# About the ‘K’

**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).*

*Available as signed and numberd prints (from Metro Imaging)*