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Topic: How many concave quadrilaterals are in a 3 by n array?
Replies: 9   Last Post: Sep 27, 2006 10:37 AM

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 Ulrich Kortenkamp Posts: 18 Registered: 12/11/04
Re: How many concave quadrilaterals are in a 3 by n array?
Posted: Sep 11, 2006 4:39 AM

On 11.09.2006, at 08:55, Oliver Stemforn wrote:

> Ulli,
>
> it is NOT an ambiguous question.

Actually it was to me, otherwise I wouldn't ask.

> 1) I stated that it is a 3 by n array, hence 3n dots.
>

Well, for those who work with homogeneous coordinates, 3 coordinates
for a single point is not really surprising. And as those people,
including me, usually write down n points as an 3 by n matrix, it's

> 2) I stated that they are "in one plane" so there is no 3-space to
> consider.

Again, there is no problem with having a plane in 3-space. And if you
think projectively, 3-space isn't that far from the projective plane.

Now, let me ask another question, because I still don't understand
your question: What are the entries of the 3 by n matrix? What
exactly do you mean by "dot"?

Ulli

Date Subject Author
9/9/06 Oliver Stemforn
9/10/06 Joshua Zucker
9/10/06 Oliver Stemforn
9/10/06 Ulrich Kortenkamp
9/10/06 Oliver Stemforn
9/11/06 Ulrich Kortenkamp
9/11/06 Oliver Stemforn
9/11/06 Oliver Stemforn
9/12/06 Joshua Zucker
9/27/06 Dan Cass