Jump to content

A grid and a shape


Recommended Posts

Imagine points on a plane which are vertices of a square 1x1 grid covering the entire plane.

image.png.de6682372b900e0a82e148235e22e9fe.png

Find a shape with area < 1 such that it cannot be placed on the plane without touching at least one of these points.  

Link to comment
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
 Share

×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.