Interactive Number Simulation
Created from Three Simple Rules
- Each number N creates a circle with Radius = N.
- The Circumference of each circle is divided by N, creating an Arc of Length = Circumference / N.
- Each arc makes a complete rotation in N iterations.
Each arc represents its number spacially
by its length, and temporally
by the number of iterations required to make a complete rotation.
For example, the number 2 arc is half
its circle in length, and takes 2
iterations to make a complete rotation.
The number 3 arc is a third
its circle in length, and takes 3
iterations to complete a rotation, and so on for all numbers.
Each arc is the same length since:
Length = Circumference / N, and Circumference = 2 * PI * N
Length = 2 * PI * N / NLength = 2 * PI
The simulation starts with all arcs in horizontal alignment. When an arc comes back into horizontal alignment, that
means it is a divisor of the current number of iterations
. Iteration numbers with no arcs in
alignment are prime numbers
, and are marked in Red. Iteration numbers with factors, are
, and are marked in White.
pattern is a direct consequence of only the above three rules
, and is in no way forced, or coerced to fit that shape.