Below is a thread going back to the argument on this list that Gerald
Hawkins, who showed the diatonic in crop circles, did not discover new Euclidian
Theorums. Dee's attachement I will copy and paste to the next, subject
'Back to the weird 2'.
**********thread read from bottom**************************
You stated below, in regards to the new theorems,
(quote), "...It was a lot of fun doing them." (unquote) What an
understatement, Dee, considering that you absolutly must, as do I, feel like the
real 'Indiana Jones'.
Hoping that my foot is not jamming up my mouth I am
going to say that there could be, might be, possibly be a problem in that the
'new theorums' supposed are covered by, incorporated in, or 'all a part of'
known, (not new), properties of regualar polygons. Perhaps.
Maybe. And to be frank I will go beyond 'not sure'. Dee, I don't
know. That is why I separated the issues in the book. The diatonic
observations are good enough for me.
I am on about 15 Internet math discussions groups.
The attack on Gerald Hawkins claims came from Polytopia, a Yahoo group.
And the guy who shot a hole in the concept of new Euclidian theorums is a great
guy, sharp mind, but thinks crops circles a hoax or joke. Talked about
mowing them in the lawn for his kids. In most all areas of math I consider
this group 'my betters'. So I am going to post both your file and this
thread to it and see what happens.
----- Original Message -----
Sent: Thursday, November 04, 2004 5:53 PM
Subject: Re: Analysis of The Miamisburg Formation; 3 Nov 2004
> Hi Michael:
> Thanks for your
reply and very kind words. Let me
> first address the Euclidean
theorems. Dr. Hawkins
> discovered and proved four theorems.
> After his death I wanted to read his
proofs. But I
> could find no one who had the proofs or knew how to
> them. So I undertook to prove them myself. I was
successful in proving all four theorems (not without
> In the process I discovered five
new theorems and
> proved them as well making a total of nine; all
unknown to the mathematics world in general.
Dr Hawkins checked Euclid's 12 volumes of theorems
found that they were not in his work. I too
> checked and did not
find them nor the five new ones
> which I discovered. Since I feel
that this is of
> interest to you I am sending the paper I wrote
> all the theorems.
> Now as to the Musical
notes encoded in the circles.
> They are not unrelated to the
theorems. In fact, all
> four of Dr. Hawkins theorems are related to
> notes. Alas, I found that only two of mine were; F
below middle C and F two octaves below Middle C.
> I hope
you enjoy the theorems and the crop circles
> as well. It was a lot
of fun doing them.
> Please let me know if you have
> questions or comments.
> --- Michael Donovan <michael1@...> wrote:
> > This is an eyeopener,
> > I have
much of a book, The Crop Circle Message,
> > complete. Over the
> > month I have recieved, (and seems that I am going
with), an offer from a
> > computer programer to put the material into
> > interactive computer program.
> I am going to make one comment, and hope
> > some feedback and
> > clairification.
> But, first, this is just wonderful work.
> > timing for me personally
> > is mindblowing.
> I have in front of me page 441 of The
Mathematics Teacher, Vol 91, No.
> > 5, May 1998 where Gerald Hawkins
posted some of his
> > concepts with a paid
> > advertisment
giving Boston University Research as
> > the source. I feel
> > it might, (I stress 'might'), be unfortunate that
two issues have become
> > intertwined. One being the observation
> > (and now other...,)
> > scales and notes being
observed in crop circles, and
> > the other the
possibility of additional Euclidian theorms. There
> > has been a
> > challange regarding the additional Euclidian
> > This came through the
> > Polytopia yahoo
math group, and these guys are no
> > slouches. Nor am I
> > enough to form an opinion, particularly without more
> information. I simply
> > forwarded that information to
Freddy Silva and never
> > got a reply. However,
> > I
was very unconcerned because I separate the
> > issues. The
> > the diationic 'crops' up again and again is for
> > far more exciting that
> > the possibility of a new
Euclidian theorm. And I am
> > suggesting that it
'might' be wise for all to make that separation
> > until the new
> > question is resolved. At least that is what I
> > doing.
