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Topic: Random Triangle Problem
Replies: 57   Last Post: Aug 17, 1997 10:51 PM

 Messages: [ Previous | Next ]
 tony richards Posts: 164 Registered: 12/8/04
Re: Random Triangle Problem
Posted: Jul 30, 1997 4:00 AM

kramsay@aol.com (KRamsay) wrote:
>In article <5rk86u\$np6@newton.cc.rl.ac.uk>, tony richards
><tony.richards@rl.ac.uk> writes:
>
>|My final question is , 'why persist in believing that the probabilities
>for each
>|vertex being obtuse must be the same', when it is clear that, given the
>first
>|two points,
>
>What do you mean by "first two"? One is picking a triangle at random.
>

I mean that before you can 'pick a triangle' you first have to construct it and
the original post referred to the method of construction involving
'choosing' three points 'at random' on a (presumably flat) surface, the points
being made the verteces of a triangle.
So I was referring to the first two of the triple of points making up the
verteces of a triangle.

My argument is and remains, generating triangles by joining up three randomly generated
points (over an infinite plane) will produce a slightly different proportion of obtuse angles
triangles (0.7648414 , which = 1 -(1/3)+pi/32) than the proprtion (0.75) which will be produced
by generating triangles as the included space between three randomly generated straight lines
(random in direction and location on the plane).

--
Tony Richards 'I think, therefore I am confused'
Rutherford Appleton Lab '
UK '

Date Subject Author
7/16/97 Mike Housky
7/21/97 Bill Taylor
7/22/97 tony richards
7/24/97 Brian M. Scott
7/23/97 tony richards
7/23/97 T. Sheridan
7/24/97 Bill Taylor
7/24/97 Bill Taylor
7/25/97 Ilias Kastanas
7/23/97 Robert Hill
7/23/97 tony richards
7/27/97 Bill Taylor
7/24/97 Robert Hill
7/28/97 tony richards
7/30/97 Bill Taylor
7/30/97 tony richards
8/1/97 Bill Taylor
7/24/97 Robert Hill
7/24/97 Robert Hill
7/24/97 Robert Hill
7/25/97 Robert Hill
7/30/97 Bill Taylor
8/1/97 Charles H. Giffen
8/1/97 John Rickard
8/1/97 Chris Thompson
8/1/97 John Rickard
8/4/97 Bill Taylor
8/5/97 John Rickard
7/25/97 Charles H. Giffen
7/25/97 Charles H. Giffen
7/28/97 Hauke Reddmann
7/28/97 Robert Hill
7/28/97 Robert Hill
7/28/97 Robert Hill
7/29/97 tony richards
7/30/97 Keith Ramsay
7/30/97 tony richards
8/2/97 Keith Ramsay
7/29/97 tony richards
8/4/97 Bill Taylor
8/5/97 Charles H. Giffen
8/6/97 Terry Moore
8/7/97 Terry Moore
8/16/97 Kevin Brown
8/17/97 Kevin Brown
7/30/97 Robert Hill
7/31/97 tony richards
8/6/97 Terry Moore
7/31/97 John Rickard
7/30/97 Robert Hill
7/31/97 Robert Hill
7/31/97 Robert Hill
8/1/97 R J Morris
8/4/97 Robert Hill
8/4/97 Robert Hill
8/5/97 Charles H. Giffen
8/6/97 Robert Hill