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:
ï· Computer with internet access
ï· 3d modeling software (or download my design for free)
ï· 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.