Newer
Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
'''
bl_addon_info = {
'name': 'Add Mesh: SuperToroid',
'author': 'DreamPainter',
'version': '1',
'blender': (2, 5, 3),
'location': 'View3D > Add > Mesh > SuperToroid',
'description': 'Add a SuperToroid mesh',
'url': 'http://wiki.blender.org/index.php/Extensions:2.5/Py/' \
'Scripts/Add_Mesh/', # no url
'category': 'Add Mesh'}
'''
import bpy
from bpy.props import FloatProperty,BoolProperty,IntProperty
from math import pi, cos, sin
from mathutils import Vector
from bpy_extras import object_utils
# Create a new mesh (object) from verts/edges/faces.
# verts/edges/faces ... List of vertices/edges/faces for the
# new mesh (as used in from_pydata).
# name ... Name of the new mesh (& object).
def create_mesh_object(context, verts, edges, faces, name):
# Create new mesh
mesh = bpy.data.meshes.new(name)
# Make a mesh from a list of verts/edges/faces.
mesh.from_pydata(verts, edges, faces)
# Update mesh geometry after adding stuff.
mesh.update()
from bpy_extras import object_utils
return object_utils.object_data_add(context, mesh, operator=None)
# A very simple "bridge" tool.
# Connects two equally long vertex rows with faces.
# Returns a list of the new faces (list of lists)
#
# vertIdx1 ... First vertex list (list of vertex indices).
# vertIdx2 ... Second vertex list (list of vertex indices).
# closed ... Creates a loop (first & last are closed).
# flipped ... Invert the normal of the face(s).
#
# Note: You can set vertIdx1 to a single vertex index to create
# a fan/star of faces.
# Note: If both vertex idx list are the same length they have
# to have at least 2 vertices.
def createFaces(vertIdx1, vertIdx2, closed=False, flipped=False):
faces = []
if not vertIdx1 or not vertIdx2:
return None
if len(vertIdx1) < 2 and len(vertIdx2) < 2:
return None
fan = False
if (len(vertIdx1) != len(vertIdx2)):
if (len(vertIdx1) == 1 and len(vertIdx2) > 1):
fan = True
else:
return None
total = len(vertIdx2)
if closed:
# Bridge the start with the end.
if flipped:
face = [
vertIdx1[0],
vertIdx2[0],
vertIdx2[total - 1]]
if not fan:
face.append(vertIdx1[total - 1])
faces.append(face)
else:
face = [vertIdx2[0], vertIdx1[0]]
if not fan:
face.append(vertIdx1[total - 1])
face.append(vertIdx2[total - 1])
faces.append(face)
# Bridge the rest of the faces.
for num in range(total - 1):
if flipped:
if fan:
face = [vertIdx2[num], vertIdx1[0], vertIdx2[num + 1]]
else:
face = [vertIdx2[num], vertIdx1[num],
vertIdx1[num + 1], vertIdx2[num + 1]]
faces.append(face)
else:
if fan:
face = [vertIdx1[0], vertIdx2[num], vertIdx2[num + 1]]
else:
face = [vertIdx1[num], vertIdx2[num],
vertIdx2[num + 1], vertIdx1[num + 1]]
faces.append(face)
return faces
def power(a,b):
if a < 0:
return -((-a)**b)
return a**b
def supertoroid(R,r,u,v,n1,n2):
"""
R = big radius
r = small radius
u = lateral segmentation
v = radial segmentation
n1 = value determines the shape of the torus
n2 = value determines the shape of the cross-section
"""
# create the necessary constants
a = 2*pi/u
b = 2*pi/v
verts = []
faces = []
# create each cross-section by calculating each vector on the
# the wannabe circle
# x = (cos(theta)**n1)*(R+r*(cos(phi)**n2))
# y = (sin(theta)**n1)*(R+r*(cos(phi)**n2))
# z = (r*sin(phi)**n2)
# with theta and phi rangeing from 0 to 2pi
for i in range(u):
s = power(sin(i*a),n1)
c = power(cos(i*a),n1)
for j in range(v):
c2 = R+r*power(cos(j*b),n2)
s2 = r*power(sin(j*b),n2)
verts.append(Vector((c*c2,s*c2,s2)))
# bridge the last circle with the previous circle
if i > 0: # but not for the first circle, 'cus there's no previous before the first
f = createFaces(range((i-1)*v,i*v),range(i*v,(i+1)*v),closed = True)
faces.extend(f)
# bridge the last circle with the first
f = createFaces(range((u-1)*v,u*v),range(v),closed=True)
faces.extend(f)
return verts, faces
class add_supertoroid(bpy.types.Operator):
"""Add a SuperToroid"""
bl_idname = "mesh.primitive_supertoroid_add"
bl_label = "Add SuperToroid"
bl_description = "Create a SuperToroid"
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
R = FloatProperty(name = "big radius",
description = "The radius inside the tube",
default = 1.0, min = 0.01, max = 100.0)
r = FloatProperty(name = "small radius",
description = "The radius of the tube",
default = 0.3, min = 0.01, max = 100.0)
u = IntProperty(name = "U-segments",
description = "radial segmentation",
default = 16, min = 3, max = 265)
v = IntProperty(name = "V-segments",
description = "lateral segmentation",
default = 8, min = 3, max = 265)
n1 = FloatProperty(name = "Ring manipulator",
description = "Manipulates the shape of the Ring",
default = 1.0, min = 0.01, max = 100.0)
n2 = FloatProperty(name = "Cross manipulator",
description = "Manipulates the shape of the cross-section",
default = 1.0, min = 0.01, max = 100.0)
ie = BoolProperty(name = "Use Int.+Ext. radii",
description = "Use internal and external radii",
default = False)
edit = BoolProperty(name="",
description="",
default=False,
options={'HIDDEN'})
def execute(self,context):
props = self.properties
# check how the radii properties must be used
if props.ie:
rad1 = (props.R+props.r)/2
rad2 = (props.R-props.r)/2
# for consistency in the mesh, ie no crossing faces, make the largest of the two
# the outer radius
if rad2 > rad1:
[rad1,rad2] = [rad2,rad1]
else:
rad1 = props.R
rad2 = props.r
# again for consistency, make the radius in the tube,
# at least as big as the radius of the tube
if rad2 > rad1:
rad1 = rad2
# create mesh
verts,faces = supertoroid(rad1,
rad2,
props.u,
props.v,
props.n1,
props.n2)
# create the object
obj = create_mesh_object(context, verts, [], faces, "SuperToroid")
return {'FINISHED'}
'''
menu_func = lambda self, context: self.layout.operator(add_supertoroid.bl_idname,
text = "SuperToroid", icon = 'PLUGIN')
def register():
bpy.types.register(add_supertoroid)
bpy.types.INFO_MT_mesh_add.append(menu_func)
def unregister():
bpy.types.unregister(add_supertoroid)
bpy.types.INFO_MT_mesh_add.remove(menu_func)
if __name__ == "__main__":
register()
