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α-wwwiki :: history/modulor/20130805-123408.txt

editor : alpha [82.249.167.200] 2013/08/05 12:34:08
_h1 modulor

_p Following the [[Modulor|http://ww3.ac-poitiers.fr/arts_p/b@lise14/pageshtm/page_7.htm]], what about usual dimensions based on simple "human" combinations of the feet, (≠30cm)  and the inch (≠2.5cm) ?

{center
{show {@ src="http://marty.alain.free.fr/risc/data/grains/echelles/modulor_1.jpg" height="150" width="400" title="Usual dimensions with Le Corbusier"}}
{show {@ src="http://marty.alain.free.fr/risc/data/grains/echelles/modulor_2.jpg" height="150" width="400" title="Série Rouge et Série Bleue from Le Corbusier"}}
{show {@ src="http://marty.alain.free.fr/risc/data/grains/echelles/modulo.jpg" height="150" width="400" title="Usual dimensions with the Imperial System ... and Alain Marty's 5%"}}
}

{pre {@ style="float:left;width:150px;margin:5px;"}
FIBONACCI

1:   2/1
3:   3/2
5:   5/3
8:   8/5
13:  13/8
21:  21/13
34:  34/21
55:  55/34
89:  89/55
144: 144/89
233: 233/144

SERIE ROUGE 
sur m = 1.13cm
* m Ø Ø Ø
* m Ø Ø
* m Ø
  m
/ m Ø
/ m Ø Ø
/ m Ø Ø Ø

SERIE BLEUE 
with M = 2.26cm
* M Ø Ø Ø
* M Ø Ø
* M Ø
  M
/ M Ø
/ M Ø Ø
/ M Ø Ø Ø

SERIE ROUGE 
with m = 27.5"
* m Ø Ø Ø
* m Ø Ø
* m Ø
  m
/ m Ø
/ m Ø Ø
/ m Ø Ø Ø

SERIE BLEUE 
with M = 55"
* M Ø Ø Ø
* M Ø Ø
* M Ø
  M
/ M Ø
/ M Ø Ø
/ M Ø Ø Ø

}

{pre {@ style="float:left;width:180px;;margin:5px;"}

{/ 2 1}
{/ 3 2}
{/ 5 3}
{/ 8 5}
{/ 13 8}
{/ 21 13}
{/ 34 21}
{/ 55 34}
{/ 89 55}
{/ 144 89}
{/ 233 144}

SERIE ROUGE

{* 1.13 1.618 1.618 1.618}
{* 1.13 1.618 1.618}
{* 1.13 1.618}
1.13 cm
{/ 1.13 1.618}
{/ 1.13 1.618 1.618}
{/ 1.13 1.618 1.618 1.618}

{* 2.26 1.618 1.618 1.618}
{* 2.26 1.618 1.618}
{* 2.26 1.618}
2.26 cm
{/ 2.26 1.618}
{/ 2.26 1.618 1.618}
{/ 2.26 1.618 1.618 1.618}

{* 27.5 1.618 1.618 1.618}
{* 27.5 1.618 1.618}
{* 27.5 1.618}
27.5 inches
{/ 27.5 1.618}
{/ 27.5 1.618 1.618}
{/ 27.5 1.618 1.618 1.618}

{* 55 1.618 1.618 1.618}
{* 55 1.618 1.618}
{* 55 1.618}
55 inches
{/ 55 1.618}
{/ 55 1.618 1.618}
{/ 55 1.618 1.618 1.618}

}

{pre {@ style="float:left;width:200px;;margin:5px;"}

with M = 30cm, m =2.5cm

≠ 4.775 = 16*M - 1*m [{- {* 16 0.30} {* 1 0.025}}]
≠ 2.950 = 10*M - 2*m [{- {* 10 0.30} {* 2 0.025}}]
≠ 1.825 =  6*M + 1*m [{+ {*  6 0.30} {* 1 0.025}}]
≠ 1.125 =  4*M - 3*m [{- {*  4 0.30} {* 3 0.025}}]
≠ 0.700 =  2*M + 4*m [{+ {*  2 0.30} {* 4 0.025}}]
≠ 0.425 =  1*M + 5*m [{+ {*  1 0.30} {* 5 0.025}}]
≠ 0.250 =  1*M - 2*m [{- {*  1 0.30} {* 2 0.025}}]

≠ 9.575 = 32*M - 1*m [{- {* 32 0.30} {* 1 0.025}}]
≠ 5.900 = 20*M - 4*m [{- {* 20 0.30} {* 4 0.025}}]
≠ 3.650 = 12*M + 2*m [{+ {* 12 0.30} {* 2 0.025}}]
≠ 2.250 =  7*M + 6*m [{+ {*  7 0.30} {* 6 0.025}}]
≠ 1.400 =  5*M - 4*m [{- {*  5 0.30} {* 4 0.025}}]
≠ 0.850 =  3*M - 2*m [{- {*  3 0.30} {* 2 0.025}}]
≠ 0.525 =  2*M - 3*m [{- {*  2 0.30} {* 3 0.025}}]

}

{div {@ style="clear:both;"}..}

_p More to see here : [[RISC/GRAINS|http://marty.alain.free.fr/risc/?view=grains]].