Wolfram Computation Meets Knowledge

Wolfram Summer School


Aranka Hrušková

Science and Technology

Class of 2016


Aranka Hrušková enrolled at the University of Cambridge to study mathematics in 2014 after completing her previous education in Prague. She would like to become a professional researcher, and did a minor project about continued fractions while in high school, for which she was awarded a silver medal at Intel ISEF. Apart from academic activities, Aranka enjoys playing the clarinet.

Project: Representation of Integers in Terms of 1s

Mathematica 11 features a new function called Groupings. Given a list and a positive integer k, Groupings returns all possible nested lists such that every nested sublist has k elements (when the resulting list of lists is evaluated in the tree form, every “List” node apart from the outermost one has k outgoing edges). Moreover, we can apply a function f in every “List” node in the tree, which correspond to different bracketings of the list.

If we feed Groupings a constant array of 1s and a function, we can study which functions succeed in producing all integers just from 1s and which don’t.

Favorite 3-Color 2D Totalistic Cellular Automaton

Rule 1128755867