My first poston G4G13 is arguably here. To see why its debatable, see that post.

FOXTROT HALF-EMPTY, HALF-FULL PROBLEM, INCLUDING 13 by Thomas Francic Banchoff

In a Foxtrot cartoon (see here) Foxtrot has a glass which looks like it is half-full (or half-empty)

and asks people if its half-full or half empty. But the jokes on them!

The class is slightly angled so its actually 5/12 full (or 7/12 empty)

Given the area of the top and bottom What is the angle?

Generalize to other dimensions.

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HEX PRIMES by Spandan BandyopadhyayHere is an alternative definition of primes that

lends itself to a generalization.

A number x is PRIME if when there is a rectangle with

integer sides and area x, one of the sides is 1.

Lets generalize this!

A number x is TRIPRIME if when there is a triangle with

integer sides of area x, one of the sides is 1.

Rather than use these prefixes we will go with

A number x is n-PRIME if when there is a convex n-gon with

integer sides and area x, one of the sides is 1.

HEXPRIMES are of course 6-primes.

The problem with 5-minute talks (maybe it should have been 6 minutes)

is that the concept is intersting but I didn't get to hear much

about them. And I could not find a paper on line. Note that this

conference has many non-academics for whome PAPERS are not the

basic currency so things are more informal. This is GOOD in that

its more of a free-for-all, but bad for follow up.

ALL of G4G12's are on You-Tube, so when that happens for G4G13,

I can follow up on this.

One thing I did manage to write down- 7 is the first HEX-composite.

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