Fractals: Difference between revisions
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>Mindraker (Category:Player Created) |
>Mindraker No edit summary |
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p = Instance.new("Part") | p = Instance.new("Part") | ||
p.CFrame = CFrame.new(Vector3.new(x,1.8,z)) | p.CFrame = CFrame.new(Vector3.new(x,1.8,z)) | ||
p.Size = Vector3.new(1,1,1) | |||
p.Anchored = true | |||
p.Color = Color3.new(1) | |||
p.Parent = game.Workspace | |||
--wait(.1) | |||
end | |||
</pre> | |||
== 3D Sierpinsky Triangle == | |||
[[Image:3D Sierpinsky Triangle.PNG|thumb|3D Sierpinsky Triangle]] | |||
<b>WARNING</b> This can freeze up your computer. (My computer could only handle 5000 after about a <b>half hour</b>.) If you have a slow computer, reduce the "For" loop to a lower number, like 500, then work your way up to 1000. | |||
For a better picture of what this is, see the [http://en.wikipedia.org/wiki/Sierpi%C5%84ski_Triangle wikipedia article on Sierpinsky triangles] | |||
<pre> | |||
local x = 0 | |||
local y = 1.8 | |||
local z = 0 | |||
for i = 1, 5000 do | |||
a = math.random(1,8) | |||
if a == 1 then | |||
x = (x - 200)/2 | |||
y = (y - 200)/2 | |||
z = (z + 200)/2 | |||
end | |||
if a == 2 then | |||
x = (x + 200)/2 | |||
y = (y - 200)/2 | |||
z = (z + 200)/2 | |||
end | |||
if a == 3 then | |||
x = (x - 200)/2 | |||
y = (y - 200)/2 | |||
z = (z - 200)/2 | |||
end | |||
if a == 4 then | |||
x = (x + 200)/2 | |||
y = (y - 200)/2 | |||
z = (z - 200)/2 | |||
end | |||
if a == 5 then | |||
x = (x + 0)/2 | |||
y = (y + 200)/2 | |||
z = (z + 0)/2 | |||
end | |||
p = Instance.new("Part") | |||
p.CFrame = CFrame.new(Vector3.new(x,y,z)) | |||
p.Size = Vector3.new(1,1,1) | p.Size = Vector3.new(1,1,1) | ||
p.Anchored = true | p.Anchored = true | ||
Revision as of 20:12, 16 December 2008
Sierpinsky Triangle
x = 0
y = 1.8
z = 0
for i = 1, 4000 do
a = math.random(1,3)
if a == 1 then
x = x / 2
z = (z - 250)/2
end
if a == 2 then
x = (x - 250)/2
z = (z + 250)/2
end
if a == 3 then
x = (x + 250)/2
z = (z + 250)/2
end
p = Instance.new("Part")
p.CFrame = CFrame.new(Vector3.new(x,1.8,z))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.Color = Color3.new(1)
p.Parent = game.Workspace
--wait(.1)
end
3D Sierpinsky Triangle
WARNING This can freeze up your computer. (My computer could only handle 5000 after about a half hour.) If you have a slow computer, reduce the "For" loop to a lower number, like 500, then work your way up to 1000.
