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Posted by Kris Krieger on February 21, 2008, 6:44 pm
@verizon.net:
> FoggyTown wrote:
>
> [...]
>
>> What I need to know is the correct (most appropriate/most common)
>> distance between columns based on their width. Is there an equation I
>> can use, i.e. if the column is X cm wide then the on center distance
>> between columns will be Y cm. The columns will probably be about 10
>> cm to 12 cm wide. I understand there may not be any hard and fast
>> ratios applicable.
>>
>
>
>
> The Parthenon and almost every Greek temple of that period was designed
> using hundreds of well defined ratios. The ratios in complex geometric
> relationships governed the spacings of every possible feature of the
> designs.
>
> To find the proportions of the Parthenon and other structures conduct an
> Internet search with the keywords,
> [ Parthenon +proportions ].
>
> There is a tremendous amount of information on the matter in printed
> books; and probably more than there is on the Internet. The proportional
> systems are lightly gone over by most students of the architecture. You
> would have to consult the books on the buildings by the historians of
> geometry and architecture to get the finer points.
>
> On the Internet there are some possibilities:
>
> http://www.ancient-greece.org/architecture/parthenon.html
>
> http://www.ancient-greece.org/architecture/parthenon2.html
>
> http://www.radzjukevich.narod.ru/
>
> http://www.radzjukevich.narod.ru/plates.html
Actually, assuming that the illustrations are done to-scale, I was looking
at Plate 1 and saw that a proportion could be figured out, as least
accurately enough for most purposes (such as for the OP's mention of doing
a box) byt measuring the circels, and the spaces between them. It'd be
easier if printed out, so I haven't done the aritmetic, but it reminds me
of what i'd done some yar back when fooling around with doing a 3D image of
a "pseudo-Parthenon) for a game project that was in the works at the time.
Anyway, nice source, thanks for the URLs :)
>
> The measurement and proportional systems used by the architects, Iktinos
> and Kallikrates, were based upon the elaborate Pythagorean system of
> geometry. Their temples were based upon many types of mathematical
> principles that had been discovered in geometry. The inter-relationships
> of mathematical ratios are intricate and complicated.
>
> You asked about the proportions of the columns. You can get the
> measurements from books, however, one obscure fact concerns the shape of
> the columns. The shape is an ellipsoid of rotation with the top and base
> made flat. With the diameters of the narrower top, widest, and bottom
> you could construct the shapes. Check the heights for those were in a
> specific ratio to the column centerline spacings.
>
> Forget Roman buildings. They didn't use the Ancient Greek system of
> ratios and proportions.
>
>
> Ralph Hertle
>
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