos(th+120) * baseFInv,
                 hr * sin(th)*baseFrac + hr * sin(th+120) * baseFInv])
         rotate(180 + bAng + th) if(doPur) {
            purine(); } else { pyrimidine(); };
      if(drawMode == "all" ||
         (drawMode == "A" && thisBase == 3) ||
         (drawMode == "G" && thisBase == 2) ||
         (drawMode == "C" && thisBase == 1) ||
         (drawMode == "T" && thisBase == 0)
        )
        if(th < (h1jump))
        color((thisBase < 1) ? "red"  : 
              (thisBase < 2) ? "blue" :
              (thisBase < 3) ? "gold" :
                               "green")
        translate([hr * cos(th)*baseFrac + hr * cos(th+120) * baseFInv,
                   hr * sin(th)*baseFrac + hr * sin(th+120) * baseFInv])
           rotate(bAng+th) if(doPur) {
              pyrimidine(); } else { purine(); };
    }
  }
  if(drawMode == "all" || drawMode == "helix1") color("lightblue") {
    translate(helix_1[len(helix_1)-1]) sphere(r=bbr, $fn=5);
    translate(helix_1[0]) sphere(r=bbr, $fn=5);
  }
  if(drawMode == "all" || drawMode == "helix2") color("pink") {
    translate(helix_2[0]) sphere(r=bbr, $fn=5);
    translate(helix_2[len(helix_2)-1]) sphere(r=bbr, $fn=5);
  }
}

Conditions d’utilisation

Moi, en tant que détenteur des droits d’auteur sur cette œuvre, je la publie sous les licences suivantes :

Vous avez la permission de copier, distribuer et modifier ce document selon les termes de la GNU Free Documentation License version 1.2 ou toute version ultérieure publiée par la Free Software Foundation, sans sections inaltérables, sans texte de première page de couverture et sans texte de dernière page de couverture. Un exemplaire de la licence est inclus dans la section intitulée GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

Ce fichier est disponible selon les termes de la licence Creative Commons Attribution 4.0 International.

Attribution: SNP model by David Eccles (gringer)

Vous êtes libre :

• de partager – de copier, distribuer et transmettre cette œuvre
• d’adapter – de modifier cette œuvre

Sous les conditions suivantes :

• paternité – Vous devez donner les informations appropriées concernant l'auteur, fournir un lien vers la licence et indiquer si des modifications ont été faites. Vous pouvez faire cela par tout moyen raisonnable, mais en aucune façon suggérant que l’auteur vous soutient ou approuve l’utilisation que vous en faites.

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