[Woodcarver] Geometry question for the group

[Tom Clarke]

http://mathforum.org/dr.math/faq/formulas/faq.regpoly.html

http://mathforum.org/dr.math/faq/formulas/index.html

http://www.geom.uiuc.edu/docs/reference/CRC-formulas/node21.html#SECTI
ON01500000000000000000

Are just some of what's out there. Using the formula's given a side
length or taking
an exterior circle one could then draw the polygon for any sided.
Problem with one
with 13 sides is the angle isn't a whole number. Probably give you
fits.

Tom (nj)

-----Original Message-----
From: woodcarver-bounces at six.pairlist.net
[mailto:woodcarver-bounces at six.pairlist.net]On Behalf Of Victor
Hamburger
Sent: Wednesday, September 29, 2004 11:04 PM
To: Woodcarver
Subject: [Woodcarver] Geometry question for the group


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I did well in geometry in High School, but that was more than a while
ago now.
I am interested in learning to draw a 13 point star geometrically.  I
know I can
lay one out with a CAD program, but the Cathedral at Chartres, built
700-800 yrs
ago, has a labryinth laid out on the floor.  To correctly design the
labyrinth,
you need to know how to lay out a 13 point star.  In those days, some
builder
knew how to lay out a 13 point star to do this........

I have googled around and not found anything on 13 point stars and
geometry, at
least not that I can see on the links!  Any googling on labyrinths
gets me lots
of info except how to lay out the star for this one.

BTW, a labyrinth is a path, laid out in a geometric figure such as a
circle
(Chartres) or other figure.  It has an entrance and end point in the
middle and
to get in and out again you follow the singular path.  A maze on the
other hand
has a path but with multiple turns that are wrong turns and dead ends.
The
point of the labyrinth is to enter and walk the path, allowing your
mind to be
free to pray, chant, or otherwise let go of your usual thoughts and
let your
inner thoughts take over. You can learn more by googling on labyrinths
and Grace
Cathedral in San Francisco.  They have an extensive set of links and
details
there to more info on labyrinths.

What has this got to do with carving? Well, beside the rosette
possibilities for
chip carving a 13 point star, there are finger labyrinths you can
carve so you
don't need a 45' circle in your house or garden......only an 18" sq
board.  I
may never carve one, but it is worth the mental challenge to pursue
it.

Thanks,  Vic H


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