Task: Polyspiral
Go: package main

import (
    "image"
    "image/color"
    "image/gif"
    "log" 
    "math"
    "os"
)

func drawLine(img *image.Paletted, x1, y1, x2, y2 int, ci uint8) {
    var first, last int
    if x2 != x1 {
        m := float64(y2-y1) / float64(x2-x1)
        if x1 < x2 {
            first, last = x1, x2
        } else {
            first, last = x2, x1
        }
        for x := first; x <= last; x++ {
            y := int(m*float64(x-x1)+0.5) + y1
            img.SetColorIndex(x, y, ci)
        }
    } else {
        if y1 < y2 {
            first, last = y1, y2
        } else {
            first, last = y2, y1
        }
        for y := first; y <= last; y++ {
            img.SetColorIndex(x1, y, ci)
        }
    }
}

func setBackgroundColor(img *image.Paletted, w, h int, ci uint8) {
    for x := 0; x < w; x++ {
        for y := 0; y < h; y++ {
            img.SetColorIndex(x, y, ci)
        }
    }
}

func hsb2rgb(hue, sat, bri float64) (r, g, b int) {
    u := int(bri*255 + 0.5)
    if sat == 0 {
        r, g, b = u, u, u
    } else {
        h := (hue - math.Floor(hue)) * 6
        f := h - math.Floor(h)
        p := int(bri*(1-sat)*255 + 0.5)
        q := int(bri*(1-sat*f)*255 + 0.5)
        t := int(bri*(1-sat*(1-f))*255 + 0.5)
        switch int(h) {
        case 0:
            r, g, b = u, t, p
        case 1:
            r, g, b = q, u, p
        case 2:
            r, g, b = p, u, t
        case 3:
            r, g, b = p, q, u
        case 4:
            r, g, b = t, p, u
        case 5:
            r, g, b = u, p, q
        }
    }
    return
}

func main() {
    const degToRad = math.Pi / 180
    const nframes = 360
    const delay = 20 
    width, height := 640, 640
    anim := gif.GIF{LoopCount: nframes}
    rect := image.Rect(0, 0, width, height)
    palette := make([]color.Color, 151)
    palette[0] = color.White
    for i := 1; i <= 150; i++ {
        r, g, b := hsb2rgb(float64(i)/150, 1, 1)
        palette[i] = color.RGBA{uint8(r), uint8(g), uint8(b), 255}
    }
    incr := 0
    for f := 1; f <= nframes; f++ {
        incr = (incr + 1) % 360
        x1, y1 := width/2, height/2
        length := 5.0
        img := image.NewPaletted(rect, palette)
        setBackgroundColor(img, width, height, 0) 
        angle := incr
        for ci := uint8(1); ci <= 150; ci++ {
            x2 := x1 + int(math.Cos(float64(angle)*degToRad)*length)
            y2 := y1 - int(math.Sin(float64(angle)*degToRad)*length)
            drawLine(img, x1, y1, x2, y2, ci)
            x1, y1 = x2, y2
            length += 3
            angle = (angle + incr) % 360
        }
        anim.Delay = append(anim.Delay, delay)
        anim.Image = append(anim.Image, img)
    }
    file, err := os.Create("polyspiral.gif")
    if err != nil {
        log.Fatal(err)
    }
    defer file.Close() 
    if err2 := gif.EncodeAll(file, &anim); err != nil {
        log.Fatal(err2)
    }
}

Java: import java.awt.*;
import java.awt.event.ActionEvent;
import javax.swing.*;

public class PolySpiral extends JPanel {
    double inc = 0;

    public PolySpiral() {
        setPreferredSize(new Dimension(640, 640));
        setBackground(Color.white);

        new Timer(40, (ActionEvent e) -> {
            inc = (inc + 0.05) % 360;
            repaint();
        }).start();
    }

    void drawSpiral(Graphics2D g, int len, double angleIncrement) {

        double x1 = getWidth() / 2;
        double y1 = getHeight() / 2;
        double angle = angleIncrement;

        for (int i = 0; i < 150; i++) {

            g.setColor(Color.getHSBColor(i / 150f, 1.0f, 1.0f));

            double x2 = x1 + Math.cos(angle) * len;
            double y2 = y1 - Math.sin(angle) * len;
            g.drawLine((int) x1, (int) y1, (int) x2, (int) y2);
            x1 = x2;
            y1 = y2;

            len += 3;

            angle = (angle + angleIncrement) % (Math.PI * 2);
        }
    }

    @Override
    public void paintComponent(Graphics gg) {
        super.paintComponent(gg);
        Graphics2D g = (Graphics2D) gg;
        g.setRenderingHint(RenderingHints.KEY_ANTIALIASING,
                RenderingHints.VALUE_ANTIALIAS_ON);

        drawSpiral(g, 5, Math.toRadians(inc));
    }

    public static void main(String[] args) {
        SwingUtilities.invokeLater(() -> {
            JFrame f = new JFrame();
            f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
            f.setTitle("PolySpiral");
            f.setResizable(true);
            f.add(new PolySpiral(), BorderLayout.CENTER);
            f.pack();
            f.setLocationRelativeTo(null);
            f.setVisible(true);
        });
    }
}