Blender – Python – Multiplication Modulo 2D

Python code to create any circle of multiplication by modulo function with Blender. You choose the multiplication table and modulo

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Code python pour créer tous les cercles possibles de multiplication par une fonction modulo avec Blender. Vous choisissez la table de multiplication et le modulo.

import bpy
import bmesh
import math
import time
import random

# ********************************************************************
# X_Modulo_2D
# Blender version = 2.8
# Author = Doc OuatZat (DOZ) and by the way is creator (Patrick M)
# Web Site = docouatzat.com
# Mail = docouatzat@gmail.com
#
# Licence used = Creative Commons CC BY
# Check licence here : https://creativecommons.org
#
# Generate Multiplication by Modulo version 2D
# Master variables :
#   Nb_Modulo     Modulo apply to multiplication
#   TableMulti    Multiplication table
#   (bpy.context.object.data.bevel_depth) line for choosing your bevel
# ********************************************************************

Nb_Modulo = 200
TableMulti = 2

# Create collection
def create_collection(collection_name, parent_collection):
    if collection_name in bpy.data.collections:
        return bpy.data.collections[collection_name]
    else:
        new_collection = bpy.data.collections.new(collection_name)
        parent_collection.children.link(new_collection)
        return new_collection


# Create circle of points (vertices)
def circle(size, samples):
    points = []
    z = 0
    theta = math.radians(360)  # 2Pi
    alpha = theta / samples
    for a in range(0, samples, 1):
        angle = a * alpha
        x = size * math.cos(angle)
        y = size * math.sin(angle)
        points.append([x, y, z])
        rot = math.radians(270 + (a*(360/samples)))
    return points

# ------------------
# MAIN
# ------------------

# Create a new collection
newCol = create_collection("XModulo2D", bpy.context.scene.collection)

# Create vertices arround the circle
verts = circle(size=2, samples=Nb_Modulo)

tbedges = []
tbfaces = []

# Link vertices to create edges with multiplication table
for i in range(1, Nb_Modulo, 1):
    newedge = (i, (i*TableMulti) % Nb_Modulo)
    tbedges.append(newedge)

mesh = bpy.data.meshes.new("mesh_temp")
mesh.from_pydata(vertices=verts, edges=tbedges, faces=tbfaces)
mesh.update()

# create object from mesh
obj = bpy.data.objects.new("Multi_Modulo_2D", mesh)
scene = bpy.context.scene
newCol.objects.link(obj)


# convert to curve
# bevel
# convert back to mesh
bpy.ops.object.select_all(action='DESELECT')
view_layer = bpy.context.view_layer
obj.select_set(True)
view_layer.objects.active = obj
bpy.ops.object.convert(target='CURVE', keep_original=False)
bpy.context.object.data.dimensions = '3D'
bpy.context.object.data.bevel_depth = 0.005
bpy.context.object.data.bevel_resolution = 1  # 6 faces by segments
bpy.context.object.data.use_radius = False
bpy.context.object.data.twist_mode = 'Z_UP'
bpy.context.object.data.fill_mode = 'FULL'
bpy.ops.object.convert(target='MESH')

# End of script - Enjoy

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