Hey, I made this tiny script to display (parametric) math functions in Blender with Python. Perhaps people can use this to make other AMP’s or got idea’s for different AMP’s. :RocknRoll:
# Dune2k / Lars - 2012
# Parametric Functions into blocks on the z-axis
import bpy
from math import *
rows = 25 #amount of boxes, don't go too high
steps = 2/rows
x=0
y=0
for y in range(1,rows):
for x in range(1,rows):
### setting up box stuff
bpy.ops.mesh.primitive_cube_add(location= (x*steps,y*steps,0) )
bpy.context.scene.cursor_location = bpy.context.active_object.location
bpy.context.scene.cursor_location.z -= 1
bpy.ops.object.origin_set(type='ORIGIN_CURSOR')
### determining boxes
bpy.context.active_object.scale.x = steps/2 # change for space between cubes
bpy.context.active_object.scale.y = steps/2
## the formula:
bpy.context.active_object.scale.z = (-(x*steps)**3-(y*steps)**3+20)*.1
@Dune2k,
These are great! As soon as I get a free minute I’m going to try to make a few my own, but slammed with work. For anyone looking at ideas for this, here’s a great resource: http://functions.wolfram.com/
I played around a bit with this but I got stuck on the materials. Are you applying materials to your objects or is everything being done though lighting? If you are using mats, how are you getting them all assigned to the cubes so you don’t have to do it 255 times? I looked briefly at scripting it but I’ve never messed around with adding mats though Python.
Ahh, waiting for the wife to get home on Friday night so we can go out. Decided to see if I could do the material change. Threw this together really quick which assigns a random material to each polygon/face.
One weird thing, when switching in and out of edit mode and using a for loop to iterate through, the index would get all messed up if I switch mode_set from edit to object. Strange, but this code works.
import bpy, random
obj = bpy.context.object
polys = obj.data.polygons
def newMat():
mat = bpy.data.materials.new("Mat1")
mat.diffuse_color = (random.random(), random.random(), random.random())
return mat
# Need this "X" for iterating through index
# i.index below not working correctly when switching object mode??
x=0
for i in polys:
bpy.ops.object.material_slot_add()
obj.material_slots[x].material = newMat()
polys[x].select = True
bpy.ops.object.mode_set(mode='EDIT')
bpy.ops.object.material_slot_assign()
bpy.ops.mesh.select_all(action='DESELECT')
bpy.ops.object.mode_set(mode='OBJECT')
x += 1
I used the lights for color effect and then edited it in Gimp for better contrast and stuff. Last render I used the “b” for box tool, selected all the objects and joined them with “ctrl+j”. Then I only had to add one material.
@crazycourier,
Thanks for the code, but it would nicer if I could change the material while in the “creating loop”. So that we can add different materials to different objects based also on a math formula. This way you get a z-axis based on a formula and the color. Double effect! The problem is, how do you change the material on a “bpy.context.active_object” ?
//edit: I found it. Just add this after the formula in the first python code. Where “pasta” is of course a previously made material.
New code to add different materials called ‘pasta’ and ‘trico’ with checkerboard set-up. Code could perhaps be more pretty.
Example of effect:
rows = 12
steps = pi/rows
for y in range(0,rows):
for x in range(0,rows):
### setting up box stuff
bpy.ops.mesh.primitive_cube_add(location= (x*steps,y*steps,0) )
bpy.context.scene.cursor_location = bpy.context.active_object.location
bpy.context.scene.cursor_location.z -= 1
bpy.ops.object.origin_set(type='ORIGIN_CURSOR')
### determining boxes
bpy.context.active_object.scale.x = steps/3 # change for space between cubes
bpy.context.active_object.scale.y = steps/3
## the formula:
bpy.context.active_object.scale.z = (exp((x*steps))+exp((y*steps)))*.1
bpy.ops.object.material_slot_add()
a = x
if (-1)**y <= 0:
a += 1
if (-1)**a <= 0:
bpy.context.active_object.material_slots[0].material = bpy.data.materials["pasta"]
else:
bpy.context.active_object.material_slots[0].material = bpy.data.materials["trico"]
I didn’t go so far as to assign materials or even give it a nice render for you guys. But I had some fun with this idea the other day and would like to share it here. It uses a quadratic equation to determine z scale, as it places boxes in all 8 portions of the grid.
# Drek: March the thirtieth twenty twelve
import bpy, math
layers = 128
for c in range (0,4):
if c == 0:
x = 1
y = 1
if c == 1:
x = 1
y = -1
if c == 2:
x = -1
y = 1
if c == 3:
x = -1
y = -1
for m in range (0,2):
if m == 0:
z = 1
else:
z = -1
for i in range(1,layers):
bpy.ops.mesh.primitive_cube_add()
bpy.context.active_object.location.x = (x*i)/2
bpy.context.active_object.location.y = (y*i)/2
bpy.context.active_object.location.z = (z*i)/2
bpy.context.active_object.scale.x=1
bpy.context.active_object.scale.y=1
bpy.context.active_object.scale.z=((i)+(2*(i)**2)+(3*(i)**3))/100000
Awesome Dune2K, Thank you!! It does look more alive than mathematical, creepy!
This was a whole lot of fun for me, a great exercise for any level of coder.
The code for the hexagon sea effect (other effect also possible, change z-formula). Make sure the object is called “six” or adjust the code. To make a hexagon, just use “add circle” and use 6 sides/vertices (+ fill).
# Select the "six" object and duplicate it like a formula!
# Dune2k / Lars 2012
import bpy
from math import *
tau = 2*pi
the_object = 'six'
if bpy.data.objects[the_object].select:
six_len = (3**.5) # x-size of hexagon
total = 20 # amount of steps (>40 will make PC crawl for a while)
max_value = 2*tau # max value for formula (>tau is sea effect)
steps = max_value/total
scaler = 1 # scale formula (not used)
for q in range(0,total):
bpy.ops.object.select_all()
bpy.data.objects[the_object].select = True
for i in range(0,total):
bpy.ops.object.select_all()
bpy.data.objects[the_object].select = True
if (-1)**q < 0:
x = six_len/2+six_len*i
else:
x = six_len*i
y = q*1.5
z = sin(steps*i)+sin(steps*q)
bpy.ops.object.duplicate_move(TRANSFORM_OT_translate={"value":(x,y,z)})
I personally really lover number 3 from my first post. It has so many elements in it.
Great idea for a thread, interested to see what others come up with.
