Task: Brownian tree
C#: using System;
using System.Drawing;

namespace BrownianTree
{
    class Program
    {
        static Bitmap BrownianTree(int size, int numparticles)
        {
            Bitmap bmp = new Bitmap(size, size);
            Rectangle bounds = new Rectangle { X = 0, Y = 0, Size = bmp.Size };
            using (Graphics g = Graphics.FromImage(bmp))
            {
                g.Clear(Color.Black);
            }
            Random rnd = new Random();
            bmp.SetPixel(rnd.Next(size), rnd.Next(size), Color.White);
            Point pt = new Point(), newpt = new Point();
            for (int i = 0; i < numparticles; i++)
            {
                pt.X = rnd.Next(size);
                pt.Y = rnd.Next(size);
                do
                {
                    newpt.X = pt.X + rnd.Next(-1, 2);
                    newpt.Y = pt.Y + rnd.Next(-1, 2);
                    if (!bounds.Contains(newpt))
                    {
                        pt.X = rnd.Next(size);
                        pt.Y = rnd.Next(size);
                    }
                    else if (bmp.GetPixel(newpt.X, newpt.Y).R > 0)
                    {
                        bmp.SetPixel(pt.X, pt.Y, Color.White);
                        break;
                    }
                    else
                    {
                        pt = newpt;
                    }
                } while (true);
            }
            return bmp;
        }

        static void Main(string[] args)
        {
            BrownianTree(300, 3000).Save("browniantree.png");
        }
    }
}

Go: package main

import (
    "fmt"
    "image"
    "image/color"
    "image/png"
    "math/rand"
    "os"
)

const w = 400     
const h = 300     
const n = 15000   
const frost = 255 

var g *image.Gray

func main() {
    g = image.NewGray(image.Rectangle{image.Point{0, 0}, image.Point{w, h}})
    
    g.SetGray(w/3, h/3, color.Gray{frost})
generate:
    for a := 0; a < n; {
        
        rp := image.Point{rand.Intn(w), rand.Intn(h)}
        if g.At(rp.X, rp.Y).(color.Gray).Y == frost {
            
            for {
                rp.X += rand.Intn(3) - 1
                rp.Y += rand.Intn(3) - 1
                
                if !rp.In(g.Rect) {
                    continue generate
                }
                if g.At(rp.X, rp.Y).(color.Gray).Y != frost {
                    break
                }
            }
        } else {
            
            
            for !hasNeighbor(rp) {
                rp.X += rand.Intn(3) - 1
                rp.Y += rand.Intn(3) - 1
                
                if !rp.In(g.Rect) {
                    continue generate
                }
            }
        }
        
        g.SetGray(rp.X, rp.Y, color.Gray{frost})
        a++
        
        if a%100 == 0 {
            fmt.Println(a, "of", n)
        }
    }
    f, err := os.Create("tree.png")
    if err != nil {
        fmt.Println(err)
        return
    }
    err = png.Encode(f, g)
    if err != nil {
        fmt.Println(err)
    }
    f.Close()
}

var n8 = []image.Point{
    {-1, -1}, {-1, 0}, {-1, 1},
    {0, -1}, {0, 1},
    {1, -1}, {1, 0}, {1, 1}}

func hasNeighbor(p image.Point) bool { 
    for _, n := range n8 {
        o := p.Add(n)
        if o.In(g.Rect) && g.At(o.X, o.Y).(color.Gray).Y == frost {
            return true
        }
    }
    return false
}