# cubes in a 4-d hypercube

Discussion in 'Homework Help' started by zulfi100, Jun 21, 2013.

1. ### zulfi100 Thread Starter Active Member

Jun 7, 2012
464
1
Hi,
Can somebody plz tell me:

https://en.wikipedia.org/wiki/Hypercube

Zulfi.

2. ### WBahn Moderator

Mar 31, 2012
23,391
7,099
How do you get 3 from that reference. They explicitly give a different number.

3. ### zulfi100 Thread Starter Active Member

Jun 7, 2012
464
1
Hi,
Thanks for your response. Sorry I dont see their answer. Kindly guide me.

Zulfi.

4. ### LDC3 Active Member

Apr 27, 2013
920
161
Since the 4th dimension is beyond anyone's experience, all we can do is look at 3D shadows of 4D objects. The tesseract is the simplest object to view.
To find out how many cubes are in a tesseract, go to the table in the middle of the web page. On the row that says 4-cube, look for the column that says cells. That is the number of cubes in a tesseract.

5. ### zulfi100 Thread Starter Active Member

Jun 7, 2012
464
1
Hi,
Thanks. It says 8.

Zulfi.

6. ### djsfantasi AAC Fanatic!

Apr 11, 2010
3,632
1,318
Or draw the 3D projection of a tesseract and count the cubes directly. There is the inner cube, the outer cube (2 cubes) plus the projection between each of the 6 faces of these cubes (6 more cubes) giving 6+2=8.

7. ### zulfi100 Thread Starter Active Member

Jun 7, 2012
464
1
Hi,
I would try. But i have one related question. Are hypercubes possible in a 3d environment?

Zulfi.

8. ### WBahn Moderator

Mar 31, 2012
23,391
7,099
The 3-D projection of a 4-D object is a 3-D object. Think of it like a "shadow". You are a 3-D object but your shadow is a 2'-D object. The shadow of an n-D object is an object in (n-1) dimensions.

Jun 7, 2012
464
1
Hi,