For a better picture of what this is, see the wikipedia article on Sierpinsky triangles
local x = 0
local y = 1.8
local z = 0
for i = 1, 5000 do
a = math.random(1,8)
if a == 1 then
x = (x - 200)/2
y = (y - 200)/2
z = (z + 200)/2
end
if a == 2 then
x = (x + 200)/2
y = (y - 200)/2
z = (z + 200)/2
end
if a == 3 then
x = (x - 200)/2
y = (y - 200)/2
z = (z - 200)/2
end
if a == 4 then
x = (x + 200)/2
y = (y - 200)/2
z = (z - 200)/2
end
if a == 5 then
x = (x + 0)/2
y = (y + 200)/2
z = (z + 0)/2
end
p = Instance.new("Part")
p.CFrame = CFrame.new(Vector3.new(x,y,z))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.Color = Color3.new(1)
p.Parent = game.Workspace
--wait(.1)
end
Fern leaf
x = 1
y = 1.8
z = 1
for i = 1, 500 do
a = math.random(1,100)
if a == 1 then
x = 0
z = (0.16*z)
elseif a > 1 and a <= 8 then
x = ((0.20*x) - (0.26*z))
z= (0.23*x + 0.22*z + 16)
elseif a > 8 and a <= 15 then
x = ((-0.15*x) + 0.28*z)
z = (0.26*x + 0.24*z + 4.4)
elseif a > 15 and a <= 100 then
x = 0.85*x + 0.04*z
z = ((-0.04*x) + 0.85*z + 16)
end
p = Instance.new("Part")
p.CFrame = CFrame.new(Vector3.new(x,1.8,z))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.Color = Color3.new(1)
p.Parent = game.Workspace
wait(.1)
end
Cantor set
x = 0
y = 1.8
z = 0
for i = 1, 3000 do
a = math.random(1,4)
if a == 1 then
x = (x - 250)/3
z = (z - 250)/3
end
if a == 2 then
x = (x - 250)/3
z = (z + 250)/3
end
if a == 3 then
x = (x + 250)/3
z = (z + 250)/3
end
if a == 4 then
x = (x + 250)/3
z = (z - 250)/3
end
p = Instance.new("Part")
p.CFrame = CFrame.new(Vector3.new(x,1.8,z))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.Color = Color3.new(1)
p.Parent = game.Workspace
--wait(.1)
end
3D Cantor set
WARNING This can freeze up your computer. If you have a slow computer, reduce the "For" loop to a lower number, like 500, then work your way up to 1000.
local x = 0
local y = 1.8
local z = 0
for i = 1, 2000 do
a = math.random(1,8)
if a == 1 then
x = (x - 250)/3
y = (y - 250)/3
z = (z - 250)/3
end
if a == 2 then
x = (x - 250)/3
y = (y - 250)/3
z = (z + 250)/3
end
if a == 3 then
x = (x - 250)/3
y = (y + 250)/3
z = (z - 250)/3
end
if a == 4 then
x = (x - 250)/3
y = (y + 250)/3
z = (z + 250)/3
end
if a == 5 then
x = (x + 250)/3
y = (y + 250)/3
z = (z + 250)/3
end
if a == 6 then
x = (x + 250)/3
y = (y - 250)/3
z = (z + 250)/3
end
if a == 7 then
x = (x + 250)/3
y = (y + 250)/3
z = (z - 250)/3
end
if a == 8 then
x = (x + 250)/3
y = (y - 250)/3
z = (z - 250)/3
end
p = Instance.new("Part")
p.CFrame = CFrame.new(Vector3.new(x,y,z))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.Color = Color3.new(1)
p.Parent = game.Workspace
--wait(.1)
end
Untitled
x = 68
y = 1.8
z = 56
for i = 1, 500 do
a = math.random(1,5)
if a == 1 then
x = x / 3
z = (z - 57)/3
end
if a == 2 then
x = (x + 68)/3
z = (z - 13)/3
end
if a == 3 then
x = (x + 42)/3
z = (z + 58)/3
end
if a == 4 then
x = (x - 42)/3
z = (z + 58)/3
end
if a == 5 then
x = (x - 68)/3
z = (z - 13)/3
end
p = Instance.new("Part")
p.CFrame = CFrame.new(Vector3.new(x,1.8,z))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.Color = Color3.new(1)
p.Parent = game.Workspace
--wait(.1)
end
Untitled2
x = 82
y = 1.8
z = 30
for i = 1, 500 do
a = math.random(1,6)
if a == 1 then
x = (x - 185)/5
z = (z - 300)/5
end
if a == 2 then
x = (x + 180)/5
z = (z - 300)/5
end
if a == 3 then
x = (x + 345)/5
z = (z + 5)/5
end
if a == 4 then
x = (x + 175)/5
z = (z + 300)/5
end
if a == 5 then
x = (x - 180)/5
z = (z + 300)/5
end
if a == 6 then
x = (x - 350)/5
z = (z + 5)/5
end
p = Instance.new("Part")
p.CFrame = CFrame.new(Vector3.new(x,1.8,z))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.Color = Color3.new(1)
p.Parent = game.Workspace
--wait(.1)
end
Other Roblox Fractal images
.PNG)
See Also
Beauty in Mathematics, an introductory article on fractals with helpful images
