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Topic: A ten-sided polygon has the following property ...
Replies: 40   Last Post: Jun 12, 2014 12:44 AM

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 quasi Posts: 10,226 Registered: 7/15/05
Re: A ten-sided polygon has the following property ...
Posted: Jun 11, 2014 5:52 AM

Phil Carmody wrote:
>quasi wrote:
>>
>>For each integer n >= 3, let f(n) be the greatest integer m
>>such that there exists an m-gon in the plane whose boundary
>>can be covered by n lines.
>>
>>Some tentative data:
>>
>> f(3)=3
>> f(4)=4
>> f(5)=10
>> f(6)=12
>> f(7)=18
>> f(8)=21
>> f(9)=32
>> f(10)=36
>> f(11)=48

>
>I'd like to see some images of the f(7)...

<http://postimg.org/image/fggezlp8b/>

quasi

Date Subject Author
6/8/14 Port563
6/8/14 James Waldby
6/9/14 Port563
6/9/14 William Elliot
6/9/14 Robin Chapman
6/9/14 Port563
6/9/14 Peter Percival
6/10/14 William Elliot
6/9/14 Peter Percival
6/9/14 Robin Chapman
6/9/14 Phil Carmody
6/9/14 Brian Q. Hutchings
6/10/14 Port563
6/10/14 Leon Aigret
6/10/14 Port563
6/10/14 Leon Aigret
6/10/14 Port563
6/10/14 Leon Aigret
6/10/14 Port563
6/10/14 Phil Carmody
6/10/14 Phil Carmody
6/10/14 Port563
6/10/14 Phil Carmody
6/10/14 Port563
6/10/14 thenewcalculus@gmail.com
6/10/14 Brian Q. Hutchings
6/10/14 Brian Q. Hutchings
6/11/14 Port563
6/10/14 Waldek Hebisch
6/11/14 quasi
6/11/14 quasi
6/11/14 quasi
6/11/14 quasi
6/12/14 quasi
6/12/14 quasi
6/11/14 Phil Carmody
6/11/14 quasi
6/11/14 Phil Carmody
6/11/14 Port563
6/11/14 Leon Aigret
6/11/14 quasi