On this website, my goal is to give you an intuitive understanding of a 4th spatial dimension. To achieve this, we'll first brush up on simple 2D and 3D space, then using that knowledge we'll …

The controls on the right will manipulate the tesseract in 4D space, and you can explore its 3D projection by clicking and dragging with your mouse. To get you started, a favorite view of …

Four-dimensional space The 4D equivalent of a cube is known as a tesseract, seen rotating here in four-dimensional space, yet projected into two dimensions for display.

For many kinds of four dimensional data, you can use color to represent the fourth dimension. This works well if you have a function of three variables. For example, represent highway …

Apr 26, 2017 · One commonly explored 4D object we can attempt to visualize is known as a hypercube. A hypercube is analogous to a cube in 3 dimensions, just as a cube is to a square.

Interactive Models of 4D Objects The following images link to interactive models of some of the four-dimensional objects we've studied. To use the interactive versions, your browser must …

In this project, I implemented Mathematica visualisations of 4-dimensional data (4D polytopes, 4D points clouds and 4D cellular automata using various 4D visualisation techniques, extending …

Feb 6, 2018 · The rest of this document will describe in detail the basic principles of 4D visualization, as well as provide a number of examples of 4D objects. We shall take a purely …

With 4D imaging, we are afforded the extraordinary ability to perceive and understand the complex movements and transformations that unfold within the body over time. This innovative …

The first video in a multi-part series on understanding and visualizing the 4th dimension, from a mathematical point-of-view. We'll understand where a 4th dimension lies, what 4D space is,...