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Topic: BUSTED! Re: Myth-busting pentagons by compass & straight edge.
Replies: 9   Last Post: Aug 23, 2013 11:11 PM

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Wayne Bishop

Posts: 5,465
Registered: 12/6/04
Re: BUSTED! Re: Myth-busting pentagons by compass & straight

Posted: Aug 23, 2013 7:43 PM
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Good suggestion but I'd go one step furtherÂ… I
think it's only fair that he used the ancient
Greek's collapsing compass at least for the ancient constructions.


At 08:09 AM 8/23/2013, Joe Niederberger wrote:
>J Crabtree says:
>3) Explain the proofs and the mathematics are
>fine, yet it is inevitable that errors will
>accumulate for you (the student/reader) just as
>they do for me (the expert/author).
>If you want to explain some mathematics, why not
>give us your analysis of what errors occur,
>their relative magnitudes and distributions, the
>overall accumulation of such errors for each of
>5 or so different pentagon constructions?
>Then you can set "acceptable" tolerances on the
>resulting figures drawn according to the rules.
>Further explain what actions might be taken
>outside the regimen of strict straightedge and
>compass construction to improve upon the error limits explored above.
>We could then separate those "improvements" into
>two categories - those that are so subtle they
>may go unnoticed (cheating) and those that are quite explicit.
>Armed with your knowledge, go and promote a
>"Pentagon Drawing Contest" TV show - where the
>winner takes home $1,000,000 (Ausie). Have it
>become the #1 watched show in Australia, and then move into the Merican market.
>Create a huge scandal when the cheaters are exposed...
>Make a movie about the scandal...
>And so on..
>Joe N

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