Kandariya Mahadev Temple [Madhya Pradesh] (source unknown)
The self-similar, cascading architectural forms found in Hindu temple architecture appear to have been pieced together by a hyper-industrious Minecrafter hooked on Hofstadter. Jagged waves of blocky ornamentation, rhythmically repeating, create diminishing echo’s of the temple’s form; tiny versions of itself repeating towards a proposed infinity. Baroque three-dimensional Cellular Automata. Cantor Set masonry. Malevich’s Architectons upscaled and iterated to the nth degree, often smothered with a teeming mass of deities and denizens, each one competing for your retina.
Kandariya Mahadev Temple [Madhya Pradesh] – RM Nunes
It’s not just that these temples appear to be algorithmically generated, the ancient Vastu Sustra texts provide procedural rules or recipes for their design, layout and build (including the positions of ornaments). The texts transmit recursive programs, by verbal instruction, to masons so that according to Kirti Trivedi, the Hindu Temple becomes a model of a fractal Universe. A model which represents ‘views of the cosmos to be holonomic and self-similar in nature’. The idea of fractal cosmology is no stranger to western academia. In 1987 the Italian physicist Luciano Pietronero argued, in his paper, that the Universe shows ‘a definite fractal aspect over a fairly wide range of scale’ based on correlations of galaxies and clusters, their spatial distribution and average mass density.
‘According to Hindu philosophy the cosmos can be visualised to be contained in a microscopic capsule, with the help of the concept of subtle element called ‘tammatras’. The whole cosmic principle replicates itself again and again in ever smaller scales’ – Kirti Trivedi
Yellamma Temple [Karnataka] – Paul Prudence
Architecton Series – Kazimir Malevich [1923]
Temple Plan for Barwasagar Temple [Uttar Pradesh] from Geometry Measure in India Temple Plans
The initial temple plan is based on a grid form known as the Vastu-Purusha Mandala. Tellingly Trivedi remarks in his paper that the Vastu-Purusha Mandala is ‘not a blueprint for a temple, but a ‘forecast’, a marking of the potential within which a wide range of possibilities are implied’. The significance here, should not be underestimated. A ‘potential for possibilities’ within a predefined rule-set predisposes architecture to be governed by a degree of emergence. While emergence in parametric architecture arrived, recently, with computers and algorithms, India has been enacting emergent masonry for thousands of years thanks to the open rules of the Vastus Sustra.
Shweta Varahaswamy Temple [Karnataka] – Paul Prudence
Using a system of measurement called the ‘Tala’, dimensional relationships of proportions rather than exact structural specifications are defined. Initial decisions (why not call them algorithmic seeds?) combined with rule sets are used to define the final outcome of the building. The ‘Tala’ system is scale invariant, just like fractal mathematics, so that a building of any size can be created, and decorated without compromising the model of self containment. The temple, as a whole, is built by interweaving fractalization processes with repetition and superimposition. An example of a typical recursive instruction, verbalised, is:
The layer of prahara (projection) will be above the chadya (eave of the roof). This is to be repeated again and again on the spire over the spire. A fraction of the prahara is to be constructed and again the spires are to be constructed. Each of the upper spires will be sprouted out with a measurement equal to half the size of the lower spire – Ksirarnava, 7.113
Sri Meenakshi Amman Temple [Tamil Nadu] – Paul Prudence
The Kandariya Mahadev, in Madhya Pradesh, is one of the best examples of recursive temple architecture in India. The rising towers (Shikhara) of this structure are said to mimic the forms of mountains which are themselves self-similar. Shikhara literally translates to the word mountain.
Inspiration by way of a recent trip (one of many) to Karatanka, Tamil Nadu and Kerala.
Further Reading:
The Hindu Temple is a Model of a Fractal Universe – Kirti Trivedi [1993]
Infinite Sequences in The Constructive Geometry of 10th Century Hindu Temple Superstructures – Sambit Datta [2010]
Related Posts:
Stanley Tigerman & G. T. Crabtree – The Formal Generators of Structure
Breed – Driessens & Verstappen: Evolutional Diffusion Lattices
Yuri Avvakumov – Agitarch Structures: Reconfiguring Utopia
No. 1 — June 12th, 2015 at 6:18 pm
Hi Paul, someone sent me a link to your feature on botanical wall charts as I had recently been featuring them in a lecture. I am currently in discussion with a botanical institute in Pittsburgh who rescued a collection including some by Kny from a skip. We are hoping to do an exhibition featuring the charts alongside some of my images in 2017. I will let you know if it comes off.
Great site you you have and beautiful movies. If you are ever passing through London maybe I could tempt you in to give a talk at Central Saint Martins where I am currently chair of Arts, Design & Science.
No. 2 — June 15th, 2015 at 5:18 pm
[…] Data is Nature: ‘You Really Do Not See a Plant Until You Draw it’ – Botanical Wall Charts at the Academic Heri… […]
No. 3 — June 15th, 2015 at 9:20 pm
Rob, I would certainly be interested in the show you mention that may happen in 2017. Thanks for the comment and keep me posted.
No. 4 — May 20th, 2016 at 8:02 pm
Brilliant architecture of plants.
No. 5 — October 7th, 2017 at 6:29 pm
These are exquisite!
No. 6 — December 17th, 2017 at 5:09 am
Paul, Even with spotty comprehension of what the charts represent, they give evidence of: an ascetic devotion to high and protracted concentration; an appreciation of the marriage of truth and beauty; a surrender to the doing, to the flow. Thanks for sharing.