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# -*- coding: utf-8 -*-
# Copyright (c) 2015 sugiany
# This file is distributed under the MIT License. See the LICENSE.md for more details.
import bpy
from bpy.props import IntProperty, BoolProperty, BoolVectorProperty, FloatVectorProperty, FloatProperty
import bpy
import mathutils
import copy
class MengerSponge(object):
FACE_INDICES = [
[3, 7, 4, 0],
[5, 6, 2, 1],
[1, 2, 3, 0],
[7, 6, 5, 4],
[4, 5, 1, 0],
[2, 6, 7, 3],
]
def __init__(self, level):
self.__level = level
self.__max_point_number = 3 ** level
self.__vertices_map = {}
self.__indices = []
self.__face_visibility = {}
self.__faces = []
for x in range(3):
for y in range(3):
for z in range(3):
self.__face_visibility[(x, y, z)] = [
x == 0 or x == 2 and (y == 1 or z == 1),
x == 2 or x == 0 and (y == 1 or z == 1),
y == 0 or y == 2 and (x == 1 or z == 1),
y == 2 or y == 0 and (x == 1 or z == 1),
z == 0 or z == 2 and (y == 1 or x == 1),
z == 2 or z == 0 and (y == 1 or x == 1),
]
def create(self, width, height):
m = self.__max_point_number
points = [
(0, 0, 0),
(m, 0, 0),
(m, 0, m),
(0, 0, m),
(0, m, 0),
(m, m, 0),
(m, m, m),
(0, m, m),
]
self.__make_sub_sponge(points, None, self.__level)
vertices = self.__make_vertices(width, height)
return vertices, self.__faces
def __get_vindex(self, p):
if p in self.__vertices_map:
return self.__vertices_map[p]
index = len(self.__vertices_map)
self.__vertices_map[p] = index
return index
def __make_vertices(self, width, height):
vertices = [None] * len(self.__vertices_map)
w2 = width / 2
h2 = height / 2
w_step = width / self.__max_point_number
h_step = height / self.__max_point_number
for p, i in sorted(self.__vertices_map.items(), key=lambda x: x[1]):
vertices[i] = mathutils.Vector([
p[0] * w_step - w2,
p[1] * w_step - w2,
p[2] * h_step - h2,
])
return vertices
def __make_sub_sponge(self, cur_points, face_vis, depth):
if depth <= 0:
if not face_vis:
face_vis = True * 6
cur_point_indices = []
for p in cur_points:
cur_point_indices.append(self.__get_vindex(p))
for i, vis in enumerate(face_vis):
if vis:
f = []
for vi in self.FACE_INDICES[i]:
f.append(cur_point_indices[vi])
self.__faces.append(f)
return
base = cur_points[0]
width = (cur_points[1][0] - base[0]) / 3
local_vert_map = {}
for z in range(4):
for y in range(4):
for x in range(4):
local_vert_map[(x, y, z)] = (
width * x + base[0],
width * y + base[1],
width * z + base[2],
)
for x in range(3):
for y in range(3):
for z in range(3):
if [x, y, z].count(1) > 1:
continue
next_points = [
local_vert_map[(x, y, z)],
local_vert_map[(x+1, y, z)],
local_vert_map[(x+1, y, z+1)],
local_vert_map[(x, y, z+1)],
local_vert_map[(x, y+1, z)],
local_vert_map[(x+1, y+1, z)],
local_vert_map[(x+1, y+1, z+1)],
local_vert_map[(x, y+1, z+1)],
]
visibility = copy.copy(self.__face_visibility[(x, y, z)])
if face_vis:
visibility[0] = visibility[0] and (face_vis[0] or x != 0)
visibility[1] = visibility[1] and (face_vis[1] or x != 2)
visibility[2] = visibility[2] and (face_vis[2] or y != 0)
visibility[3] = visibility[3] and (face_vis[3] or y != 2)
visibility[4] = visibility[4] and (face_vis[4] or z != 0)
visibility[5] = visibility[5] and (face_vis[5] or z != 2)
self.__make_sub_sponge(
next_points,
visibility,
depth - 1)
class AddMengerSponge(bpy.types.Operator):
"""Add a menger sponge"""
bl_idname = "mesh.menger_sponge_add"
bl_label = "Menger Sponge"
bl_options = {'REGISTER', 'UNDO'}
level = IntProperty(
name="Level",
description="Sponge Level",
min=0, max=4,
default=1,
)
radius = FloatProperty(
name="Width",
description="Sponge Radius",
min=0.01, max=100.0,
default=1.0,
)
# generic transform props
view_align = BoolProperty(
name="Align to View",
default=False,
)
location = FloatVectorProperty(
name="Location",
subtype='TRANSLATION',
)
rotation = FloatVectorProperty(
name="Rotation",
subtype='EULER',
)
layers = BoolVectorProperty(
name="Layers",
size=20,
subtype='LAYER',
options={'HIDDEN', 'SKIP_SAVE'},
)
def execute(self, context):
sponger = MengerSponge(self.level)
vertices, faces = sponger.create(self.radius * 2, self.radius * 2)
del sponger
mesh = bpy.data.meshes.new(name='Sponge')
mesh.from_pydata(vertices, [], faces)
uvs = [(0.0, 0.0), (0.0, 1.0), (1.0, 1.0), (1.0, 0.0)]
mesh.uv_textures.new()
for i, uvloop in enumerate(mesh.uv_layers.active.data):
uvloop.uv = uvs[i%4]
from bpy_extras import object_utils
object_utils.object_data_add(context, mesh, operator=self)
return {'FINISHED'}
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