# Sunflower fractal

Sunflower fractal is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.

## C

The colouring of the "fractal" is determined with every iteration to ensure that the resulting graphic looks similar to a real Sunflower, thus the parameter diskRatio determines the radius of the central disk as the maximum radius of the flower is known from the number of iterations. The scaling factor is currently hardcoded but can also be externalized. Requires the WinBGIm library.

` /*Abhishek Ghosh, 14th September 2018*/ #include<graphics.h>#include<math.h> #define pi M_PI void sunflower(int winWidth, int winHeight, double diskRatio, int iter){	double factor = .5 + sqrt(1.25),r,theta;	double x = winWidth/2.0, y = winHeight/2.0;	double maxRad = pow(iter,factor)/iter; 	int i; 	setbkcolor(LIGHTBLUE); 	for(i=0;i<=iter;i++){		r = pow(i,factor)/iter; 		r/maxRad < diskRatio?setcolor(BLACK):setcolor(YELLOW); 		theta = 2*pi*factor*i;		circle(x + r*sin(theta), y + r*cos(theta), 10 * i/(1.0*iter));	}} int main(){	initwindow(1000,1000,"Sunflower..."); 	sunflower(1000,1000,0.5,3000); 	getch(); 	closegraph(); 	return 0;} `

## Go

Library: Go Graphics
Translation of: Ring

The image produced, when viewed with (for example) EOG, is similar to the Ring entry.

`package main import (    "github.com/fogleman/gg"    "math") func main() {    dc := gg.NewContext(400, 400)    dc.SetRGB(1, 1, 1)    dc.Clear()    dc.SetRGB(0, 0, 1)    c := (math.Sqrt(5) + 1) / 2    numberOfSeeds := 3000    for i := 0; i <= numberOfSeeds; i++ {        fi := float64(i)        fn := float64(numberOfSeeds)        r := math.Pow(fi, c) / fn        angle := 2 * math.Pi * c * fi        x := r*math.Sin(angle) + 200        y := r*math.Cos(angle) + 200        fi /= fn / 5        dc.DrawCircle(x, y, fi)    }    dc.SetLineWidth(1)    dc.Stroke()    dc.SavePNG("sunflower_fractal.png")}`

## JavaScript

HTML to test

```<!DOCTYPE html>
<html>
<meta charset="utf-8" />
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<title>Vibrating rectangles</title>
<meta name="viewport" content="width=device-width, initial-scale=1">
<style>
body{background-color:black;text-align:center;margin-top:150px}
</style>
<script src="sunflower.js"></script>
<div id='wnd'></div>
</body>
</html>
```
` const SIZE = 400, HS = SIZE >> 1, WAIT = .005, SEEDS = 3000,       TPI = Math.PI * 2, C = (Math.sqrt(10) + 1) / 2;class Sunflower {    constructor() {        this.wait = WAIT;        this.colorIndex = 0;        this.dimension = 0;        this.lastTime = 0;        this.accumulator = 0;        this.deltaTime = 1 / 60;        this.colors = ["#ff0000", "#ff8000", "#ffff00", "#80ff00", "#00ff00", "#00ff80",                        "#00ffff", "#0080ff", "#0000ff", "#8000ff", "#ff00ff", "#ff0080"];        this.canvas = document.createElement('canvas');        this.canvas.width = SIZE;        this.canvas.height = SIZE;        const d = document.getElementById("wnd");        d.appendChild(this.canvas);        this.ctx = this.canvas.getContext('2d');    }    draw(clr, d) {        let r = Math.pow(d, C) / SEEDS;        let angle = TPI * C * d;        let x = HS + r * Math.sin(angle),             y = HS + r * Math.cos(angle);        this.ctx.strokeStyle = clr;        this.ctx.beginPath();        this.ctx.arc(x, y, d / (SEEDS / 50), 0, TPI);        this.ctx.closePath();        this.ctx.stroke();    }    update(dt) {        if((this.wait -= dt) < 0) {            this.draw(this.colors[this.colorIndex], this.dimension);            this.wait = WAIT;            if((this.dimension++) > 600) {                this.dimension = 0;                this.colorIndex = (this.colorIndex + 1) % this.colors.length;            }        }    }    start() {        this.loop = (time) => {            this.accumulator += (time - this.lastTime) / 1000;            while(this.accumulator > this.deltaTime) {                this.accumulator -= this.deltaTime;                this.update(Math.min(this.deltaTime));            }            this.lastTime = time;            requestAnimationFrame(this.loop);        }        this.loop(0);    }}function start() {    const sunflower = new Sunflower();    sunflower.start();}  `

