This project is concerned with the application of bioengineering. Located deep within this new field is the number system commonly known as ‘The Fibonacci Sequence’.
An exploration of the relationship between art and science.
Through repetition / colour and form, i am fusing the possibilities and have these set of rules lead me down a random and spontaneous path.
The use of natural forms is merely a creative starting point (ongoing), that even Alan Turing had explored until his untimely death. Are these numbers implicit in our man made arrangement of the world?
These (rules) can be applied (even combined with other number systems) to create works that (kind of) create themselves. It can be applied with form / colour / texture. We can even break out and deliberately go against the (rules) and come back to apply them again. This will give randomness to work that includes computer coding (I am a fully qualified programmer!). We, at some point must break the rules, to challenge them to garner interest / intrigue in an area not known for its creative prowess.
Many people have slavishly applied these mathematical principles thinking that is the route to some sort of enlightenment without knowing that you can move between these worlds / rules and create a narrative all your own.
This I do. I move between around and above.
I am in control (to a certain extent) not the artwork.
This will reveal new work (otherwise you end up with same work time after time – like a photocopier). This gives it a sense of ‘controlled chaos’ (brownian motion).
This is a film based on Biocensis (Kaloseidos derivative)
A film based on ‘Kaloseidos’
Music by Erik Satie
(Sonnenies De La Rose + Croix Lent et Detache, Air De L’Ordre (Air of the Order)
Interpretation by : Reinbert de Leeuw
One classic work in this area is Alan Turing’s paper on morphogenesis entitled The Chemical Basis of Morphogenesis, published in 1952 in the Philosophical Transactions of the Royal Society.
• Travelling waves in a wound-healing assay
• Swarming behaviour
• A mechano-chemical theory of morphogenesis
• Biological pattern formation
• Spatial distribution modeing using plot samples
The earlier stages of mathematical biology were dominated by mathematical biophysics, described as the application of mathematics in biophysics, often involving specific physical/mathematical models of bio-systems and their components or compartments.
The following is a list of mathematical descriptions and their assumptions.
Deterministic processes (dynamical systems)
A fixed mapping between an initial state and a final state. Starting from an initial condition and moving forward in time, a deterministic process will always generate the same trajectory and no two trajectories cross in state space.
• Difference equations/Maps – discrete time, continuous state space.
• Ordinary differential equations – continuous time, continuous state space, no spatial derivatives.
See also: Numerical ordinary differential equations.
• Partial differential equations – continuous time, continuous state space, spatial derivatives.
See also: Numerical partial differential equations.
Stochastic processes (random dynamical systems)
A random mapping between an initial state and a final state, making the state of the system a random variable with a corresponding probability distribution.
• Non-Markovian processes – generalised master equation – continuous time with memory of past events, discrete state space, waiting times of events (or transitions between states) discretely occur and have a generalised probability distribution.
• Jump Markov process – master equation – continuous time with no memory of past events, discrete state space, waiting times between events discretely occur and are exponentially distributed. See also: Monte Carlo method for numerical simulation methods, specifically dynamic Monte Carlo method and Gillespie algorithm.
• Continuous Markov process – stochastic differential equations or a Fokker-Planck equation – continuous time, continuous state space, events occur continuously according to a random Wiener process.
Exhibited in various galleries from 2009-14
London (Illumini 2010, Shoreditch Town Hall), Liverpool (Orchard Restaurent 2011 and as part of my one man exhibition at The Williamson Art Gallery in 2013).