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# GPL # "author": Paulo_Gomes
import bpy
from mathutils import Quaternion, Vector
from math import cos, sin, pi
from bpy.props import (
FloatProperty,
IntProperty,
BoolProperty,
)
# 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
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 add_twisted_torus(major_rad, minor_rad, major_seg, minor_seg, twists):
PI_2 = pi * 2.0
z_axis = (0.0, 0.0, 1.0)
verts = []
faces = []
edgeloop_prev = []
for major_index in range(major_seg):
quat = Quaternion(z_axis, (major_index / major_seg) * PI_2)
rot_twists = PI_2 * major_index / major_seg * twists
edgeloop = []
# Create section ring
for minor_index in range(minor_seg):
angle = (PI_2 * minor_index / minor_seg) + rot_twists
vec = Vector((
major_rad + (cos(angle) * minor_rad),
0.0,
sin(angle) * minor_rad))
vec = quat @ vec
edgeloop.append(len(verts))
verts.append(vec)
# Remember very first edgeloop
if major_index == 0:
edgeloop_first = edgeloop
# Bridge last with current ring
if edgeloop_prev:
f = createFaces(edgeloop_prev, edgeloop, closed=True)
faces.extend(f)
edgeloop_prev = edgeloop
# Bridge first and last ring
f = createFaces(edgeloop_prev, edgeloop_first, closed=True)
faces.extend(f)
return verts, faces
class AddTwistedTorus(bpy.types.Operator):
bl_idname = "mesh.primitive_twisted_torus_add"
bl_label = "Add Twisted Torus"
bl_description = "Construct a twisted torus mesh"
bl_options = {'REGISTER', 'UNDO', 'PRESET'}
major_radius: FloatProperty(
name="Major Radius",
description="Radius from the origin to the"
" center of the cross section",
min=0.01,
max=100.0,
default=1.0
)
minor_radius: FloatProperty(
name="Minor Radius",
description="Radius of the torus' cross section",
min=0.01,
max=100.0,
default=0.25
)
major_segments: IntProperty(
name="Major Segments",
description="Number of segments for the main ring of the torus",
min=3,
max=256,
default=48
)
minor_segments: IntProperty(
name="Minor Segments",
description="Number of segments for the minor ring of the torus",
min=3,
max=256,
default=12
)
twists: IntProperty(
name="Twists",
description="Number of twists of the torus",
min=0,
max=256,
default=1
)
use_abso: BoolProperty(
name="Use Int/Ext Controls",
description="Use the Int/Ext controls for torus dimensions",
default=False
)
abso_major_rad: FloatProperty(
name="Exterior Radius",
description="Total Exterior Radius of the torus",
min=0.01,
max=100.0,
default=1.0
)
abso_minor_rad: FloatProperty(
name="Inside Radius",
description="Total Interior Radius of the torus",
min=0.01,
max=100.0,
default=0.5
)
def execute(self, context):
if self.use_abso is True:
extra_helper = (self.abso_major_rad - self.abso_minor_rad) * 0.5
self.major_radius = self.abso_minor_rad + extra_helper
self.minor_radius = extra_helper
verts, faces = add_twisted_torus(
self.major_radius,
self.minor_radius,
self.major_segments,
self.minor_segments,
self.twists
)
# Create the mesh object from this geometry data.
obj = create_mesh_object(context, verts, [], faces, "TwistedTorus")
return {'FINISHED'}
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