- #1

*Helix*

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**NEEDD HELP! parameterizing a surface given by an implicit function (HYPERBOLOID?!)**

## Homework Statement

I need to parameterize the surface given by the following implicit equation:

x

^{2}+ y

^{2}+ z

^{2}+ 2xy + 2xz - 2yz = 1

## Homework Equations

I tried using all sorts of subsititutions, getting one varible in terms of the other two, using cylindrical and spherical coordinate systems, etc..and I still cannot come up with parametric equations for x y and z!

## The Attempt at a Solution

I'm just hoping someone can point me in the right direction, or give me a good hint to crack out this answer. thanks!