Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Sierpinski carpet geometric question
Replies: 9   Last Post: Jul 31, 2014 3:32 PM

 Messages: [ Previous | Next ]
 G. A. Edgar Posts: 2,510 Registered: 12/8/04
Re: Sierpinski carpet geometric question
Posted: Jul 31, 2014 9:14 AM

In article <4rckt91um6ao9o6mdbun46t77ur04am01g@4ax.com>, Leon Aigret

> The line segment from (0, 0) to (1, 1/2) fits because -- with the
> whole square shaped region divided into nine subsquares -- it avoids
> the central subsquare and in the subsquares through which it does
> pass, the position of the intersection is similar to the position of
> the whole line segment in the whole region.
>
> Similarly, the line from (0, 1/2) to (1/2, 0) is an example for the 45
> degrees orientation.

So, these are solutions to the original question! To see that they
work does not require the omitted "tedious details". (Those details
are used to show that no other slopes are possible.)

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/

Date Subject Author
7/27/14 David Bernier
7/27/14 Brian Q. Hutchings
7/28/14 William Elliot
7/28/14 Niels Diepeveen
7/28/14 Richard Tobin
7/28/14 David Bernier
7/29/14 Richard Tobin
7/31/14 Leon Aigret
7/31/14 G. A. Edgar
7/31/14 David Bernier