Algebraic surfaces: Difference between revisions
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>Mindraker No edit summary |
>Mindraker No edit summary |
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end | end | ||
</pre> | </pre> | ||
== UFO == | |||
[[Image:Algebraic6.PNG|thumb|UFO]] | [[Image:Algebraic6.PNG|thumb|UFO]] | ||
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end | end | ||
</pre> | </pre> | ||
== Trichter == | |||
[[Image:Algebraic7.PNG|thumb|Trichter]] | [[Image:Algebraic7.PNG|thumb|Trichter]] | ||
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end | end | ||
end | end | ||
</pre> | |||
== Sphäre/Sphere == | |||
[[Image:Algebraic8.PNG|thumb|Sphäre/Sphere]] | |||
<pre> | |||
for x = -14,14, .25 do | |||
for y = -14,14, .25 do | |||
for z = -14,14, .25 do | |||
if x^2+y^2+z^2==25 then | |||
p = Instance.new("Part") | |||
p.formFactor = "Symmetric" | |||
p.CFrame = CFrame.new(Vector3.new(x*1.5, y*1.5, z*1.5)) | |||
p.Size = Vector3.new(1,1,1) | |||
p.Anchored = true | |||
p.BottomSurface = "Smooth" | |||
p.TopSurface = "Smooth" | |||
p.Parent = game.Workspace | |||
p.BrickColor = BrickColor.new(26) | |||
end | |||
end | |||
end | |||
end | |||
</pre> | </pre> | ||
Revision as of 01:01, 6 January 2009
Introduction
This page covers another way of writing out the formulas necessary to create graphs than covered on the Parametric equations page. It may seem unnecessarily complicated at times, but as you can see, this method can provide quite complex shapes and designs.
Spindel
for x = -100,100, 1 do
for y = -100,100, 1 do
for z = -100,100, 1 do
if (x^2)+(y^2)-(z^2)==1 then
p = Instance.new("Part")
p.formFactor = "Symmetric"
p.CFrame = CFrame.new(Vector3.new(x/10, y/10, z/10))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.BottomSurface = "Smooth"
p.TopSurface = "Smooth"
p.Parent = game.Workspace
p.BrickColor = BrickColor.new(26)
end
end
end
end
Kreuz
for x = -10,10, 1 do
for y = -10,10, 1 do
for z = -10,10, 1 do
if x*y*z==0 then
p = Instance.new("Part")
p.formFactor = "Symmetric"
p.CFrame = CFrame.new(Vector3.new(x, y, z))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.BottomSurface = "Smooth"
p.TopSurface = "Smooth"
p.Parent = game.Workspace
p.BrickColor = BrickColor.new(26)
end
end
end
end
Gupf
for x = -100,100, 1 do
for y = -100,100, 1 do
for z = -100,100, 1 do
if x^2+y^2+z==0 then
p = Instance.new("Part")
p.formFactor = "Symmetric"
p.CFrame = CFrame.new(Vector3.new(x, z, y))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.BottomSurface = "Smooth"
p.TopSurface = "Smooth"
p.Parent = game.Workspace
p.BrickColor = BrickColor.new(26)
end
end
end
end
Diabolo
for x = -100,100, 1 do
for y = -100,100, 1 do
for z = -100,100, 1 do
if x^2==(y^2+z^2)^2 then
p = Instance.new("Part")
p.formFactor = "Symmetric"
p.CFrame = CFrame.new(Vector3.new(x*1, z*1, y*1))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.BottomSurface = "Smooth"
p.TopSurface = "Smooth"
p.Parent = game.Workspace
p.BrickColor = BrickColor.new(26)
end
end
end
end
Sattel/Saddle
for x = -300,300, 1 do
for y = -300,300, 1 do
for z = -300,300, 1 do
if x^2+y^2*z+z^3==0 then
p = Instance.new("Part")
p.formFactor = "Symmetric"
p.CFrame = CFrame.new(Vector3.new(x*.1, z*.1, y*.1))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.BottomSurface = "Smooth"
p.TopSurface = "Smooth"
p.Parent = game.Workspace
p.BrickColor = BrickColor.new(26)
end
end
end
end
UFO
for x = -10,10, .25 do
for y = -10,10, .25 do
for z = -10,10, .25 do
if (z^2-x^2-y^2-1)==0 then
p = Instance.new("Part")
p.formFactor = "Symmetric"
p.CFrame = CFrame.new(Vector3.new(x*7, z*7, y*7))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.BottomSurface = "Smooth"
p.TopSurface = "Smooth"
p.Parent = game.Workspace
p.BrickColor = BrickColor.new(26)
end
end
end
end
Trichter
for x = -10,10, .25 do
for y = -10,10, .25 do
for z = -10,10, .25 do
if x^2+z^3==y^2*z^2 then
p = Instance.new("Part")
p.formFactor = "Symmetric"
p.CFrame = CFrame.new(Vector3.new(x*4, z*4, y*4))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.BottomSurface = "Smooth"
p.TopSurface = "Smooth"
p.Parent = game.Workspace
p.BrickColor = BrickColor.new(26)
end
end
end
end
Sphäre/Sphere
for x = -14,14, .25 do
for y = -14,14, .25 do
for z = -14,14, .25 do
if x^2+y^2+z^2==25 then
p = Instance.new("Part")
p.formFactor = "Symmetric"
p.CFrame = CFrame.new(Vector3.new(x*1.5, y*1.5, z*1.5))
p.Size = Vector3.new(1,1,1)
p.Anchored = true
p.BottomSurface = "Smooth"
p.TopSurface = "Smooth"
p.Parent = game.Workspace
p.BrickColor = BrickColor.new(26)
end
end
end
end
