examples/shield.py
def main():
    """Run main script"""
    # segments = number of segments to use for circles
    segments = 50
    # star_points = number of points (or sides) of the star
    star_points = 5
    # star_radius = radius of circle circumscribing the star
    star_radius = 2
    # ring_thickness = thickness of the colored rings
    ring_thickness = 1
    # sphere_radius = radius of sphere the shield will be deformed to
    sphere_radius = 2 * (star_radius + 3 * ring_thickness)

    # Star calculations:
    # Visually approximate a star by using multiple diamonds (i.e. scaled
    # squares) which overlap in the center. For the star calculations,
    # consider a central polygon with triangles attached to the edges, all
    # circumscribed by a circle.
    # polygon_radius = distance from center of circle to polygon edge midpoint
    polygon_radius = star_radius / \
        (1 + math.tan(math.radians(180 / star_points)) /
         math.tan(math.radians(90 / star_points)))
    # width = 1/2 width of polygon edge/outer triangle bottom
    width = polygon_radius * math.tan(math.radians(180 / star_points))
    # height = height of outer triangle
    height = width / math.tan(math.radians(90 / star_points))

    shield = mlx.FilterScript(file_out="shield.ply")

    # Create the colored front of the shield using several concentric
    # annuluses; combine them together and subdivide so we have more vertices
    # to give a smoother deformation later.
    mlx.create.annulus(shield, radius=star_radius, cir_segments=segments, color='blue')
    mlx.create.annulus(shield,
        radius1=star_radius + ring_thickness,
        radius2=star_radius,
        cir_segments=segments,
        color='red')
    mlx.create.annulus(shield,
        radius1=star_radius + 2 * ring_thickness,
        radius2=star_radius + ring_thickness,
        cir_segments=segments,
        color='white')
    mlx.create.annulus(shield,
        radius1=star_radius + 3 * ring_thickness,
        radius2=star_radius + 2 * ring_thickness,
        cir_segments=segments,
        color='red')
    mlx.layers.join(shield)
    mlx.subdivide.midpoint(shield, iterations=2)

    # Create the inside surface of the shield & translate down slightly so it
    # doesn't overlap the front.
    mlx.create.annulus(shield,
        radius1=star_radius + 3 * ring_thickness,
        cir_segments=segments,
        color='silver')
    mlx.transform.rotate(shield, axis='y', angle=180)
    mlx.transform.translate(shield, value=[0, 0, -0.005])
    mlx.subdivide.midpoint(shield, iterations=4)

    # Create a diamond for the center star. First create a plane, specifying
    # extra vertices to support the final deformation. The length from the
    # center of the plane to the corners should be 1 for ease of scaling, so
    # we use a side length of sqrt(2) (thanks Pythagoras!). Rotate the plane
    # by 45 degrees and scale it to stretch it out per the calculations above,
    # then translate it into place (including moving it up in z slightly so
    # that it doesn't overlap the shield front).
    mlx.create.grid(shield,
        size=math.sqrt(2),
        x_segments=10,
        y_segments=10,
        center=True,
        color='white')
    mlx.transform.rotate(shield, axis='z', angle=45)
    mlx.transform.scale(shield, value=[width, height, 1])
    mlx.transform.translate(shield, value=[0, polygon_radius, 0.001])

    # Duplicate the diamond and rotate the duplicates around, generating the
    # star.
    for _ in range(1, star_points):
        mlx.layers.duplicate(shield)
        mlx.transform.rotate(shield, axis='z', angle=360 / star_points)

    # Combine everything together and deform using a spherical function.
    mlx.layers.join(shield)
    mlx.transform.vert_function(shield,
        z_func='sqrt(%s-x^2-y^2)-%s+z' %
        (sphere_radius**2, sphere_radius))

    # Run the script using meshlabserver and generate the model
    shield.run_script()
    return None
def main():
    """Run main script"""
    # segments = number of segments to use for circles
    segments = 50
    # star_points = number of points (or sides) of the star
    star_points = 5
    # star_radius = radius of circle circumscribing the star
    star_radius = 2
    # ring_thickness = thickness of the colored rings
    ring_thickness = 1
    # sphere_radius = radius of sphere the shield will be deformed to
    sphere_radius = 2 * (star_radius + 3 * ring_thickness)

    # Star calculations:
    # Visually approximate a star by using multiple diamonds (i.e. scaled
    # squares) which overlap in the center. For the star calculations,
    # consider a central polygon with triangles attached to the edges, all
    # circumscribed by a circle.
    # polygon_radius = distance from center of circle to polygon edge midpoint
    polygon_radius = star_radius / \
        (1 + math.tan(math.radians(180 / star_points)) /
         math.tan(math.radians(90 / star_points)))
    # width = 1/2 width of polygon edge/outer triangle bottom
    width = polygon_radius * math.tan(math.radians(180 / star_points))
    # height = height of outer triangle
    height = width / math.tan(math.radians(90 / star_points))

    shield = mlx.FilterScript(file_out="shield.ply")

    # Create the colored front of the shield using several concentric
    # annuluses; combine them together and subdivide so we have more vertices
    # to give a smoother deformation later.
    mlx.create.annulus(shield, radius=star_radius, cir_segments=segments, color='blue')
    mlx.create.annulus(shield,
        radius1=star_radius + ring_thickness,
        radius2=star_radius,
        cir_segments=segments,
        color='red')
    mlx.create.annulus(shield,
        radius1=star_radius + 2 * ring_thickness,
        radius2=star_radius + ring_thickness,
        cir_segments=segments,
        color='white')
    mlx.create.annulus(shield,
        radius1=star_radius + 3 * ring_thickness,
        radius2=star_radius + 2 * ring_thickness,
        cir_segments=segments,
        color='red')
    mlx.layers.join(shield)
    mlx.subdivide.midpoint(shield, iterations=2)

