This instructable explains how to produce a 3d model of a 4d cube. It can also be described as a 3d shadow of a 4d model. It is the second of two 3d models of 4d objects I'm uploading. It is Time-Journey Tool 4 of 6.
If you do not wish to create your own model in 3d-modeling software, you can take the easy way out and just download my model for free at:
If you wish to 3d-model your own 4d hypercube, I can offer instructions for 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)
We experience our lives in 3 dimensions. Einstein showed we live in 3 spatial dimensions with a 4th dimension of time. This is the spacetime continuum. The 4th dimension upon which this instructable instructs is the spatial 4th dimension.
Dana Carvey as "the Church Lady" used to ask something like, "isn't that spatial?" Indeed it is.
Were we stick figures living out our lives, strolling around on a sheet-of-paper Universe, it would be maddeningly confusing for someone to elucidate the "3rd dimension" to us when our entire culture has been defined by "up" & "down", "left" & "right".
Nonetheless, we can do it. Should we wish to transcend the limitations of these measly 3 dimensions we must consider that which we have not previously experienced, back on the sheet-of-paper Universe.
Step 1: More Description of the 4th Dimension
This step of the instructable is included in an attempt to make basic 4-dimensional geometry clear. If you already understand 4d or don't wish to read it right now, skip to the next step.
0 – A point is a hypercube of dimension zero.
1 – If one moves this point one unit length, it will sweep out a line segment, which is a unit hypercube of dimension one.
2 – If one moves this line segment its length in a perpendicular direction from itself; it sweeps out a 2-dimensional square.
3 – If one moves the square one unit length in the direction perpendicular to the plane it lies on, it will generate a 3-dimensional cube.
4 – If one moves the cube one unit length into the fourth dimension, it generates a 4-dimensional unit hypercube (a unit tesseract).