Classification of real projective Pathcurves
A study of real projective pathcurves, classifying systems in the projective line, the plane and three-dimensional space.
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
An article on the relation between vector spaces and projective geometry, with particular attention to duality and the cross ratio.
What is Time?
An essay on time: from absolute and physical time to inner time as we experience it.
Day length
A mathematical approach to the length of day and night, using the sine function as a simple key to the rhythm of the year.
Known errors
Known errors and their corrections, for On the Fundamentals of Geometry.