The surface with parametric equations x 2 cos r cos( 2) y 2 sin r cos( 2) z r sin( 2) where 1 2 r 1 2 and 0 2, is called a Mbius strip Graph this surface with several viewpoints What is unusual about it

Question: The surface with parametric equations x = 2 cos + r cos(/2) y = 2 sin + r cos(/2) z = r sin(/2)

The surface with parametric equations
x = 2 cos θ + r cos(θ/2)
y = 2 sin θ + r cos(θ/2)
z = r sin(θ/2)
where -1/2 < r < 1/2 and 0 < θ < 2π, is called a Möbius strip. Graph this surface with several viewpoints. What is unusual about it?

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