45 citations · 674 across the 102 of their papers we have counts for
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Elements of finite geometry I
Oliver Knill
This is a snapshot of a first part on a possibly much longer text on finite geometries, meaning graphs or finite abstract simplicial complexes. In in this first batch we review 12…
Some Fundamental Theorems in Mathematics
Oliver Knill
An expository hitchhikers guide to some theorems in mathematics.
The amazing world of simplicial complexes
Oliver Knill
Defined by a single axiom, finite abstract simplicial complexes belong to the simplest constructs of mathematics. We look at a a few theorems.
If Archimedes would have known functions
Oliver Knill
These are notes and slides from a Pecha-Kucha talk given on March 6, 2013. The presentation tinkered with the question whether calculus on graphs could have emerged by the time of…
Illustrating Mathematics using 3D Printers
Oliver Knill, Elizabeth Slavkovsky
3D printing technology can help to visualize proofs in mathematics. In this document we aim to illustrate how 3D printing can help to visualize concepts and mathematical proofs. As…
Thinking like Archimedes with a 3D printer
Oliver Knill, Elizabeth Slavkovsky
We illustrate Archimedes' method using models produced with 3D printers. This approach allowed us to create physical proofs of results known to Archimedes and illustrate ideas of a…