## Microsoft Small Basic

Translation of: Ring
`' Sunflower fractal - 24/07/2018  GraphicsWindow.Width=410  GraphicsWindow.Height=400  c=(Math.SquareRoot(5)+1)/2  numberofseeds=3000  For i=0 To numberofseeds    r=Math.Power(i,c)/numberofseeds    angle=2*Math.Pi*c*i    x=r*Math.Sin(angle)+200    y=r*Math.Cos(angle)+200    GraphicsWindow.DrawEllipse(x, y, i/numberofseeds*10, i/numberofseeds*10)  EndFor `
Output:

## Perl

Translation of: Sidef
`use utf8;use constant π => 3.14159265;use constant φ => (1 + sqrt(5)) / 2; my \$scale = 600;my \$seeds = 5*\$scale; print qq{<svg xmlns="http://www.w3.org/2000/svg" width="\$scale" height="\$scale" style="stroke:gold">           <rect width="100%" height="100%" fill="black" />\n}; for \$i (1..\$seeds) {    \$r = 2 * (\$i**φ) / \$seeds;    \$t = 2 * π * φ * \$i;    \$x = \$r * sin(\$t) + \$scale/2;    \$y = \$r * cos(\$t) + \$scale/2;    printf qq{<circle cx="%.2f" cy="%.2f" r="%.1f" />\n}, \$x, \$y, sqrt(\$i)/13;} print "</svg>\n";`

See Phi-packing image (SVG image)

## Perl 6

Works with: Rakudo version 2018.06

This is not really a fractal. It is more accurately an example of a Fibonacci spiral or Phi-packing.

Or, to be completely accurate: It is a variation of a generative Fermat's spiral using the Vogel model to implement phi-packing. See: https://thatsmaths.com/2014/06/05/sunflowers-and-fibonacci-models-of-efficiency

`use SVG; my \$seeds  = 3000;my @center = 300, 300;my \$scale  = 5; constant \φ = (3 - 5.sqrt) / 2; my @c = map {    my (\$x, \$y) = (\$scale * .sqrt) «*« |cis(\$_ * φ * τ).reals »+« @center;    [ \$x.round(.01), \$y.round(.01), (.sqrt * \$scale / 100).round(.1) ]}, 1 .. \$seeds; say SVG.serialize(    svg => [        :600width, :600height, :style<stroke:yellow>,        :rect[:width<100%>, :height<100%>, :fill<black>],        |@c.map( { :circle[:cx(.[0]), :cy(.[1]), :r(.[2])] } ),    ],);`

See: Phi packing (SVG image)

