Legend :
! -> Done
? -> To Do
Achievements :
Mathematics :
--Geometry--:
Euclid (!)
Lobachevsky (?)
Riemann (?)
Minkowski (?)
Projective Geometry (?)
Geodesy (?)
Theory of Surfaces (?)
Euclid list's of Axioms for Geometry (!)
Archimedes' addition to Geometry (!) 5 Axioms
Hilbert's List (!)
Lattices (?)
Differential Geometry (?)
Fiber Bundles (?)
Topology (?)
--Pi :--
History of Pi from Egyptians to Simon Plouffe (!)
--(e):--
(?)
--Three problems of Antiquity--
Double the volume of a Cube. (!)
Trisection of an angle. (!)
Square a Circle. (!)
Pierre Laurent Wantzel proved that all the three problems of Antiquity were impossible to solve with compass and straightedge.
--Arithmetics--
Infinite fractions (!)
Diophantine equations (!)
Algorithms to find square root (!)
Dyadic fractions (!)
P-adic numbers (!)
--Number set--
Reals (!)
Imaginary (!)
Surreal (?) -> John Horton Conway in 1974.
Irrational (!) : Dedekind (!)
Algebraic (?)
Liouville number (!)
--Fractals--
Richardson (!)
Hausdorff Dimension (!)
Fractals and Complex Numbers (?)
Else (?)
--Logic && Infinity--
Russell (!)
Cantor (!) -> Infinity
Zermelo (?)
Peano (?)
Hilbert (?)
Dedekind (?)
Godel (?)
Tarski (?)
--Matrices--
(!?!?!?)
--Graphs--
(!?!?!?)
--Modern Notation--
Bijection, Surjection, Injection, etc.
**
What I love ?
**
Wikipedia.
It started as a small project but grew big. The related articles make it as coherent as online encyclopedias. The articles may not be deep but Wikipedia has articles on almost everything. The knowledge is fully mapped.
Blogs.
I place them near "correspondence" and "conversations". The art of conversation was born in 17th and 18th century. Correspondence came earlier. They were the only ways of exchanging ideas and informing yourself.
Blogs are used to keep contact with the world. There a few amazing people maintaining their blog.
MUDs/Telnet
Old games were made with ASCII characters or bad graphics. It was easy to code games. Many BSS and Talk Channels were created.
Esolangs/Electronic Games
I like strange things. Games that are short appeal me. It is more fun if it is derived from mathematical or physic concepts.
Site Directory
Useful and relevant sites.
OEIS
Dictionary for Integer Sequences.
Wolfram Alpha
Computational Knowledge. Wolfram Alpha can find any answer. A few persons abuse it. They will make an IRC chat bot or similar and send thousand of queries per hour. Wolfram will block the requests after a few days or weeks.
**
What I hate ?
**
Internet Pollution.
Horrible Code.
Dishonesty.
Plagiarism.
