Classification of real projective Pathcurves
An article on the classification of real projective pathcurves.
MathArt
The beauty of mathematics
This website is dedicated to the beauty of mathematics. You may wonder: the beauty of mathematics? Truth, usefulness, those are the obvious epithets for that branch of knowledge. But beauty? Yes beauty!
And we do not only mean the beauty of pictures like these.
We also mean the beauty of a proof, or of a theory. You may experience, like many mathematicians before you, that you are in a big cathedral, enjoying its shapes and structure. Or listening for the umpteenth time to a Bach fuge, and suddenly getting 'it', getting the goose pimples, a shivering along the spine. That's what you can experience once you understand a proof, see through a theory.
Enjoy!
Publications
The PDF files can be read on the site or downloaded.
On the Fundamentals of Geometry
This booklet presents a new axiom system for (projective) geometry; and - of course - the proof that this system is equivalent with the existing ones is included.
Vector spaces and projective geometry
On vector spaces, duality and projective geometry.
What is Time?
An essay on absolute, physical and inner time.
Day length
A mathematical explanation of the length of the day.
Known errors
Known corrections for On the Fundamentals of Geometry.