common equations of 3d objects Flashcards
to review equations for shapes
1
Q
Elliptical paraboloid
A
z=x^2+y^2
2
Q
Hyperbolic Paraboloid (saddle shape)
A
z=-x^2+y^2
3
Q
Ellipsoid (sphere)
A
1=x^2+y^2+z^2
4
Q
Hyperboloid of one sheet
A
1=x^2+y^2-z^2
5
Q
Hyperboloid of two sheets
A
-1=x^2+y^2-z^2
6
Q
duel cone
A
z^2=x^2+y^2
7
Q
point normal vector plane
A
(x, y) = a(x-x0) + b(y-y0) + c(z-z0)
8
Q
plane
A
ax+by+cz=d
9
Q
cylinder
A
a^2=x^2+y^2
10
Q
Parabolic cylinder
A
y=ax^2
11
Q
cone
A
z=sqrt(x^2+y^2)
12
Q
A
