Picture of 3d 4-Dimensional Tesseract Hypercube Model A TJT3/6
sq tesseract.jpg
This instructable explains how to produce a 3d model of a 4d cube. The model can be described as a 3d shadow of a 4d object. 4d cubes are also referred to as hypercubes or tesseracts.

This is the first of two instructables I'm putting up to show how to make each of two commonly-accepted 3d projections of 4d cubes. For at least a century this has been an accepted understanding of 4d geometry. This instructable is Time-Journey Tool 3 of 6.

If you do not wish to create your own model in 3d-modeling software, you can take the easy way out and download my model for free at:

If you wish to 3d-model your own 4d hypercube, this instructable provides instructions for modeling in Rhino. If you want to try some 3d-modeling software for free, either get Rhino's evaluation copy at:

...or some excellent, Free 3d-modeling software at:

Recommended Materials and Processes:

 Computer with internet access
 3d modeling software (or download my design for free)
 access to 3d printer (I use Shapeways.com)

You can build the model in Rhinoceros 3d software according to the following instructions, or else you can simply download the model I created. It's free. The best part is you can have a 3d printer service print it if you don't have your own printer yet. I use Shapeways.com. (Though, alas, I dream of my own printer.)

A way to visualize the 4th dimension is to consider relationships between dimensions. For example. A line can cast a shadow that looks like a point. A square can cast a shadow that looks like a line. A 3d cube can cast a shadow that looks like a square. So too a 4d hypercube can cast a shadow that looks like the 3d object of this instructable.