?

Log in

Previous Entry | Next Entry

Polygons

When I am not posting to my livejournal, I often think about odd mathematical problems. Such as, For any polygon with more than 4 sides, is it possible to draw a rectangle inside it such that each vertex touches an edge of the polygon, and no two vertices are on the same edge?

Comments

( 8 comments — Leave a comment )
eds3
Oct. 8th, 2007 04:42 pm (UTC)
Me, too!
I have a similar affliction. Earlier today I was walking toward the vending machine with a large number of coins. I wondered which was the optimum transaction for a $0.40 purchase- 1 quarter, 1 dime, 1 nickel, or 4 dimes, or 2 quarters with 1 dime as change. Then I began wondering what I meant by "optimum." Am I optimizing for weight, for fit in my pockets, or for ability to make change later?
kevin_hogan
Oct. 9th, 2007 03:01 am (UTC)
Re: Me, too!
Optimum, of course, is the minimum transaction which uses no quarters and returns all quarters as change - because everyone knows that quarters are the most useful coins!
grieve
Oct. 11th, 2007 01:40 am (UTC)
Re: Me, too!
I thought optimum was fewest coins with highest symmetry, so 2 quarters with 2 nickels change would be optimal. :)
kevin_hogan
Oct. 11th, 2007 01:54 am (UTC)
Re: Me, too!
You obviously don't do your laundry with a coin-op washer ;)
grieve
Oct. 11th, 2007 02:26 am (UTC)
Re: Me, too!
That explains the importance of quarters. Ah yes... I remember those days. :)
kevin_hogan
Oct. 9th, 2007 03:12 am (UTC)
I am most sorry to hear of your affliction - from personal experience, I can almost assure you that you will not be able to live a "normal" life :)
chidorho
Oct. 11th, 2007 04:17 am (UTC)
Seems like a squarish letter M (with the bottom vertices connected) provides a counter example.
grieve
Oct. 12th, 2007 12:56 am (UTC)
Well that is one less thing to ponder. :)
( 8 comments — Leave a comment )

Latest Month

July 2011
S M T W T F S
     12
3456789
10111213141516
17181920212223
24252627282930
31      
Powered by LiveJournal.com
Designed by yoksel