> > That said, let me
explain more why the timing of
> > this was so
mindblowing. I am assuming for a moment that it is
> > true that
a 'sub' note
> > (black key) now arrives. I 'feel' there will
> > more. Here are my
> > reasons....:
> 1- The crop circles are a program of learning.
> > As we 'get' the
> > diationic 'they/it/whatever' can
begin to add to it.
> > 2- The new geometry is
balls, lines and points
> > don't exist. It is akin
to spherepacking, but you must also assume the balls
> > are both
> > moving. The key 'shape' it only in the 'center'
> > movement. It must move
> > to keep center.
The key shape is balls around
> > balls, making a ball, a ball
> of 12 balls around one. Say you start with the size
> > of a
pea. 13 of these
> > can make another ball the size of a golf
> > of these can make another
> > ball the size
of a softball, and on and on in a
> > geometric (logrithmic)
> progression. If you examine any one of these groups
> > you
see seven 'rings'
> > of vibration. The seven rings are identical
> > angle, but not size (of
> > course) to the next jump of
balls, and THIS is the
> > 'octave'.
> 3- There is a subset of 12 planes. !!!!!!
> > Harder to see , but now come
> > the black keys.
> Perhaps some of you have the
> > issue of Nexus. Look on
> > page
49, An Introduction to Global Scaling Theory by
> > Dr. Harmut
> > First he starts out by saying that there was a time
> that math was leading
> > physics. And it seems that for the
> > math has just been a
> > stepchild of
physics. Except for some hints.... and
> > here (as he calls it
> > 'goldmine') is a biggie....;
> (quote from pg 49, Dr. Muller) "...The
> > indication of the existence
> > of this scientific
goldmine came from biology. As a
> > rresult of 12 years
> > research, Cislenko published his 'Structurer of
Fauna and Flora with Regard
> > to Body Size of Organisms' (Moscow
1980). He work
> > documents what is
> > probably the
most important biological discovery in
> > the 20th century.
> Cislenko was able to prove that segments of incresed
> > species
> > are repeated on the logrithmic line of body sized
> > equal intervals (aprox.
> > 0.5 units of the decadic
logarithm). The phenomenon
> > is not explicable from
> a biological point of view. Why should mature
individuals of amphibians,
> > reptiles, fish, birds and mammals of
> > species find it similarly
> > advantageous to
have a body size in the range of
> > 8-12 centimeters, 33-55
> centimeters or 1.5-2.4 meters?" (unquote, Dr.
> > Muller)
> Why indeed?
> > Unless the organisms are jumping
in maturity to
> > octave fullnesses.
> > Think again of the
pea, golf ball, softball?
> > Dee, and all that
worked on this new discovery,
> > and there seem to be
many involved. Wonderful, wonderful, wonderful,
wonderful. Thank you,
> > thank you, thank you.
> Michael Donovan, Camden, ME
> The New Geometry, www.midcoast.com/~michael1
> > ----- Original Message -----
> > From: "Dee Gragg"
To: <cbajis@...>; <exopolitics@...>;
> > <Mark@...>;
> <qala@...>; <rgarner@...>;
Sent: Wednesday, November 03, 2004 7:11 PM
> > Subject: Analysis of The
Miamisburg Formation; 3 Nov
> > 2004
> > > Hi All:
> > >
> > >
First, Thank you all for your comments and
> > > encouragement on
the previous two papers. You
> > were
> > > most kind
and I appreciate it.
> > >
> > > This
paper presents the analysis of the United
> > > States
Miamisburg Formation of 2004. It is a
> > sister
> formation to the Locust Grove Formation of 2003. I
> > >
believe you will find it important for at least
> > two
> > >
> > > (1) It
strengthens the existing relationship
> > > between crop circles and
> > >
> > > (2) It
gives the first nondiatonic ratio found
> > in
> > > the
formations. For the first time we have found
> > one
> of the black piano keys!
> > >
> I would be happy to have any of your comments
> and I
> > > will try to answer any questions.
> > > I hope to see many of you at the SIGNS
> > DESTINY
> > > 2004 in Tempe November 19-22.
Dr. Snow has put
> > > together another great program for
> > >
> > > Kindest Regards,
> > >