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MATHEMATICS
 
 
Collatz Conjecture
 
(working up from 1, numbers below 1000)
 
A chart of numbers and the most square rectangle they can be.
 
Primes end up very tall, square numbers are actually square.
 
Below is a later version continued up to 100
 
A diagram of numbers and their divisors.
 
Yellow is prime numbers, blue is highly composite numbers.
 
Coloured products of division are all whole numbers.
 
The black line joins square numbers.
   
Cistercian Numbers

Invented by medieval monastery
  
Four Fours
 
Solutions to the first sixty numbers
 
The key shows an explanation to the units used and how they are made to fours.
 
The idea here is to make as many numbers as possible using four "4" and as many operands as needed.
 
Note that power numbers count.
First ~100 numbers in Modulus 6, showing patterns of primes and polygonal numbers
First ~100 numbers in Mod 10, showing patterns of primes and polygonal numbers
First ~100 numbers in Mod 12, showing patterns of primes and polygonal numbers
 
Number types as a Euler diagram
 
If you have details or fixes for this, please let me know
 
Origami bases relationships
  
Polygon types tree
 
If you know of more terms for pentagons, please let me know
 
Polyhedra types
 
A diagram of all regular, semi-regular and select other solids.
Polyhedra regular apex types.
Polyhedra semi-regular apex types.
 
Prime Factors as Houses
 
Each number broken down into  it's composite factors, taller houses having more factors and prime numbers being one-storey
 
Prime
numbers and their relationship to the square root line.
 
This demonstrates why some name numbers below 4 as "sub prime" as there are literally no numbers between 1 and their root to be a factor.
 
Under this view, 5 would be the first proper prime number.
 
Sprouts maths game diagram.
 
Each player takes a turn joining two dots and with a line and putting 
 
A chart of  Stellar Polygons with 12 or fewer corners     
A chart of numbers and their word length