Create a plane that trims cube Pyglet

Question

I have a moving, zooming, rotating cube, I need to create a plane that will trim the cube like that

Here is the code of drawing

pgl.glLoadIdentity()
pgl.glViewport(650, 500, 650, 500)
pgl.glMatrixMode(ogl.GL_PROJECTION)
pgl.glLoadIdentity()

pgl.gluPerspective(self.dist, 1.3, 1, 1000)

pgl.glMatrixMode(ogl.GL_MODELVIEW)

pgl.glTranslatef(0, 0, -400)

pgl.glPushMatrix()
pgl.glTranslatef(self.x, self.y, self.z)
pgl.glRotatef(self.xRotation, 1, 0, 0)
pgl.glRotatef(self.yRotation, 0, 1, 0)
pgl.glRotatef(self.zRotation, 0, 0, 1)
pgl.glScalef(self.zoom, self.zoom, self.zoom)


if not transparant:
    pgl.glPolygonMode(pgl.GL_FRONT_AND_BACK, pgl.GL_FILL)
else:
    pgl.glPolygonMode(pgl.GL_FRONT_AND_BACK, pgl.GL_LINE)

draw_big()

pgl.glPopMatrix()

Answer 1

With Legacy OpenGL fixed function pipeline you can set a clipping plane.

There can be more than 1 clip plane and the planes have to be enabled by glEnable(GL_CLIP_PLANEi).

The plane is set by glClipPlane. The parameters to the clipping plane are interpreted as a Plane Equation. The first 3 components of the plane equation are the normal vector to the clipping plane. The 4th component is the distance to the origin:

plane = plane = [-1.0, -1.0, -1.0, -280]
ogl.glClipPlane(pgl.GL_CLIP_PLANE0, plane)

For a detailed specification see OpenGL 4.6 API Compatibility Profile Specification - 13.7. PRIMITIVE CLIPPING; page 537.
Note, that the inverse of the current model-view matrix is applied to the clipping plane coefficients at the time when it is specified.

See the example, which is based on the code of the question:

def on_draw(self) :

    self.clear()
    pgl.glClear(pgl.GL_COLOR_BUFFER_BIT | pgl.GL_DEPTH_BUFFER_BIT)

    pgl.glViewport(0, 0, 500, 500)

    pgl.glMatrixMode(ogl.GL_PROJECTION)
    pgl.glLoadIdentity()
    pgl.gluPerspective(45, 1, 1, 1000)

    pgl.glMatrixMode(ogl.GL_MODELVIEW)
    pgl.glLoadIdentity()
    pgl.glTranslatef(0, 0, -400)

    pgl.glPushMatrix()
    pgl.glTranslatef(self.x, self.y, self.z)
    pgl.glRotatef(self.xRotation, 1, 0, 0)
    pgl.glRotatef(self.yRotation, 0, 1, 0)
    pgl.glRotatef(self.zRotation, 0, 0, 1)
    pgl.glScalef(self.zoom, self.zoom, self.zoom)

    if not transparant:
        pgl.glPolygonMode(pgl.GL_FRONT_AND_BACK, pgl.GL_FILL)
    else:
        pgl.glPolygonMode(pgl.GL_FRONT_AND_BACK, pgl.GL_LINE)

    # set and enable clip plane
    plane = plane = [-1.0, -1.0, -1.0, -280]
    ogl.glEnable(pgl.GL_CLIP_PLANE0)
    ogl.glClipPlane(pgl.GL_CLIP_PLANE0, plane)

    draw_big()
    ogl.glDisable(pgl.GL_CLIP_PLANE0)

    pgl.glPopMatrix()