Tracing along t and theta on a Mobius strip
Mobius strip defined by vector function f(t,θ)=2cos(θ) + t cos(θ / 2), 2sin(θ) + t cos(θ / 2), t sin(θ / 2)>
Geogebra function call: Surface[2cos(θ) + t cos(θ / 2), 2sin(θ) + t cos(θ / 2), t sin(θ / 2), θ, 0, 4π , t, -0.5, 0.5]
Sliders trace out spacecurves holding t and θ constant, respectively and plot point based on slider values.
Note that theta traces out the surface twice.