Recent content by teodron

First of all, I apologize for not replying during all this time. I started this post in order to code a simple application that can show how a vector is modified while its support point, which lies on a polyhedral surface (since computers work only with discrete representations of...

Yes, I was trying to answer to lavinia's suggestion of actually cutting a manifold (e.g. sphere) with a knife that contains the normal vector and this way describing a geodesic. I exemplified by cutting along the 45 deg N lat circle. What I did was to squeeze a cone that contained this circle...

I haven't tried it literally (I suppose a knife and an orange would do..), but I did manage to splash some odd looking depiction of what I'm imaging in a png file. I am cutting along the 45N parallel. My task is: make sure my knife contains the surface normal and that I do not cut something else...

Let me chime in with what I mean by the "greedy" algorithm. I do believe it's the same concept as proposed here: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.97.5808 What happens when you cut a sphere with a knife along the 45 deg N parallel circle? I bet I can make the knife contain...

Thank you all for your replies! I didn't want it to sound as if I am ignoring the fact that the sphere is not parallelizable ( aka the HBT). My intuition was to start with a pseudo "up" direction and try to keep your "eyes" in that direction while moving along the curve from two points in such...

Hello, First of all, please excuse me if I posted in the inappropriate place.. While a student few years ago, I used to work a lot with advanced differential geometry concepts, but never got an intuitive view of HOW humanity got to think about parallel transport, why it contained two words...