There is a remarkable discussion of shape vs. form in the book THE
DISINTEGRATION OF FORM IN THE ARTS by Erich Kahler (1885-1970).
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Erich Kahler was a close friend of Einstein and Thomas Mann.  Kahler
even
gave Einstein the money to buy a house in Princeton.

Kahler's principal works are:

MAN THE MEASURE, called "the best history of the rise of man and of
humanity
I know", by anthropologist Ashley Montagu.

THE TOWER AND THE ABYSS

THE MEANING OF HISTORY

THE JEWS AMONG THE NATIONS

THE GERMANS

THE INWARD TURN OF NARRATIVE

David Herman
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[EMAIL PROTECTED] wrote:

> Dear Morphometricians,
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>
> I have difficulty defining the concepts "form" and "shape". Following
> the review posted at the SUNY Stony Brook webpage by Adams, Rohlf and
> Slice, matrices containing average distances between pairs of
landmarks
> for each sample being compared are form matrices because they include
> both size and shape information.
>
> On the other hand, if one subtracts the means from a matrix of
> log-transformed variables (i.g. if one subtracts the isometric
> component), could be named the residual matrix a form matrix because
it
> have both size and shape information (allometry)? In multivariate
> analyses as CPCA or mgPCA, size effects could be sequestered in one
> variable (first PC) rendering matrices free of allometric effects as
can
> be verified indirectly by linear regression. In this case, how I could
> name those matrices?
>
> It is not easy for me to understand the concept of shape free of
> allometry. Is it defined only for need (or convenience) in the
> multivariate statistics, or actually can it be found in biological
> structures?
>
> Please excuse me my poorly defined grammatical structure of English.
>
> Thanks in advance,
>
> Nicol�s
>
> Nicol�s Jaramillo O. M.S., Ph.D.
> Professor, Instituto de Biolog�a, Universidad de Antioquia
> A.A. 1226, Medell�n, Colombia
> Phone: (+57 4) 210 5626, Fax: (+57 4) 233 01 20
> E-mail: [EMAIL PROTECTED]; [EMAIL PROTECTED]
>
> ==
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> For more information see
http://life.bio.sunysb.edu/morph/morphmet.html.

==
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