This post will explain how we can program this:
And this:
So what are we watching in this images?
We see a square, inside a square, inside a square and so on.
before we continue you should know - we only draw straight lines!
So Lets Program!
So the variables we should use are:
The Proportion - Which tell us where the program should place the next vertex.
Number of Times - The Number of times the algorithm will work(which means number of squares).
Everything will become clear in a minute!
So we define our first 4 vertexes:
And than we draw our Square:
And lastly we change our vertexes with the given proportion:
When p and q represent the proportion and 1 - the proportion.
And that is all there is to know, pretty simple!
So we define our first 4 vertexes:
Point[] vertex = new Point[4]; vertex[0] = new Point(0, 0); vertex[1] = new Point(this.Width-18, 0); vertex[2] = new Point(this.Width-18, this.Height-45); vertex[3] = new Point(0, this.Height-45);
And than we draw our Square:
formgraphics.DrawLine(pen, vertex[0], vertex[1]); formgraphics.DrawLine(pen1, vertex[1], vertex[2]); formgraphics.DrawLine(pen2, vertex[2], vertex[3]); formgraphics.DrawLine(pen3, vertex[0], vertex[3]);
And lastly we change our vertexes with the given proportion:
vertex[0].X = (int)(p * vertex[0].X + q * vertex[1].X); vertex[0].Y = (int)(p * vertex[0].Y + q * vertex[1].Y); vertex[1].X = (int)(p * vertex[1].X + q * vertex[2].X); vertex[1].Y = (int)(p * vertex[1].Y + q * vertex[2].Y); vertex[2].X = (int)(p * vertex[2].X + q * vertex[3].X); vertex[2].Y = (int)(p * vertex[2].Y + q * vertex[3].Y); vertex[3].X = (int)(p * vertex[3].X + q * temp.X); vertex[3].Y = (int)(p * vertex[3].Y + q * temp.Y);
When p and q represent the proportion and 1 - the proportion.
And that is all there is to know, pretty simple!
So here is the code:
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Windows.Forms;
namespace SimpleSquareGraphics
{
public partial class Form1 : Form
{
public Form1()
{
InitializeComponent();
}
private void Form1_Load(object sender, EventArgs e)
{
}
private void button1_Click(object sender, EventArgs e)
{
button1.Visible = false;
label1.Visible = false;
int times = int.Parse(textBox1.Text);
double q = double.Parse(textBox2.Text);
textBox1.Visible = false;
textBox2.Visible = false;
label2.Visible = false;
label3.Visible = false;
Pen pen = new Pen(Color.Green, 2);
Pen pen1 = new Pen(Color.Blue, 2);
Pen pen2 = new Pen(Color.Red, 2);
Pen pen3 = new Pen(Color.Yellow , 2);
Graphics formgraphics = this.CreateGraphics();
Point[] vertex = new Point[4];
vertex[0] = new Point(0, 0);
vertex[1] = new Point(this.Width-18, 0);
vertex[2] = new Point(this.Width-18, this.Height-45);
vertex[3] = new Point(0, this.Height-45);
//proportion
double p = 1 - q;
//Drawing Square
formgraphics.DrawLine(pen, vertex[0], vertex[1]);
formgraphics.DrawLine(pen1, vertex[1], vertex[2]);
formgraphics.DrawLine(pen2, vertex[2], vertex[3]);
formgraphics.DrawLine(pen3, vertex[0], vertex[3]);
for (int i = 0; i < times; i++)
{
Point temp = new Point(vertex[0].X, vertex[0].Y);
vertex[0].X = (int)(p * vertex[0].X + q * vertex[1].X);
vertex[0].Y = (int)(p * vertex[0].Y + q * vertex[1].Y);
vertex[1].X = (int)(p * vertex[1].X + q * vertex[2].X);
vertex[1].Y = (int)(p * vertex[1].Y + q * vertex[2].Y);
vertex[2].X = (int)(p * vertex[2].X + q * vertex[3].X);
vertex[2].Y = (int)(p * vertex[2].Y + q * vertex[3].Y);
vertex[3].X = (int)(p * vertex[3].X + q * temp.X);
vertex[3].Y = (int)(p * vertex[3].Y + q * temp.Y);
formgraphics.DrawLine(pen, vertex[0], vertex[1]);
formgraphics.DrawLine(pen1, vertex[1], vertex[2]);
formgraphics.DrawLine(pen2, vertex[2], vertex[3]);
formgraphics.DrawLine(pen3, vertex[0], vertex[3]);
}
pen.Dispose();
pen1.Dispose();
pen2.Dispose();
pen3.Dispose();
formgraphics.Dispose();
}
}
}
Ant here is the download link:
Download This Project (rar file)
Open without compiling -> Go to the project folder -> bin - > debug -> SimpleSquareGraphics.exe
Enjoy (:
And remember
Questions = Comments!
