Popular Questions - Mathematics /Geometry

2. Sled kites   rely on wind pressure to retain the shape of the sail. Each consists of a   single square and two triangular pieces. Kyle has made a model of a Sled kite   as shown below. Show that...

2. Sled kites   rely on wind pressure to retain the shape of the sail. Each consists of a   single square and two triangular pieces. Kyle has made a model of a Sled kite   as shown below. Show that...

Suppose you could climb to the top of the Great Pyramid. Which route would be shorter, a route along a lateral edge or a route along the slant height of a side? Which of these routes is steeper?...

(Christoffel Symbols). What is a Christoffel Symbol? What role does it play in our study? How might one compute them, and why would it be important or useful?

(Congruence vs Isometry). We discussed two notions of “sameness” for surfaces: congruence and isometry. What are these? How are they different? Compare and contrast their properties.

(Gauss’ Remarkable Theorem). What is Gauss’ Theorema Egregium? What exactly does it say? Why is it important? Why did Gauss find it so pleasantly surprising?