Saturday, June 28, 2025

Normed Space and Banach spaces

 Another curiosity arousal question here..


This one made me think "Shristi se pehle sat nahi tha" at 6.40 or 400 seconds.

Anyways This was exactly what I wanted to know about city block distances.


I was scared of the Hilbert Space and Curve until I saw this Video



I now have some fodder for my thoughts and a few more programs lined up to draw these types of space filling curves.


An idea that I was toying with struck now more deeply than earlier.

Suppose I have a polyhedral, say a dodecahedron.. How can I traverse it so that all points are visited?

Suppose it is a n-dimensional polyhedral, then?