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