Sierpinski in OpenGL

sierpinski

This is just a simple 2D rendering of the famous Sierpinski gasket.

This was rendered using recursion, simple math, and GL_LINES.

#include "stdafx.h"
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "GL/glut.h"
 
#include<GL/glut.h>
 
void sierpinski2d(float vertex1[], float vertex2[], float vertex3[], int current_depth)
{
    float next_vertex1[3],next_vertex2[3],next_vertex3[3];
 
    //float perimeter = sqrt(vertex1[0]);
 
    //if(perimeter > 0.01)
    //  return;
 
    if(current_depth >= 12)
        return;
 
    glBegin(GL_LINES);
        glVertex3fv(vertex1);
        glVertex3fv(vertex2);
        glVertex3fv(vertex3);
    glEnd();
 
 
    next_vertex1[0] = (vertex1[0]+vertex2[0])/2;
    next_vertex1[1] = (vertex1[1]+vertex2[1])/2;
    next_vertex1[2] = (vertex1[2]+vertex2[2])/2;
 
    next_vertex3[0] = (vertex2[0]+vertex3[0])/2;
    next_vertex3[1] = (vertex2[1]+vertex3[1])/2;
    next_vertex3[2] = (vertex2[2]+vertex3[2])/2;
 
    next_vertex2[0] = (vertex1[0]+vertex3[0])/2;
    next_vertex2[1] = (vertex1[1]+vertex3[1])/2;
    next_vertex2[2] = (vertex1[2]+vertex3[2])/2;
 
    sierpinski2d(next_vertex1,vertex1,next_vertex2,current_depth+1);
    sierpinski2d(next_vertex1,vertex2,next_vertex3,current_depth+1);
    sierpinski2d(next_vertex3,vertex3,next_vertex2,current_depth+1);
}
 
void myInit(void)
{
 
}
 
void display(void)
{
    float vertex1[3]={5.0,0.0,0.0};
    float vertex2[3]={-5.0,0.0,0.0};
    float vertex3[3]={0.0,5.0,0.0};
        glClearColor(0.0,0.0,0.0,1.0);
    glClear(GL_COLOR_BUFFER_BIT);
    glColor3f(0.0,0.8,0.0);
    glMatrixMode(GL_PROJECTION);
    glLoadIdentity();
    gluOrtho2D(-5.0,5.0,0.0,5.0);
    glMatrixMode(GL_MODELVIEW);
 
    sierpinski2d(vertex1,vertex2,vertex3,0);
    glFlush();
}
 
int main(int argc,char **argv)
{
    glutInit(&argc,argv);
    glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB | GLUT_DEPTH );
    glutInitWindowSize(800,800);
    glutInitWindowPosition(10,10);
    glutCreateWindow("Sierpinski 2D");
    myInit();  
    glutDisplayFunc(display);
    glutMainLoop();
}

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