Back to Summer Programs

Wolfram Summer School

June 18–July 7, 2017
Bentley University, Waltham, MA


Philip Dutton

Class of 2009


Philip Dutton grew up in Seoul, South Korea. He received his BS in computer science and engineering from LeTourneau University in Longview, Texas, USA in 1998. He has worked as a design engineer at FlightSafety International's Simulation Systems Division programming navigation avionics and projector-based 3D image generators for FAA level D flight simulators. He has also worked in information technology and software engineering fields, with roles such as database administrator, software developer, and project manager. Most recently he worked as a programmer/analyst for EagleEye Analytics in the field of insurance data mining. He is currently building a web-based ESL (English as a Second Language) services company. In pursuit of creative inspiration he might be found traveling, riding a snowboard or a mountain bike, painting, editing video, building custom high-end tile and stone baths, creating digital art, or writing lyrics.

Project: Operator-Based Number Representations

"Instead of repeatedly applying an operation to a sequence of digits one can consider forming integers (or other numbers) by performing trees of operations on a single constant." —A New Kind of Science, page 916.

What operators make good number representations within the polynomial, Boolean, or other function families? For each operator we can investigate a list of possible operator expression trees and their corresponding calculations. There are many questions one can ask about each operator. Do we see all numbers up to a certain limit? How much larger are the tree representations?

Favorite Three-Color Cellular Automaton

Rule 55483137558