All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Algorithms
Constructing a Sphere (Posted on 2012-02-25) Difficulty: 3 of 5
I would like to construct a sphere by gluing unit cubes together. I'm only attempting to approximate the shape of a sphere as closely as is possible with unit cubes.

Before I get out the glue, how would I go about creating a spreadsheet that would show me the quantity and placement of cubes in each cross-sectional layer? (think of an MRI scan cross-section)

For input, the spreadsheet should ask for the radius of the sphere to be built, as well as which layer of that sphere should be displayed.

There may be more than one way to accomplish this. Any spreadsheet that will allow me to build a sphere by displaying each layer of a sphere for a given radius is considered valid.

Here is an example of output:

Hint: The formula for distance in 3 dimensions is:

d=√[(x2-x1)2+(y2-y1)2+(z2-z1)2]

Bonus question! Adjust your algorithm to display a hollow sphere (think of a ping pong ball, or a beach ball). Note: All cubes must be connected into one contiguous piece.

No Solution Yet Submitted by Dustin    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): coming from behindbrianjn2012-03-02 22:28:41
re: coming from behindbroll2012-03-02 11:08:59
coming from behindbrianjn2012-03-02 06:06:33
re(2): Bonus thoughtsSteve Herman2012-02-27 09:33:08
re: Bonus thoughtsDustin2012-02-27 04:00:18
Screenshot of a hollow sphere and historyDustin2012-02-27 03:51:25
re: Bonus thoughtsbrianjn2012-02-26 19:58:05
Bonus thoughtsSteve Herman2012-02-26 19:06:11
re(2): Excel implementation - Javascript Emulationsbrianjn2012-02-26 18:41:57
re(2): Excel implementation of Specific Algorithmbrianjn2012-02-26 18:01:56
re: Excel implementation of Specific Algorithmbrianjn2012-02-26 17:56:25
re: Excel implementation of Specific AlgorithmDustin2012-02-26 16:45:46
SolutionExcel implementation of Specific AlgorithmSteve Herman2012-02-26 12:58:08
re: More specific algorithm (spoiler)brianjn2012-02-26 08:43:28
SolutionMore specific algorithm (spoiler)Steve Herman2012-02-26 01:24:50
Some ThoughtsOne passionate solution (without bonus)Steve Herman2012-02-26 00:55:31
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information