HOME ASSIGNMENTS FINAL MATH 1050
APPLETS Description
Geodesics on the Earth This applet allows you to pick two locations on a map of Earth, and then compare the shortest path on the map to the shortest path on a sphere.
Gaussian Curvature This is a geogebra applet with a single slider controlling the curvature of a cylindrical-type surface, as well as images to help explain why the curvature will possess the sign it does.
Map Projection Transitions One can cycle through various map projections and actively affect the orientation of the globe to see how strange the distortions of maps can become.
Hyperboloid Geodesics An interactive Wolfram demo that shows the geodesics on a hyperboloid, which has negative curvature.
Cube Geodesics This applet shows that you can understand the shortest path between two points on a cube by instead looking at its net. I plan to use this to illustrate multiple facets of curvature.

APPLET COLLECTIONS Description
Math Insight A massive library of interactive applets, with particularly nice visualizations for multivariable calculus topics!
PhET University of Colorado Boulder website where you can find 90 applets that apply to a variety of K-12 STEM topics.
Rossman/Chance Applet Collection A collection of statistics related applets. They are minimalist in their design but effectively convey information.
Falstad Physics Applets A lot of physics based applets. They run really well in-browser and cover a wide range of topics in a variety of ways. I appreciate how responsive the applets are to changes in the parameters, many applets take longer.
3 Dimensional Space This website is pertinent to my subject of interest, as you can fly through a variety of fully rendered 3D curved geometries! It does hog up quite a bit of memory, however...

OTHER RESOURCES Description
Discrete Differential Geometry This youtube video by Keenan Crane explains curvature in a way that I find EXTREMELY helpful and hope it becomes more widespread.
Intrinsic Curvature and Singularities This video by Eugene Khutoryansky clearly articulates how we measure curvature by parallel transport along a loop. It also illustrates principle curvatures and singularities.
Non-euclidean virtual reality Here Henry Segerman shows an interactive VR hyperbolic space, where he shows you have to turn 90 degrees 5 times to get back to where you started!
Making of SHRINKING PLANET While this video does not directly pertain to curvature, it acts as an excellent video to show how the straight lines on any surface require no turning. Namely, turning a steering wheel.
The History of Non-Euclidean Geometry This is the final in a series documenting the history of non-euclidean geometry. Useful for contextualizing the topic in a clear way with motivations and intuition.