# Art and Design – in Proportion

Designers are attracted to proportional systems with fixed ratios that offer harmonic ‘certainty’.  The usual choices are very limited – the Fibonacci series, the square root of two (circle and square relationship) and the Golden Mean. There are however other geometric generators that create fixed ratios, albeit on a closed or finite progression. One of these is illustrated below.

The geometry sets the following constraints:

–  Circle B repeats six times at regular intervals around circle A, forming a hexagon.

–  Circles B and C are located tangentially to circle A and each other, determining their relative diameters.

Based on the above the ratios can be calculated as follows:

An interesting feature of this geometry is the complexity of the relative ratios, both in terms of one radius to another and as a progression of radii from the smallest (C) to the largest (A), which can be expressed as 1 : 1.732 : 3.732.

Proportional systems are only useful to the designer when they offer creative parameters to the design process rather than rigid constraints. If the ‘rules’ are too prescriptive the result is a vapid ‘design by numbers’.  For this particular system the designer could simply adopt the relative ratios of the three circles as a proportional determinant, or also make use of the underlying hexagonal geometry. The examples below use both proportion and location, but with the use of squares located within three circles as a design variant:

This simple pattern can be elaborated by including squares outside as well as within the circles:

This variant on the initial geometry doubles the range of potential proportional relationships: The diagram below shows the relative ratios of the three squares within the circles (left), outside of the circles (middle) and combined (right):

The interlacing of one geometry with another system (the circle-square relationship in the above example) provides dynamism to an otherwise static progression of ratios, and underlies much of CODA Projects’ concept generation. Whether it results in truly harmonic forms is debatable, but this approach does succeed in liberating the designer from the banality of the Cartesian grid which by definition is additive rather than harmonic.

# Refashioning New Art from Old (2)

Unlike the small maquette used in the first ‘refashioning’ exercise, this sculpture (dating from 1977) is a relatively weak piece of work that failed to achieve its lofty aim – to portray a Renaissance-style madonna.

Despite its oddly masculine features and crude execution the figure does nevertheless evoke a sense of suffering that I have tried to emphasize in the new piece of work, below:

# Refashioning New Art from Old (1)

A sculptural figure that I produced in 1978 prompted this brief exploration into the creation of “new” art from an earlier work.

The small wooden maquette (with a head just one inch high) is crudely carved but has a surprisingly powerful presence. I cannot remember what inspired the idea, or how it was produced. This is probably an advantage when re-fashoning existing work as the new piece can be unfettered  from any earlier objectives or agendas.

The original figure (above) and examples of the new artwork: