RaphaelFilgueiras 3 years ago how many corners does a cube have in 4-D?How many 3-D faces?How many edges?A typical corner is (0,0,1,0),a typical edge goes to (0,1,0,0).

1. estudier
2. RaphaelFilgueiras

@estudier but how do i calculate it?

3. RaphaelFilgueiras

the edges

4. bahrom7893

Ok, this is something I kinda learned in graph theory..

5. RaphaelFilgueiras

it's algebra question of strang book

6. bahrom7893

|dw:1348059008536:dw|

7. bahrom7893

2 dots make a line, two lines make a plane, if you connect the corresponding edges of two planes, you get a 3D cube, and finally, if you connect the corresponding edges of two 3D cubes you get a 4d cube.

8. bahrom7893

|dw:1348059107792:dw|

9. bahrom7893

that looks soo messy, but that's what a 4D cube should look like.

10. bahrom7893

it has twice as many corners as a 3D cube

11. bahrom7893

and uhm.. let me count the number of edges.. |dw:1348059232884:dw|

12. bahrom7893

So it should have 32 edges

13. bahrom7893

http://upload.wikimedia.org/wikipedia/commons/4/45/Dimension_levels.svg This is what I was trying to explain with my messy drawing

14. RaphaelFilgueiras

where the 12 come from?

15. bahrom7893

12 edges of a cube

16. RaphaelFilgueiras

ok

17. RaphaelFilgueiras

thanks @bahrom7893

18. bahrom7893

|dw:1348059530435:dw| and you're welcome

Find more explanations on OpenStudy