Tesseract

By: Tim Chen

This project attempts to model a hypercube in OpenGL

Overview

Rotations of a standard cube are pretty intuitive for humans, there are

three axis on which the cube can rotate (x,y,z). However, rotations of a

4d cube (tesseract/hypercube), are less intuitive and frankly mind-boggling.

With a few mathematic and graphic techniques, we can model the shadow of

a tesseract. A tesseract doesn't rotate about axis, but instead about planes.

Below are a few examples of a tesseract's rotations.

Rotations

XY-Rotation

ZW-Rotation

XY-Rotation + ZW-Rotation

Graphics Technologies

References