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/* 3-d serpinsky gasket
*
* Akshay Oppiliappan
*/
#include <GL/glut.h>
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
typedef float point[3];
point tetra[4] = {
{0, 250, -250},
{0, 0, 250},
{250, -250, 250},
{-250, -250, -250},
};
void myInit() {
glClearColor(1.0, 1.0, 1.0, 1.0);
glOrtho(-300.0, 300.0, -300.0, 300.0, -300.0, 300.0);
};
void drawTriangle(point p1, point p2, point p3) {
glBegin(GL_TRIANGLES);
glVertex3fv(p1);
glVertex3fv(p2);
glVertex3fv(p3);
glEnd();
}
void drawTetra(point p1, point p2, point p3, point p4) {
glColor3f(1.0, 1.0, 0.0);
drawTriangle(p1, p2, p3);
glColor3f(0.0, 1.0, 0.0);
drawTriangle(p1, p3, p4);
glColor3f(1.0, 0.0, 0.0);
drawTriangle(p1, p4, p2);
glColor3f(0.0, 0.0, 1.0);
drawTriangle(p2, p3, p4);
}
void divideTetra(point p1, point p2, point p3, point p4, int iter) {
point mid[6];
int j;
if (iter > 0) {
for (j = 0; j < 3; j++)
mid[0][j] = (p1[j] + p2[j]) / 2;
for (j = 0; j < 3; j++)
mid[1][j] = (p1[j] + p3[j]) / 2;
for (j = 0; j < 3; j++)
mid[2][j] = (p1[j] + p4[j]) / 2;
for (j = 0; j < 3; j++)
mid[3][j] = (p2[j] + p3[j]) / 2;
for (j = 0; j < 3; j++)
mid[4][j] = (p3[j] + p4[j]) / 2;
for (j = 0; j < 3; j++)
mid[5][j] = (p2[j] + p4[j]) / 2;
divideTetra(p1, mid[0], mid[1], mid[2], iter - 1);
divideTetra(mid[0], p2, mid[3], mid[5], iter - 1);
divideTetra(mid[1], mid[3], p3, mid[4], iter - 1);
divideTetra(mid[2], mid[4], p4, mid[5], iter - 1);
} else {
drawTetra(p1, p2, p3, p4);
}
}
void display() {
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glBegin(GL_TRIANGLES);
divideTetra(tetra[0], tetra[1], tetra[2], tetra[3], 5);
glEnd();
glFlush();
}
int main(int argc, char *argv[]) {
glutInit(&argc, argv);
glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB | GLUT_DEPTH);
glutInitWindowSize(600, 600);
glutInitWindowPosition(0, 0);
glutCreateWindow("Sierpinski Gasket");
glutDisplayFunc(display);
glEnable(GL_DEPTH_TEST);
myInit();
glutMainLoop();
}
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