'No more impressive warning can be given to those who would confine knowledge and research
to what is apparently useful, than the reflection that conic sections were studied for
eighteen hundred years merely as an abstract science,
without regard to any utility other than to satisfy the craving for knowledge on the part of mathematicians,
and that then at the end of this long period of abstract study,
they were found to be the necessary key with which to attain the knowledge of the most important laws of nature.'
Alfred North Whitehead, 1911, Introduction to Mathematics.
Others dealing with abstract ideas and images can be found >>HERE<<
The current trends in science funding policies in North America are becoming waayy too similar to those of 1911..
Give me a hyperparabola any day, even if they are less stable!!!
This idea was tough to implement, but I did have lots of fun playing with the modelling clay ;-)