All Questions
Tagged with optimization three-dimensional
6
questions
0
votes
1
answer
286
views
Identical cubes in a sphere
Suppose that you have a sphere of radius 10cm. At most how many cubes of side 1cm can you fit in the sphere such that:
A cube can touch another cube (share a face, an edge or a point) but cannot ...
- 6,135
7
votes
4
answers
2k
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Fair d5 with as few faces as possible
Challenge: design a polyhedral die that will always give one of five outcomes, each with equal probability.
While achieving that, minimize the total number of faces of the die. Think of the die as ...
- 7,158
1
vote
1
answer
137
views
How to arrange a set of cubes to get a tower of two?
The puzzle is as follows:
Assume that you have this peculiar toy. This toy is composed by many plastic pieces which is shown in the figure from below, all of them are cubes. You can use as many as ...
- 1,565
13
votes
2
answers
1k
views
Flood on the top floor
There has been a water incident on the top floor of a building, and one apartment has suffered some water damage. As in, a lot of water damage. The entire apartment is filled waist deep with ...
- 78.9k
9
votes
1
answer
356
views
3D Chess - Stale NBA (kNight-Bishop Assault)
This is my very first chess puzzle. Any constructive feedback is more than welcome. Thanks!
Introducing 3D Chess!
To make things simple for the first time, we are using a $3\times3\times3$ ...
- 21.7k
15
votes
1
answer
2k
views
Is this 3d Sudoku possible?
I was looking at images of 3d Sudoku's on Bing, because I was looking for a $9\times9\times9$ Sudoku, where each horizontal, vertical left-right and vertical top-bottom plane was also a Sudoku.
...
- 35.6k