    # Create the inside surface of the shield & translate down slightly so it
    # doesn't overlap the front.
    mlx.create.annulus(shield,
        radius1=star_radius + 3 * ring_thickness,
        cir_segments=segments,
        color='silver')
    mlx.transform.rotate(shield, axis='y', angle=180)
    mlx.transform.translate(shield, value=[0, 0, -0.005])
    mlx.subdivide.midpoint(shield, iterations=4)

    # Create a diamond for the center star. First create a plane, specifying
    # extra vertices to support the final deformation. The length from the
    # center of the plane to the corners should be 1 for ease of scaling, so
    # we use a side length of sqrt(2) (thanks Pythagoras!). Rotate the plane
    # by 45 degrees and scale it to stretch it out per the calculations above,
    # then translate it into place (including moving it up in z slightly so
    # that it doesn't overlap the shield front).
    mlx.create.grid(shield,
        size=math.sqrt(2),
        x_segments=10,
        y_segments=10,
        center=True,
        color='white')
    mlx.transform.rotate(shield, axis='z', angle=45)
    mlx.transform.scale(shield, value=[width, height, 1])
    mlx.transform.translate(shield, value=[0, polygon_radius, 0.001])

    # Duplicate the diamond and rotate the duplicates around, generating the
    # star.
    for _ in range(1, star_points):
        mlx.layers.duplicate(shield)
        mlx.transform.rotate(shield, axis='z', angle=360 / star_points)

    # Combine everything together and deform using a spherical function.
    mlx.layers.join(shield)
    mlx.transform.vert_function(shield,
        z_func='sqrt(%s-x^2-y^2)-%s+z' %
        (sphere_radius**2, sphere_radius))

    # Run the script using meshlabserver and generate the model
    shield.run_script()
    return None
def main ( ) : # segments = number of segments to use for circles segments = 50 # star_points = number of points (or sides) of the star star_points = 5 # star_radius = radius of circle circumscribing the star star_radius = 2 # ring_thickness = thickness of the colored rings ring_thickness = 1 # sphere_radius = radius of sphere the shield will be deformed to sphere_radius = 2 * ( star_radius + 3 * ring_thickness ) # Star calculations: # Visually approximate a star by using multiple diamonds (i.e. scaled # squares) which overlap in the center. For the star calculations, # consider a central polygon with triangles attached to the edges, all # circumscribed by a circle. # polygon_radius = distance from center of circle to polygon edge midpoint polygon_radius = star_radius / ( 1 + math . tan ( math . radians ( 180 / star_points ) ) / math . tan ( math . radians ( 90 / star_points ) ) ) # width = 1/2 width of polygon edge/outer triangle bottom width = polygon_radius * math . tan ( math . radians ( 180 / star_points ) ) # height = height of outer triangle height = width / math . tan ( math . radians ( 90 / star_points ) ) shield = mlx . FilterScript ( file_out = "shield.ply" ) # Create the colored front of the shield using several concentric # annuluses; combine them together and subdivide so we have more vertices # to give a smoother deformation later. mlx . create . annulus ( shield , radius = star_radius , cir_segments = segments , color = 'blue' ) mlx . create . annulus ( shield , radius1 = star_radius + ring_thickness , radius2 = star_radius , cir_segments = segments , color = 'red' ) mlx . create . annulus ( shield , radius1 = star_radius + 2 * ring_thickness , radius2 = star_radius + ring_thickness , cir_segments = segments , color = 'white' ) mlx . create . annulus ( shield , radius1 = star_radius + 3 * ring_thickness , radius2 = star_radius + 2 * ring_thickness , cir_segments = segments , color = 'red' ) mlx . layers . join ( shield ) mlx . subdivide . midpoint ( shield , iterations = 2 ) # Create the inside surface of the shield & translate down slightly so it # doesn't overlap the front. mlx . create . annulus ( shield , radius1 = star_radius + 3 * ring_thickness , cir_segments = segments , color = 'silver' ) mlx . transform . rotate ( shield , axis = 'y' , angle = 180 ) mlx . transform . translate ( shield , value = [ 0 , 0 , - 0.005 ] ) mlx . subdivide . midpoint ( shield , iterations = 4 ) # Create a diamond for the center star. First create a plane, specifying # extra vertices to support the final deformation. The length from the # center of the plane to the corners should be 1 for ease of scaling, so # we use a side length of sqrt(2) (thanks Pythagoras!). Rotate the plane # by 45 degrees and scale it to stretch it out per the calculations above, # then translate it into place (including moving it up in z slightly so # that it doesn't overlap the shield front). mlx . create . grid ( shield , size = math . sqrt ( 2 ) , x_segments = 10 , y_segments = 10 , center = True , color = 'white' ) mlx . transform . rotate ( shield , axis = 'z' , angle = 45 ) mlx . transform . scale ( shield , value = [ width , height , 1 ] ) mlx . transform . translate ( shield , value = [ 0 , polygon_radius , 0.001 ] ) # Duplicate the diamond and rotate the duplicates around, generating the # star. for _ in range ( 1 , star_points ) : mlx . layers . duplicate ( shield ) mlx . transform . rotate ( shield , axis = 'z' , angle = 360 / star_points ) # Combine everything together and deform using a spherical function. mlx . layers . join ( shield ) mlx . transform . vert_function ( shield , z_func = 'sqrt(%s-x^2-y^2)-%s+z' % ( sphere_radius ** 2 , sphere_radius ) ) # Run the script using meshlabserver and generate the model shield . run_script ( ) return None
Run main script
Run main script