View source for Corbusier's Modulor

The French Architect, [https://en.wikipedia.org/wiki/Le_Corbusier '''Le Corbusier'''] devised in the mid-20th century, a system of proportions and measurements he called the [https://en.wikipedia.org/wiki/Modulor '''Modulor'''].


[[File:CorbusiersModulor.png|400px|right]]
The [https://en.wikipedia.org/wiki/Modulor '''Modulor'''] divides the height of the average man in '''[[Golden Section|Golden Ratio]]''' proportions to produce a scale of measurements as shown. Taking the initial average used of 1829mm the first division would make the longer of the two parts 1130mm and this corresponds to the height of the navel. It is interesting to note that [https://en.wikipedia.org/wiki/Leonardo_da_Vinci '''Leonardo da Vinci'''] also used the human navel, as the centre of his circle, when he constructed the '''[[Vitruvian Man]]''' as part of his work to devise a scale of measurements based on human proportions.


[https://en.wikipedia.org/wiki/Le_Corbusier '''Le Corbusier'''] continued to divide and sub-divide to produce two scales: one with a standing figure ''(Column A)'' and one standing with an arm extended upwards ''(Column B)''. The two columns are '''[[Fibonacci Series]]''' and each value on the scale is the sum of the two values preceding it.


Proportions based on the '''[[Golden Section|Golden Ratio]]''' are visually pleasing and so adding human dimensions produces a system with which we design products, furniture and even buildings, which not only look harmonious but also fit the human frame's '''[[Anthropometrics]]'''. The  result is furniture which is a comfortable height for sitting or eating at for example.
  

[[File:ModulorGrid.png|400px|right]]
A matrix can be constructed using all the measurements of the [https://en.wikipedia.org/wiki/Modulor '''Modulor'''] to create a series of rectangles. Different rectangles taken from it are easily fitted together and/or easily sub-divided into a number of smaller panels. This is because, being a '''[[Fibonacci Series]]''', each measurement on the scale is the sum of the two before it. A similar matrix can be created using '''[[Fibonacci Series|Fibonacci Numbers]]''' as shown.


Such grids are very useful when shapes have to be sub-divided to design storage units or position windows in buildings for example. 

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