Drawing Four Dimensional Cubes


Over a hundred years ago Einstein added the dimension of time to our 3 dimensions of space. By now, everybody should be able to draw a 4 dimensional cube. Here, is how to draw a simplified 4 dimensional cube, a 4-cube.

Einstein said and I've simplified his quote, "Systems should be complete and simple as possible."
+ Complete, in that the 4-cube drawing is a 4 dimensional cube.
+ Simple, as in the fewest lines and easiest instructions.
For fewest lines, the key is draw without hidden lines.

These are the easiest instructions, only two steps:
1. Draw dimensional baselines, the base lines of the cube.
2. Draw parallel lines to the base lines.

To get started and learn about baselines and parallel lines, draw a square.

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To draw a cube, it's the same steps, just one more dimension which is just one more baseline.

1. Draw the dimensional baselines.
2. Draw the square sides using the baselines as guidelines.

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Draw Cubes

Dimensional Baselines Overview

The number of baselines is the same as the number of dimensions.
The baselines are guidelines to draw the rest of a cube's square lines.

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Draw dimensional baselines


Four Dimensional Cube

To draw a 4-cube, it's the same steps as above, just one more dimension which is just one more baseline.

1. Draw the dimensional baselines.
2. Draw the square sides using the baselines as guidelines.

The trick is drawing the 4 dimensional baselines. After that, it's the same steps as above.

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Draw dimensional baselines


Reference

Albert Einstein is often quoted as saying, "Everything should be made as simple as possible, but no simpler." See the Quote Investigator for further details.
Occam's razor says, when presented with competing hypotheses that make the same predictions, one should select the solution with the fewest assumptions.
Lao-Tzu, the author of the Tao Te Ching, named simplicity as one of his top three virtues. Compassion and modesty being the other two.