Task: Archimedean spiral
C: #include <jambo.h>

Main
   Set break
   a=1.5, b=1.5, r=0, origen x=200, origen y=105
   total = 0, Let ( total := Mul(20, M_PI) )
   Cls
   Loop for ( t=0, var 't' Is less equal to 'total', Let (t := Add (t, 0.005)) )
       #( r = a + b * t )
       Set 'origen x, origen y', # ( 200 + (2*r*sin(t)) ) » 'origen x', #( 105 + (r*cos(t)) ) » 'origen y', 
       Gosub 'Dibuja un segmento'
   Next
   Pause
End

Subrutines

Define (Dibuja un segmento, x1, y1, x2, y2)
  dx=0, dy=0, paso=0, i=0, DX=0, DY=0

  Sub(x2, x1), Sub (y2, y1), Move to ' dx, dy '

  Let( paso := Get if( Greater equal ( Abs(dx) » (DX), Abs(dy)»(DY) ), DX, DY ) )

  
  Div(dx, paso), Div(dy, paso), Move to ( dx, dy )

  Color back (13)
  
  i = 0
  Loop if ( Less equal (i, paso) )
     Locate( y1, x1 ), Printnl( " " )
     Add ( x1, dx), Add( y1, dy ), Move to ( x1, y1 )
     ++i
  Back
  Printnl("\OFF")
Return

Java: import java.awt.*;
import static java.lang.Math.*;
import javax.swing.*;

public class ArchimedeanSpiral extends JPanel {

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

    void drawGrid(Graphics2D g) {
        g.setColor(new Color(0xEEEEEE));
        g.setStroke(new BasicStroke(2));

        double angle = toRadians(45);

        int w = getWidth();
        int center = w / 2;
        int margin = 10;
        int numRings = 8;

        int spacing = (w - 2 * margin) / (numRings * 2);

        for (int i = 0; i < numRings; i++) {
            int pos = margin + i * spacing;
            int size = w - (2 * margin + i * 2 * spacing);
            g.drawOval(pos, pos, size, size);

            double ia = i * angle;
            int x2 = center + (int) (cos(ia) * (w - 2 * margin) / 2);
            int y2 = center - (int) (sin(ia) * (w - 2 * margin) / 2);

            g.drawLine(center, center, x2, y2);
        }
    }

    void drawSpiral(Graphics2D g) {
        g.setStroke(new BasicStroke(2));
        g.setColor(Color.orange);

        double degrees = toRadians(0.1);
        double center = getWidth() / 2;
        double end = 360 * 2 * 10 * degrees;
        double a = 0;
        double b = 20;
        double c = 1;

        for (double theta = 0; theta < end; theta += degrees) {
            double r = a + b * pow(theta, 1 / c);
            double x = r * cos(theta);
            double y = r * sin(theta);
            plot(g, (int) (center + x), (int) (center - y));
        }
    }

    void plot(Graphics2D g, int x, int y) {
        g.drawOval(x, y, 1, 1);
    }

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

        drawGrid(g);
        drawSpiral(g);
    }

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