How to draw a rhombus with freeglut? - c++

Question

I am trying to draw something like this image of the target output using OpenGL. I am using freeglut. I could draw three polygons, but I don't know how to give the three polygons right positioning. Below I attached the target output and my correct output.
The target output
My output
#include <GL/glut.h>
void init(void)
{
glClearColor(1.0, 1.0, 1.0, 0.0);
glMatrixMode(GL_PROJECTION);
gluOrtho2D(-5.0, 5.0, -5.0, 5.0);
glMatrixMode(GL_MODELVIEW);
}
void drawSquare(void)
{
glBegin(GL_POLYGON);
glVertex2f(0.0f, -1.0f);
glVertex2f(2.0f, 0.0f);
glVertex2f(0.0f, 1.0f);
glVertex2f(-2.0f, 0.0f);
glEnd();
}
void myDraw1(void)
{
glClear(GL_COLOR_BUFFER_BIT);
glLoadIdentity();
glColor3f(1.0, 0.0, 0.0);
drawSquare();
glTranslatef(2.0, 3.0, 0.0);
glRotatef(30, 0.0, 0.0, 1.0);
glColor3f(0.0, 1.0, 0.0);
drawSquare();
glLoadIdentity();
glTranslatef(-2.0, -3.0, 0.0);
glRotatef(-30, 0.0, 0.0, 1.0);
glColor3f(0.0, 0.0, 1.0);
drawSquare();
glFlush();
}
void myDraw2(void)
{
glClear(GL_COLOR_BUFFER_BIT);
glLoadIdentity();
glColor3f(1.0, 0.0, 0.0);
drawSquare();
glPushMatrix();
glTranslatef(2.0, 3.0, 0.0);
glRotatef(30, 0.0, 0.0, 1.0);
glColor3f(0.0, 1.0, 0.0);
drawSquare();
glPopMatrix();
glTranslatef(-2.0, -3.0, 0.0);
glRotatef(-30, 0.0, 0.0, 1.0);
glColor3f(0.0, 0.0, 1.0);
drawSquare();
glFlush();
}
void main(int argc, char** argv)
{
glutInit(&argc, argv);
glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB);
glutInitWindowPosition(0, 0);
glutInitWindowSize(600, 600);
glutCreateWindow("Rotate");
init();
glutDisplayFunc(myDraw1);
glutMainLoop();
}

Answer 1

The angle between the polygons is 120°. The center of the polygons is (0, 0). You have to rotate around the point (-2, 0). Translate the polygon in that way that that (-2, 0) is moved to (0, 0) and rotate the polygon:
glRotatef(120.0, 0.0, 0.0, 1.0);
glTranslatef(2.0, 0.0, 0.0);
Note, operations like glTranslatef and glRotatef, specify a matrix and multiply the current matrix by the new specified matrix. Use glPushMatrix/glPopMatrix to save and restore the matrix (push on and pop from matrix stack).
e.g:
void myDraw1(void)
{
glClear(GL_COLOR_BUFFER_BIT);
glLoadIdentity();
glColor3f(1.0, 0.0, 0.0);
glPushMatrix();
glRotatef(90.0, 0.0, 0.0, 1.0);
glTranslatef(2.0, 0.0, 0.0);
drawSquare();
glPopMatrix();
glColor3f(0.0, 1.0, 0.0);
glPushMatrix();
glRotatef(210.0, 0.0, 0.0, 1.0);
glTranslatef(2.0, 0.0, 0.0);
drawSquare();
glPopMatrix();
glColor3f(0.0, 0.0, 1.0);
glPushMatrix();
glRotatef(330.0, 0.0, 0.0, 1.0);
glTranslatef(2.0, 0.0, 0.0);
drawSquare();
glPopMatrix();
glFlush();
}