High School Tesseract Dimensions: Inner Cube vs Outer Cube

Click For Summary
When creating a 3D representation of a tesseract, the size of the inner cube relative to the outer cube is arbitrary and can vary based on artistic interpretation. Different proportions can illustrate various perspectives of the fourth dimension, but there are no strict rules. For 3D printing, the thickness of the connecting lines between the cubes is also flexible and should be determined by practical needs rather than mathematical accuracy. Ultimately, the focus should be on achieving a visually appealing model. The design choices are subjective and can enhance the overall aesthetic of the tesseract representation.
LightningInAJar
Messages
271
Reaction score
36
TL;DR
tesseract dimensions
When drawing a tesseract in 3D how large should the inner cube be compared to the outer one?
 
Mathematics news on Phys.org
It's up to you, it's completely arbitrary. Different sizes will correspond to different points of view in 4D (with some simplifications).
 
I just wanted to 3D print a model. Wasn't sure if the lines leading between the cubes needed a different thickness to be more correct.
 
Well, they are lines, their thickness is purely coming from practical considerations.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 35 ·
2
Replies
35
Views
5K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 13 ·
Replies
13
Views
6K
  • · Replies 7 ·
Replies
7
Views
2K