Mandelbrot fractal maker

[kraftman]

whats the diffrence?!
your in both ways making the numbers bigger/smaller
and even when i do that, it WONT work.

There's a big difference.

Currently, you are plotting onto a cartesian plane between 1.5 and 0.3 in the x, and -1.5 and 1.5 in the y. You are splitting this grid based on the size, and checking each point to see if it matches the criteria.

if you multiply 1.5 and -0.3 by 0.9 you get 1.35 and -0.27, so the mesh is finer, and slightly more zoomed in.
if you add and subtract 0.9 respectively, in the x plane you get 2.4 and -1.2, which results in zooming out by quite a large degree in the x plane. In the y plane, you end up zooming in.

[GijsB]

okee..

[GijsB]

then why is this too not working :

Code: Select all

resolution =2

size = 100
kt = 50
m = 4.0
xmin = 2.1
xmax = -0.6
ymin = -1.5
ymax = 1.5
dx = (xmax-xmin)/size
dy = (ymax-ymin)/size
pixels = {}
function run()
function MainCalculation(jx, jy, wx, wy, k)
   local tx = wx*wx-(wy*wy+jx)
   local ty = 2.0*wx*wy+jy
   if tx*tx+ty*ty<=m and k<kt then 
      return MainCalculation(jx, jy, tx, ty, k + 1)
   end
   return k
end
for x = 0,size,resolution do
   local jx = xmin+x*dx
   for y = 0,size,resolution do
      local jy = ymin+y*dy
      table.insert(pixels,{X = x, Y = y, C = MainCalculation(jx, jy, 0, 0, 0)})
   end
end
end
run()
function love.draw()
	for i,v in pairs(pixels) do
		love.graphics.setColor( -v.C, -v.C, -v.C, 255 )
		love.graphics.rectangle("fill",v.X,v.Y,resolution,resolution)
	end
end
function love.keypressed(k)
	if k == "right" then
		xmin = xmin*0.9
		xmax = xmax*0.9
		ymin = ymin*0.9
		ymax = ymax*0.9	
	elseif k == "left" then
		xmin = xmin/0.9
		xmax = xmax/0.9
		ymin = ymin/0.9
		ymax = ymax/0.9	
	end
	run()
end

[kraftman]

In other words, the difference is which numbers you make bigger/smaller, and by how much.

[kraftman]

then why is this too not working :

Code: Select all

resolution =2

size = 100
kt = 50
m = 4.0
xmin = 2.1
xmax = -0.6
ymin = -1.5
ymax = 1.5
dx = (xmax-xmin)/size
dy = (ymax-ymin)/size
pixels = {}
function run()
function MainCalculation(jx, jy, wx, wy, k)
   local tx = wx*wx-(wy*wy+jx)
   local ty = 2.0*wx*wy+jy
   if tx*tx+ty*ty<=m and k<kt then 
      return MainCalculation(jx, jy, tx, ty, k + 1)
   end
   return k
end
for x = 0,size,resolution do
   local jx = xmin+x*dx
   for y = 0,size,resolution do
      local jy = ymin+y*dy
      table.insert(pixels,{X = x, Y = y, C = MainCalculation(jx, jy, 0, 0, 0)})
   end
end
end
run()
function love.draw()
	for i,v in pairs(pixels) do
		love.graphics.setColor( -v.C, -v.C, -v.C, 255 )
		love.graphics.rectangle("fill",v.X,v.Y,resolution,resolution)
	end
end
function love.keypressed(k)
	if k == "right" then
		xmin = xmin*0.9
		xmax = xmax*0.9
		ymin = ymin*0.9
		ymax = ymax*0.9	
	elseif k == "left" then
		xmin = xmin/0.9
		xmax = xmax/0.9
		ymin = ymin/0.9
		ymax = ymax/0.9	
	end
	run()
end

because you forgot to update dx and dy

[GijsB]

i now have this but when you go up or down, and then zoom in/out it makes the ymax and ymin randomly smaller/bigger >_<

