A tesseract is a ‘four dimensional cube’, that is projected into three space. The qualifier may be unnecessary, but of course you’ll never see an example of a tesseract for which this isn’t the case.

Continue reading “Cubes and Tesseracts on Paper”

Skip to content
# Cubes and Tesseracts on Paper

# The Dignity [sic] of the Monte Carlo Method

# Notation Stifles Arithmetic Intuition Building

# Artin Problems: Section 4.1.

# Problems from Chapter 4: Linear Operations, Section 1: The Dimension Formula

Tag: Education

A tesseract is a ‘four dimensional cube’, that is projected into three space. The qualifier may be unnecessary, but of course you’ll never see an example of a tesseract for which this isn’t the case.

Continue reading “Cubes and Tesseracts on Paper”

Advertisements

Without a source I recall a text I read which described the invention of the Monte Carlo Method, and how it “was dignified with a name” after being used extensively during the Manhattan Project. This is a fantastic phrase that fits this method well.

Continue reading “The Dignity [sic] of the Monte Carlo Method”

There are a multitude of ways to represent additive and multiplicative operations. Typically students will learn something like the following for addition, subtraction, multiplication and division respectively. Where are real numbers.

Here I am just going to enumerate the problems with these basic notations and why similar notations do not work either, and then conclude with modern notations that are well suited to these operations.

Continue reading “Notation Stifles Arithmetic Intuition Building”