If you have ever thought that working out a Collatz sequence by hand was alright but lacked buttons and lights, the Collatz-o-matic by [mechatronicsguy] has you covered! The device is a type of Tag ...

If you have ever thought that working out a Collatz sequence by hand was alright but lacked buttons and lights, the Collatz-o-matic by [mechatronicsguy] has you covered! The device is a type of Tag ...

Seaweed? Worms? Bad hair day? The animation below is a new way to look at the Collatz conjecture, one of the most high-profile open problems in mathematics. The conjecture is easy to explain, given ...

The number theoretic function $s(n) = \frac{1}{2} n$ if $n$ is even, $s(n) = 3n + 1$ if $n$ is odd, generates for each $n$ a Collatz sequence $\{ s^k(n)\}^\infty_{k ...

An attempt at tackling the intractable Collatz conjecture is a “noble failure” demonstrating the promise of automated reasoning techniques. The computer scientist Marijn Heule is always on the lookout ...