simple 3d shapes equations (no shifts)

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6 Terms

1
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elliptic cylinder centered at (0,0)

( x2 / a2 ) + ( y2 / b2 ) = 12

2
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ellipsoid centered at (0,0,0)

( x2 / a2 ) + ( y2 / b2 ) + ( z2 / c2 ) = 12

3
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cylinder wrapped around z-axis centered at (0,0) with radius 1

x2 + y2 = 12

4
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circular double cone with the point in between both cones @ (0,0,0)

x2 + y2 = z2

aka z = sqrt(x2 + y2)

5
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elliptic double cone with the point in between both cones @ (0,0,0)

( x2 / a2 ) + ( y2 / b2 ) = ( z2 / c2 )

aka sqrt[( x2 / a2 ) + ( y2 / b2 )] = | z / c |

*abs value because sqrt(x2) = |x|

6
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parabloid centered at (0,0,0)

z = x2 + y2