Blender – Python – Multiplication Modulo 3D

Python code to create any sphere of multiplication by modulo function with Blender. The algorithm used to create the sphere with equitably distributed points around is inspired by Fibonacci sequence. You choose the multiplication table and modulo

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Code python pour créer toutes les sphères possibles de multiplication par une fonction modulo avec Blender. L’algorithme utilisé pour créer la sphère avec des points distribués équitablement autour est inspiré par la suite de Fibonacci. Vous choisissez la table de multiplication et le modulo.

import bpy
import math
import time
import random

# ********************************************************************
# X_Modulo_3D
# 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
# ********************************************************************


# 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 vertices on sphere surface
def Points_Sphere(samples, randomizer):
    rnd = 1.0
    random.seed(randomizer)
    rnd = random.random() * samples
    points = []
    offset = 2.0 / samples
    inc = math.pi * (3. - math.sqrt(5.))
    for i in range(samples):
        y = ((i * offset) - 1) + (offset / 2)
        phi = ((i + rnd) % samples) * inc
        r = math.sqrt(1 - pow(y, 2))
        x = math.cos(phi) * r
        z = math.sin(phi) * r
        points.append([x, y, z])
    return points

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

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

Nb_Modulo = 1000
TableMulti = 2

verts = Points_Sphere(Nb_Modulo, randomizer=20)

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

# Generate Edges
for i in range(1, Nb_Modulo, 1):
    mesh.edges.add(i)
    edge = mesh.edges[-1]
    edge.vertices = (i, (i * TableMulti) % Nb_Modulo)

mesh.update()

# Create object from mesh
obj = bpy.data.objects.new("Multi_Modulo_3D", 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.bevel_depth = 0.002
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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