Read the article from the uploaded file and write up a short (~2 paragraph) response. Give your general impression of what the article is about, and try to answer the following questions:

1) Which would have higher curvature: a circle with radius 1 or a circle with radius 20?

2) What uses might the TNB frame have in applications?

3) If you take a spring and compress it, how would the curvature and torsion change? A spring is a helix, so you might think about the equations he gives relating R and H.

4) T from the TNB frame is related to the tangent vector we’ve already discussed. How might you be able to find N and B with calculus? How might you find kappa and tau?