Jump to content
BrainDen.com - Brain Teasers
  • 0

Turn off the light


Question

A Bright Star is a sphere, not just a point, that emits light in all directions from every point on its surface. A Dark Star is an opaque sphere whose dull black surface reflects no light. Dark Stars come in all sizes. Your assignment is to get and position a few of them around a given Bright Star in such a way as will absorb all its light, thus rendering it invisible from afar in every direction. What is the minimum number of Dark Stars required to carry out this task, and why?

Link to post
Share on other sites

5 answers to this question

Recommended Posts

  • 0

I would start out with 4 Dark Stars in the shape of a polyhedron (three sided pyramid) large enough to contain the Bright star and touch each other, surrounded by another polyhedron of Dark Stars (rotated to cover the existing gaps) large enough to contain the inner polyhedron and touch each other.


Total of 8 Dark stars.

(Although the scale of the problem makes my head hurt)

Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
  • Recently Browsing   0 members

    No registered users viewing this page.

×
×
  • Create New...