Prime Numbers
Primes and The Powers of Two
Relating the powers of two with primes and perfect numbers
Joaquin de Castro
Number Theory
The Fibonacci Sequence and The Powers of Two
On two of the most popular and well-known patterns by humans and nature
Analysis
Why is 1 + 2 + 4 + 8 + … = -1?
On calculating infinite divergent series sums
Geometry
Exploring the geometric ratios in Rick’s paradox
The math behind a popular zentangle pattern: from special triangles to trigonometry.
Classical Mechanics
Applications in Physics and Elastic Collisions
Bouncing balls to space
Statistics
An Intuitive Explanation of Benford’s Law
A simpler way of visualising and observing Benford’s Law through the powers of two
Statistics
Leading Digits and Benford’s Law
An intuitive way to understand Benford’s Law and how it applies to the powers of two
Number Theory
The Powers of Two: An Introduction
An introduction and index to an article series on the properties of and patterns in the powers of two