Notifications
Clear all

[Closed] fibonacci / golden ratio

Hey there,

I’m trying to show the fibonacci spiral onto the viewport but I don’t get it.
I handled to display something on the screen but not a spiral…

( 
  	fibonacci_array = #()
  	
  	gw.setColor #line yellow
  		for i = 1 to 22 do
  		(
  		x = 1.618*i
  		y = -0.618^-i
  		--m = ((x-y)/2.2361)
  		append fibonacci_array ([x,y,0])
  		)
  	gw.wPolyline fibonacci_array false
  	
  	gw.wText ([4,30,0]) "fibonacci spiral" color:yellow
  		
  	gw.enlargeUpdateRect #whole
  	gw.updateScreen()
  )
  

Thank You!

7 Replies

that’s because you’re not actually drawing a spiral, near’s I can tell.


myShape = splineshape()
addNewSpline myShape
for p in fibonacci_array do ( addKnot myShape 1 #corner #line p )
updateShape myShape
myShape.vertexTicks = true

Might want to review your code for generating the spiral – if nothing else, the X coordinate shouldn’t be a linear progression

Thanks for your answer but I need to display this kind of spiral in the view-/cameraport
like this one

Exactly like in this image with rectangles and this spiral…

I started now to make the rectangles “hardcoded” but there must be a formula for this, too… did not find an answer, yet…


maxWidth = gw.getWinSizeX()
maxHeight = gw.getWinSizeY()

 gw.setColor #line orange
 gw.wPolyline #([0,0,0],[maxWidth*0.618,0,0],[maxWidth*0.618,maxHeight-1,0],[0,maxHeight-1,0]) true
 gw.wPolyline #([maxWidth*0.618,0,0],[maxWidth-1,0,0],[maxWidth-1,maxHeight*0.618,0],[maxWidth*0.618,maxHeight*0.618,0]) true
 

adding this line

gw.setColor #line red
		gw.wPolyline #([maxWidth-1,maxHeight*0.618,0],[maxWidth-1,maxHeight-1,0],[maxWidth-((maxWidth-(maxWidth*0.618))*0.618),maxHeight-1,0],[maxWidth-((maxWidth-(maxWidth*0.618))*0.618),maxHeight*0.618,0]) true

makes the next rectangle (number 55 on the image)

I’m not good at math so I can’t see a formula…

I wrote a script about the rectangles of a Fibonacci Spiral (not golden ration though…) on |[Pixelplausch.de]| . Maybe it helps you…

you might find this useful too –

http://www.scriptspot.com/3ds-max/golden-guides

Hey, thank you all!
I hope that helps.

I came out with this after trying the link from Piflik. It seems to work in one way or another but for displaying it on the screen/viewport it should be kind of reversed to split the screen like on this image. Any ideas on how to reverse this??

After this change there still is the problem with the spiral but there doesn’t seem to be code for this, no curves just polygons and polylines…?

(
global fibonacci_array = #()

--maxWidth = gw.getWinSizeX()
--maxHeight = gw.getWinSizeY()
	
global w = 15
global pos_Alt =[0,1,0]  -- old position

fn drawQuad x y w h =
(
	gw.wPolyline #([x,y,0],[x+w,y,0],[x+w,y+h,0],[x,y+h,0]) true
)
	
fibonacci_array[1] = 1  -- first 2 fibonacci numbers
fibonacci_array[2] = 1

gw.setColor #line orange
gw.wText ([4,30,0]) "fibonacci spiral" color:orange
	
drawQuad 0 0 1 1
drawQuad 1 0 1 1
	
for i = 3 to 12 do
(
  fibonacci_array[i] = fibonacci_array[i-1] + fibonacci_array[i-2]
  
  if i < w then
  (	
	a = fibonacci_array[i]/2 as float 
	b = fibonacci_array[i-1]/2 as float
	c = fibonacci_array[i-2]/2 as float
  
	case of
	(
	  (mod i 4 == 3): pos_Neu = [a+b,-1*c,0]			
	  (mod i 4 == 0): pos_Neu = [-1*c,-1*(a+b),0]  
	  (mod i 4 == 1): pos_Neu = [-1*(a+b),c,0]
	  (mod i 4 == 2): pos_Neu = [c,a+b,0]
	)
	position = pos_Alt + pos_Neu
	drawQuad position.x position.y fibonacci_array[i] fibonacci_array[i]
	pos_Alt = position
  )

)

gw.enlargeUpdateRect #whole
gw.updateScreen()
)