Jump to content

Longest Running Thread EVER


Recommended Posts

Re: Longest Running Thread EVER

 

still has two sides. Cancer may disagree or insert his perspective.

 

Only in the classical way: make a Mobius band, then put a pen down on it at one point, and draw a continuous curve on it along the length of the paper until you reach the same pen mark. If there's two sides, you'll need to put your pen down on unmarked paper twice. If there's one side, then you'll only need to put the pen down once.

 

You can do the same stunt with edges, too. Run a marker along the edge of the strip until you come back to previously marked edge. If there's two edges, you will have to start the marker-running twice. If you only have to put the marker down once, then there's one edge.

Link to comment
Share on other sites

Re: Longest Running Thread EVER

 

Here's another topological brain teaser.

 

On a piece of paper, draw three squares (call them "houses") anywhere you want.

 

Next, draw three dots (call them "utilities") of three different colors (e.g., red, green, blue).

 

Challenge: connect each utility to each house using a single curve. Curves are not allowed to split or cross.

 

Warning: It is not possible to perform the challenge task on a sheet of paper, or on the surface of a sphere.

 

However, it is possible to perform the challenge task if the squares & dots are drawn on the surface of a torus (donut).

Link to comment
Share on other sites

Re: Longest Running Thread EVER

 

Here's another topological brain teaser.

 

On a piece of paper, draw three squares (call them "houses") anywhere you want.

 

Next, draw three dots (call them "utilities") of three different colors (e.g., red, green, blue).

 

Challenge: connect each utility to each house using a single curve. Curves are not allowed to split or cross.

 

Warning: It is not possible to perform the challenge task on a sheet of paper, or on the surface of a sphere.

 

However, it is possible to perform the challenge task if the squares & dots are drawn on the surface of a torus (donut).

 

hee hee

 

clockwise/anticlockwise

Link to comment
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.
Note: Your post will require moderator approval before it will be visible.

Guest
Unfortunately, your content contains terms that we do not allow. Please edit your content to remove the highlighted words below.
Reply to this topic...

×   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...