Re: Why Archimedes Plutonium will never proof the 4CT

Chris Heckman wrote:
After playing around with Paint, I have uploaded a map that requires 4
colors, but no 4 regions are adjacent. You can find it at
http://math.asu.edu/~checkman/4Col.bmp .

A.P. writes:
That is false, for it is a 4 adjacency region. Before one starts to
color Chris's example they first call each country that has a
pointwise-adjacency as one whole complete country, and for example
Chris's A is one country. Thus there is a 4 adjacency in his example
where country A is my country #1 and where my country #4 is the
combined inverted V with part of the smaller triangle pointwise
connected.

So in total, Chris's above is just a elaboration, and more complicated
picture of mine below:

^
/ /\ \
/ / \ \
/2 / \3 \
/ / 4 \ \
/----------------------\
1
-------------------------|

The inability of Chris to ever have a 4 required colors yet have less
than 4 maximum adjacency only strengthens my claim that the real proof
of 4-Color Mapping is simply this:

Proof: Suppose false, then there exists Map which has 5 adjacencies and
thus a contradiction to Moebius theorem that 4 adjacencies is the
maximum.

That, ladies and gentlemen is a mere one sentence proof of 4 Color
Mapping whereas Appel and Haken and RSST require thousands and tens of
thousands of pages to try to do the same. Yet when Appel and Haken and
RSST are done, they are never convincing of a proof. Whereas mine is
airtight, ironclad. And which Chris is slowly coming to realize.

Throw me another example, Chris, for me to bite on.

Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies

.

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