Code: Select all

resolution =2

size = 300
kt = 50
m = 4.0
xmin = 2.1
xmax = -0.6
ymin = -1.5
ymax = 1.5
dx = (xmax-xmin)/size
dy = (ymax-ymin)/size
pixels = {}
function run()
pixels = {}
function MainCalculation(jx, jy, wx, wy, k)
   local tx = wx*wx-(wy*wy+jx)
   local ty = 2.0*wx*wy+jy
   if tx*tx+ty*ty<=m and k<kt then 
      return MainCalculation(jx, jy, tx, ty, k + 1)
   end
   return k
end
for x = 0,size,resolution do
   local jx = xmin+x*dx
   for y = 0,size,resolution do
      local jy = ymin+y*dy
      table.insert(pixels,{X = x, Y = y, C = MainCalculation(jx, jy, 0, 0, 0)})
   end
end
end
run()
function love.draw()
	for i,v in pairs(pixels) do
		love.graphics.setColor( -v.C, -v.C, -v.C, 255 )
		love.graphics.rectangle("fill",v.X,v.Y,resolution,resolution)
	end
end
function love.keypressed(k)
	if k == "d" then
		xmin = xmin*0.9
		xmax = xmax*0.9
		run()
	elseif k == "a" then
		xmin = xmin/0.9
		xmax = xmax/0.9
		run()
	elseif k == "s" then
		ymin = ymin*0.9
		ymax = ymax*0.9
		run()
	elseif k == "w" then
		ymin = ymin/0.9
		ymax = ymax/0.9		
		run()
	elseif k == "q" then
		xmin = xmin*0.9
		xmax = xmax*0.9
		ymin = ymin*0.9
		ymax = ymax*0.9
		dx = (xmax-xmin)/size
		dy = (ymax-ymin)/size
		run()
	elseif k == "e" then
		xmin = xmin/0.9
		xmax = xmax/0.9
		ymin = ymin/0.9
		ymax = ymax/0.9		
		dx = (xmax-xmin)/size
		dy = (ymax-ymin)/size
		run()
	end
end

[TechnoCat]

Simply? Aren't threads a lot harder to figure out how to code? I know I've never known how to use them. Tell me how!

Haha, yes. Simply.

[GijsB]

wow what are you guys doing to my code 3:

[kraftman]

i now have this but when you go up or down, and then zoom in/out it makes the ymax and ymin randomly smaller/bigger >_<

Code: Select all

resolution =2

size = 300
kt = 50
m = 4.0
xmin = 2.1
xmax = -0.6
ymin = -1.5
ymax = 1.5
dx = (xmax-xmin)/size
dy = (ymax-ymin)/size
pixels = {}
function run()
pixels = {}
function MainCalculation(jx, jy, wx, wy, k)
   local tx = wx*wx-(wy*wy+jx)
   local ty = 2.0*wx*wy+jy
   if tx*tx+ty*ty<=m and k<kt then 
      return MainCalculation(jx, jy, tx, ty, k + 1)
   end
   return k
end
for x = 0,size,resolution do
   local jx = xmin+x*dx
   for y = 0,size,resolution do
      local jy = ymin+y*dy
      table.insert(pixels,{X = x, Y = y, C = MainCalculation(jx, jy, 0, 0, 0)})
   end
end
end
run()
function love.draw()
	for i,v in pairs(pixels) do
		love.graphics.setColor( -v.C, -v.C, -v.C, 255 )
		love.graphics.rectangle("fill",v.X,v.Y,resolution,resolution)
	end
end
function love.keypressed(k)
	if k == "d" then
		xmin = xmin*0.9
		xmax = xmax*0.9
		run()
	elseif k == "a" then
		xmin = xmin/0.9
		xmax = xmax/0.9
		run()
	elseif k == "s" then
		ymin = ymin*0.9
		ymax = ymax*0.9
		run()
	elseif k == "w" then
		ymin = ymin/0.9
		ymax = ymax/0.9		
		run()
	elseif k == "q" then
		xmin = xmin*0.9
		xmax = xmax*0.9
		ymin = ymin*0.9
		ymax = ymax*0.9
		dx = (xmax-xmin)/size
		dy = (ymax-ymin)/size
		run()
	elseif k == "e" then
		xmin = xmin/0.9
		xmax = xmax/0.9
		ymin = ymin/0.9
		ymax = ymax/0.9		
		dx = (xmax-xmin)/size
		dy = (ymax-ymin)/size
		run()
	end
end

Because you forgot to update dx and dy.

[GijsB]

when you update those when changing your look from left to right, up and down you change the size of the mandelbrot!
dx and dy must only be updated when zooming!!

thanks for all of your help kraftman!