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.
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.
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.
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.
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.