Egg box

EGG BOX

Homemade name.

Cartesian equation: .
Translation surface.

The egg box is the surface obtained by translating a sinusoid along another isometric sinusoid, perpendicularly.
This surface can be interesting to introduce the notions of extrema and saddle points.

Remark: weirdly, if the + is replaced by a is the above equation, the surface obtained is also an egg box; indeed: .

Projections of contour lines: sin x/b sin y/b = cte.
Projections of slope lines:
cos x/b = cte cos y/b.

réseau des courbes de niveau

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