Math Is Fun Forum

Srikantan

Member

From: Tanjore

Registered: 2016-06-04

Posts: 42

Distance between points

Re-opened since not getting diagnol of 1/sqrt(6)and also 5/12 how you are comparing.

Last edited by Srikantan (2016-06-05 00:09:41)

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Distance between points

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Distance between points

Hi;

Re-opened since not getting diagnol of 1/sqrt(6)and also 5/12 how you are comparing.

5 / 12 is bigger than 1/sqrt(6), so the two points that are in that subsquare are closer than 5 / 12 together because the maximum possible distance between them is 1/sqrt(6).

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Distance between points

I posted my comment since I got the value of 5/12 .But I am not convinced. If the 12 items are placed at the center of each rectangle the minimum distance comes to 1/4 and not correct. if I start from one corner I can only place 10 items at distance of 5/12. There also it fails. going away from this problem, if I had divided 1x1 m square into 9 smaller squares I would be able to place 12 items at minimum distance of 1/3 m or 8 items at minimum distance of

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}