rechthoeken "Rechth_9g

gouden rechthoeken class "Rechth_9g_gk" in p5.js terug naar de inleiding

rechthoeken "lr" = 0, "r" = 9 rechthoeken "lr" = 1, "r" = 9

De draaipunten staan in het (0,0) punt

Met deze class kan je max 9 gouden rechthoeken creeeren, zo ontstaan 8 vierkanten

"Rechth_9g_gk" is een hulpmiddel om spiralen en andere gouden vormen in een schets te positioneren. gk dwz van groot naar klein, zie argument 4

De argumenten van de constructor

1) "n" = lengte van de korte zijde van de rechthoek, 2) "lr" = 0 rechthoeken staan links, "lr" = 1 rechthoeken staan rechts

3) "r" = aantal rechthoeken (max 9), van groot naar klein, dus met "r" = 1 is de grootste rechthoek zichtbaar

4) en 5) x, y positie, 6) hoek, 7) "sw" = lijndikte , 8) "c" = lijnkleur

n, a, b, c, d, e, f, g en h zijn de korte zijden van de 9 gouden rechthoeken en de zijden van de 8 ontstane vierkanten

 

class Rechth_9g_gk extends Vormen {
//constructor 1   2  3  4  5   6     7  8
  constructor(n, lr, r, x, y, hoek, sw, c) {
    super(x,y,hoek);
    this.n = n;  this.sw = sw;  this.lr = lr; this.r = r;
    this.x = x;  this.y = y;
    this.hoek = hoek;  this.c = c;
  }
    display() {
    stroke(this.c);
    strokeWeight(this.sw);
    noFill();
    let lr = this.lr; let r = this.r; let n = this.n;
    push();
    translate(this.x, this.y);
    rotate(radians(this.hoek));
    let phi= (1+sqrt(5))/2; let nphi = n*phi;
    let a = nphi-nphi/phi, b = n-n/phi , c = a-a/phi, d = b-b/phi;
    let e = c-c/phi , f = d-d/phi , g = e-e/phi , h = f-f/phi;
    beginShape();
    if ((r==1 || r==2 || r==3 || r==4 || r==5 || r==6 || r==7 || r==8 || r==9) && lr==0)
    {vertex(0,0); vertex(0,-n); vertex(-nphi,-n); vertex(-nphi,0);}
    endShape(CLOSE);
    beginShape();
    if ((r==1 || r==2 || r==3 || r==4 || r==5 || r==6 || r==7 || r==8 || r==9) && lr==1)
    {vertex(0,0); vertex(0,-n); vertex(nphi,-n); vertex(nphi ,0);}
    endShape(CLOSE);
    beginShape();
    if ((r==2 || r==3 || r==4 || r==5 || r==6 || r==7|| r==8 || r==9) && lr==0)
    {vertex(-n,0); vertex(-n,-n); vertex(-(n+a),-n); vertex(-(n+a),0);}
    endShape(CLOSE);
    beginShape();
    if ((r==2 || r==3 || r==4 || r==5 || r==6 || r==7|| r==8 || r==9) && lr==1)
    {vertex(n,0); vertex(n,-n); vertex(n+a,-n); vertex(n+a,0);}
    endShape(CLOSE);
    beginShape();
    if ((r==3 || r==4 || r==5 || r==6 || r==7|| r==8 || r==9) && lr==0)
   {vertex(-n, 0); vertex(-n, -b); vertex(-(n+a), -b); vertex(-(n+a),0);}
    endShape(CLOSE);
    beginShape();
    if ((r==3 || r==4 || r==5 || r==6 || r==7|| r==8 || r==9) && lr==1)
   {vertex(n, 0); vertex(n, -b); vertex(n+a, -b); vertex(n+a,0);}
    endShape(CLOSE);
    beginShape();
    if ((r==4 || r==5 || r==6 || r==7|| r==8 || r==9) && lr==0)
   {vertex(-n,0);vertex(-n,-b); vertex(-(n+c),-b); vertex(-(n+c),0);}
    endShape(CLOSE);
    beginShape();
    if ((r==4 || r==5 || r==6 || r==7|| r==8 || r==9) && lr==1)
   {vertex(n,0);vertex(n,-b); vertex(n+c,-b); vertex(n+c,0);}
    endShape(CLOSE);
    beginShape();
    if ((r == 5 || r==6 || r==7|| r==8 || r==9) && lr==0)
    {vertex(-n,-c); vertex(-n,-(c+d)); vertex(-(n+c),-(c+d)); vertex(-(n+c),-c);}
    endShape(CLOSE);
    beginShape();
    if ((r == 5 || r==6 || r==7 || r==8 || r==9) && lr==1)
    {vertex(n,-c); vertex(n,-(c+d)); vertex(n+c,-(c+d)); vertex(n+c,-c);}
    endShape(CLOSE);
    beginShape();
    if ((r==6 || r==7|| r==8  || r==9) && lr==0)
    {vertex(-(n+c-e), -c);vertex(-(n+c-e), -(d+c));vertex(-(n+c), -(d+c));vertex(-(n+c), -c);}
    endShape(CLOSE);
    beginShape();
    if ((r==6 || r==7|| r==8 || r==9) && lr==1)
    {vertex(n+c-e, -c);vertex(n+c-e,-(d+c));vertex(n+c, -(d+c));vertex(n+c,-c);}
    endShape(CLOSE);
    beginShape();
    if ((r==7 || r==8 || r==9) && lr==0)
    {vertex(-(n+d),-c);vertex(-(n+d),-(c+f));vertex(-(n+d+e),-(c+f));vertex(-(n+d+e),-c);}
    endShape(CLOSE);
    beginShape();
    if ((r==7|| r==8 || r==9) && lr==1)
    {vertex(n+d,-c);vertex(n+d,-(c+f));vertex(n+d+e,-(c+f));vertex(n+d+e,-c);}
    endShape(CLOSE);
    beginShape();
    if ((r==8 || r==9) && lr==0)
    {vertex(-(n+d), -c);vertex(-(n+d), -(c+f));vertex(-(n+d+g), -(f+c));vertex(-(n+d+g), -c);}
    endShape(CLOSE);
    beginShape();
    if ((r==8 || r==9) && lr==1)
    {vertex(n+d, -c);vertex(n+d, -(c+f));vertex(n+d+g, -(f+c));vertex(n+d+g, -c);}
    endShape(CLOSE);
    beginShape();
    if (r==9 && lr==0)
    {vertex(-(n+d),-c);vertex(-(n+d), -(c+f-h));vertex(-(n+d+g),-(c+f-h));vertex(-(n+d+g), -c);}
    endShape(CLOSE);
    beginShape();
    if (r==9 && lr==1)
    {vertex(n+d,-c);vertex(n+d,-(c+f-h));vertex(n+d+g,-(c+f-h));vertex(n+d+g, -c);}
    endShape(CLOSE);
    pop();
    strokeWeight(1);
  }
}

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