Abstract
This paper is a survey paper that gives detailed constructions and illustrations of some of the standard examples of non-orientable surfaces that are embedded and immersed in 4-dimensional space. The illustrations depend upon their 3-dimensional projections, and indeed the illustrations here depend upon a further projection into the plane of the page. The concepts used to develop the illustrations will be developed herein.
| Original language | English |
|---|---|
| Article number | 1430002 |
| Journal | Journal of Knot Theory and its Ramifications |
| Volume | 23 |
| Issue number | 11 |
| DOIs | |
| State | Published - 12 Oct 2014 |
Keywords
- 4-dimensional space
- boy's surface
- cross-cap
- girl's surface
- Klein bottle
- mobius band
- movie moves
- Non-orientable surfaces
- projective plane
- roman surface
- twist spun knots