Julia

julia.py

def julia(seed=Vector((-0.8, 0.156, 0.0)),
          points=[],
          exponent=Vector((2.0, 0.0, 0.0)),
          iterations=32,
          exclude_upper=False):
    results = []
    for point in points:
        result = julia_step(
            seed=seed,
            z=point,
            exponent=exponent,
            iterations=iterations,
            exclude_upper=exclude_upper)
        results.append(result)

    return results


def cube_julia(count=32,
               collection=context.collection,
               name='Julia',
               material=None,
               min_corner=Vector((-0.5, -0.5, 0.0)),
               max_corner=Vector((0.5, 0.5, 0.0)),
               seed=Vector((-0.8, 0.156, 0.0)),
               exponent=Vector((2.0, 0.0, 0.0)),
               iterations=32,
               exclude_upper_julia=False,
               fractal_offset=Vector((0.0, 0.0, 0.0)),
               fractal_scale=2.75,
               prune_cubes=True,
               prune_lower_bound=0.05,
               prune_upper_bound=1.0,
               min_cube_size=0.1,
               max_cube_size=0.9,
               cube_pivot=Vector((0.0, 0.0, -0.5)),
               easing_func=float_lerp):

    grid = gen_2d_grid(
        count=count,
        offset=fractal_offset,
        scale=fractal_scale,
        min_corner=min_corner,
        max_corner=max_corner)
    w = grid['width']
    h = grid['height']
    points = grid['points']
    dimensions = Vector((w, h, (w + h) * 0.5)) / count

    results = julia(
        seed=seed,
        points=points,
        exponent=exponent,
        iterations=iterations,
        exclude_upper=exclude_upper_julia)

    return visualize_fractal(
        collection=collection,
        name=name,
        material=material,
        results=results,
        fractal_center=fractal_offset,
        fractal_scale=fractal_scale,
        prune_cubes=prune_cubes,
        prune_lower_bound=prune_lower_bound,
        prune_upper_bound=prune_upper_bound,
        cube_pivot=cube_pivot,
        cube_size=dimensions,
        min_cube_size=min_cube_size,
        max_cube_size=max_cube_size,
        easing_func=easing_func)