Talk:Real Projective Plane

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Contents

Harrison's Notes to Self

Htasoff 20:26, 6 June 2011 (UTC) Note:

Embedding
  • injective (1-to-1 mapping)
  • not necessarily smooth and differentiable
Immersion
  • Smooth, tangent space is differentiable
  • not necessarily injective
  • any two lines always intersect, seems unlikely that it could be used to model hyperbolic space.

General Comments

Kate 15:02, 9 June 2011 (UTC):

  • Why is there no TOC for this page? CHECK
  • Are you planning on adding a MME? CHECK

Section-specific Comments

Basic Description

Dayo 10:49, 5 July 2011 (UTC):I would put non orientable in a bubble, or somehow link it within the text to the explanation on the page, so that people aren't turned away by the word. Define it as well I like the example for non-orientable, it's very well explicated. There's a problem with your images 2 through 6. each one is black unless you click on them. Is this on purpose?On why its interesting: I think you could change the order of the things you put down. Maybe a sub-heading on real world applications?

Kate 15:02, 9 June 2011 (UTC):

  • I think it might be better to have the text come before the links to the different projections this page was originally going to be a portal to the other pages, it has since developed from that. Nevertheless, I still like the layout of having the links toward the top.

  • I'd like a visual showing how the normals on non-orientable surfaces end up opposite each other.

CHECK

  • After reading all of this, I still really don't understand what the RPP is. Who came up with it, and why? Is it at all useful, or is it just a cool thing? How do we know those three projections (which look pretty different to me) are all related? Where does the name come from?

Gene 14:41, 22 June 2011 (UTC) "the Real Projective Plane is a closed surface, and, as a result, 3 dimensional models of it intersect, or pass through, themselves." What's a closed surface? Why do 3D models have to pass through themselves? And what does that mean? A picture showing non-orientability would be way cool.

Gene 18:15, 30 June 2011 (UTC) At the end of your first paragraph I really feel you need "non-orientable" in quotes to indicate that it's not part of the Basic Description--if it's basic then newbies should say to hell with this and go on to another page or another website which doesn't have the term as something Basic.

"As an abstract surface, the Real Projective Plane is an idea." What the hell does this mean? What's an idea?

A More Mathematical Explanation

Gene 18:18, 22 June 2011 (UTC) Your images are not really visible unless enlarged (Safari). Do your 3 points really characterize the real projective plane? (No fair quoting Wikipedia!) In general, your more mathematical explanation should state more clearly what you're going to do and give more detail as you do it.

Homogeneous coordinates might be a Helper Page?

Why It's Interesting

Gene 18:18, 22 June 2011 (UTC) What exactly is "non-orientable" and why is it bizarre?

How the Main Image Relates

Kate 15:02, 9 June 2011 (UTC): I think this whole section is unnecessary. Your caption and basic description make it clear how the image relates.

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