## Phix

`constant numberofseeds = 3000 include pGUI.e Ihandle dlg, canvascdCanvas cddbuffer, cdcanvas procedure cdCanvasCircle(cdCanvas cddbuffer, atom x, y, r)    cdCanvasArc(cddbuffer,x,y,r,r,0,360)end procedure function redraw_cb(Ihandle /*ih*/, integer /*posx*/, integer /*posy*/)     integer {hw, hh} = sq_floor_div(IupGetIntInt(canvas, "DRAWSIZE"),2)    atom s = min(hw,hh)/150,         f = min(hw,hh)*8/125    cdCanvasActivate(cddbuffer)    cdCanvasClear(cddbuffer)    atom c = (sqrt(5)+1)/2    for i=0 to numberofseeds do        atom r = power(i,c)/numberofseeds,             angle = 2*PI*c*i,             x = s*r*sin(angle)+hw,             y = s*r*cos(angle)+hh        cdCanvasCircle(cddbuffer,x,y,i/numberofseeds*f)    end for     cdCanvasFlush(cddbuffer)    return IUP_DEFAULTend function function map_cb(Ihandle ih)    cdcanvas = cdCreateCanvas(CD_IUP, ih)    cddbuffer = cdCreateCanvas(CD_DBUFFER, cdcanvas)    cdCanvasSetBackground(cddbuffer, CD_WHITE)    cdCanvasSetForeground(cddbuffer, CD_BLACK)    return IUP_DEFAULTend function function esc_close(Ihandle /*ih*/, atom c)    if c=K_ESC then return IUP_CLOSE end if    return IUP_CONTINUEend function procedure main()    IupOpen()     canvas = IupCanvas(NULL)    IupSetAttribute(canvas, "RASTERSIZE", "602x502") -- initial size    IupSetCallback(canvas, "MAP_CB", Icallback("map_cb"))     dlg = IupDialog(canvas)    IupSetAttribute(dlg, "TITLE", "Sunflower")    IupSetCallback(dlg, "K_ANY",     Icallback("esc_close"))    IupSetCallback(canvas, "ACTION", Icallback("redraw_cb"))     IupMap(dlg)    IupSetAttribute(canvas, "RASTERSIZE", NULL) -- release the minimum limitation    IupShowXY(dlg,IUP_CENTER,IUP_CENTER)    IupMainLoop()    IupClose()end proceduremain()`

## R

` phi=1/2+sqrt(5)/2r=seq(0,1,length.out=2000)theta=numeric(length(r))theta[1]=0for(i in 2:length(r)){  theta[i]=theta[i-1]+phi*2*pi}x=r*cos(theta)y=r*sin(theta)par(bg="black")plot(x,y)size=seq(.5,2,length.out = length(x))thick=seq(.1,2,length.out = length(x))for(i in 1:length(x)){  points(x[i],y[i],cex=size[i],lwd=thick[i],col="goldenrod1")} `
Output:

## Ring

` # Project : Sunflower fractal load "guilib.ring" paint = null new qapp         {        win1 = new qwidget() {                  setwindowtitle("Sunflower fractal")                  setgeometry(100,100,320,500)                  label1 = new qlabel(win1) {                              setgeometry(10,10,400,400)                              settext("")                  }                  new qpushbutton(win1) {                          setgeometry(100,400,100,30)                          settext("draw")                          setclickevent("draw()")                  }                  show()        }        exec()        } func draw        p1 = new qpicture()               color = new qcolor() {               setrgb(0,0,255,255)        }        pen = new qpen() {                 setcolor(color)                 setwidth(1)        }        paint = new qpainter() {                  begin(p1)                  setpen(pen)         c = (sqrt(5) + 1) / 2        numberofseeds = 3000        for i = 0 to numberofseeds              r = pow(i, c ) / (numberofseeds)              angle = 2 * 3.14 * c * i              x = r * sin(angle) + 100              y = r * cos(angle) + 100             drawellipse(x, y, i / (numberofseeds / 10), i / (numberofseeds / 10))        next         endpaint()        }        label1 { setpicture(p1) show() } `

Output:

## Sidef

Translation of: Go
`require('Imager') func draw_sunflower(seeds=3000) {    var img = %O<Imager>.new(        xsize => 400,        ysize => 400,    )     var c = (sqrt(1.25) + 0.5)    { |i|        var r = (i**c / seeds)        var θ = (2 * Num.pi * c * i)        var x = (r * sin(θ) + 200)        var y = (r * cos(θ) + 200)        img.circle(x => x, y => y, r => i/(5*seeds))    } * seeds     return img} var img = draw_sunflower()img.write(file => "sunflower.png")`

Output image: Sunflower fractal

## zkl

Translation of: Go

Uses Image Magick and the PPM class from http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm#zkl

`fcn sunflower(seeds=3000){   img,color := PPM(400,400), 0x00ff00;		// green   c:=((5.0).sqrt() + 1)/2;   foreach n in ([0.0 .. seeds]){  // floats      r:=n.pow(c)/seeds;      x,y := r.toRectangular(r.pi*c*n*2);      r=(n/seeds*5).toInt();      img.circle(200 + x, 200 + y, r,color);   }   img.writeJPGFile("sunflower.zkl.jpg");}();`
Output:

Image at sunflower fractal