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Topic: Classification of quadrilaterals
Replies: 17   Last Post: Jan 11, 1995 6:43 AM

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William T. Webber

Posts: 16
Registered: 12/3/04
Re: Classification of quadrilaterals
Posted: Dec 21, 1994 8:26 AM
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On 21 Dec 1994, Chenteh Kenneth Fan wrote:

> But I at least offer these:
> 1. Which quadrilaterals tesselate the plane?
> 2. (i'm groping) Given a tesselation of the plane into congruent triangles,
> which quadrilaterals can be formed from a finite union of these triangles?
> 3. (groping...groping...) Which quadrilaterally shaped billiard tables
> allow for ball trajectories which touch fewer than four sides? (no friction...
> no ball size...cross reference this weeks problem of the week!)
> (Note: the answers to these all include the trapezoids...but the answers
> do not include generic quadrilaterals.)
> Ken

I haven't looked into the second and third, but it is not true that general
quadrilaterals do not tile the plane. -To make that a positive statement-
Any quadrilateral will tesselate the plane. There is no restriction on the
quadrilateral (not even convexity).

Will Webber

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