To a mathematician, cryptography means public-key encryption using a one-way trapdoor
function. We often teach it as an elegant application of results in number theory, such as the …

We present the first computational method that allows ordinary users to create complex
twisty joints and puzzles inspired by the Rubik's Cube mechanism. Given a user-supplied …

In problem-solving, a path towards a solutions can be viewed as a sequence of decisions.
The decisions, made by humans or computers, describe a trajectory through a high …

The discharging method is a powerful proof technique, especially for graph coloring
problems. Its major downside is that it often requires lengthy case analyses, which are …

A Rubik's cube as a reconfigurable microfluidic system is presented in this work. Composed
of physically interlocking microfluidic blocks, the microfluidic cube enables the on-site …

Permutations and combinations are two basic concepts in elementary combinatorics.
Permutations appear in various problems such as sorting, ordering, matching, coding and …

This work reports on an approach to direct policy discovery (a form of reinforcement
learning) using genetic programming (GP) for the 3 by 3 by 3 Rubik's Cube. Specifically, a …

The problem of decomposing an arbitrary Clifford element into a sequence of Clifford gates
is known as Clifford synthesis. Drawing inspiration from similarities between this and the …

The factorization problem in non-abelian groups is still an open and a difficult problem [12].
The hardness of the problem is illustrated by the moves of the Rubik's cube. We will define a …

The problem of decomposing an arbitrary Clifford element into a sequence of Clifford gates
is known as Clifford synthesis. Drawing inspiration from similarities between this and the …