new opportunity // new direction
On Monday evening I had a quick skype chat with Samuel Sagan (my main teacher from Clairvision Meditation School - Clairvision.org) and he asked me if I
would like to do my thesis project as a giving for the school and
research the top 10-20 Hindu yantras.. to find the perfect
mathematical proportions of them.. to reflect on the source of this
sacred geometry and then to recreate them. He said it would be good
for my process and helpful for the school as many people could use
them. WOW.
You are the first person I am sharing about it with... as I am a
little stunned.. with gratitude and excitement. My aspirations were
answered. He asked me to think about it and get back to him.. as this
is a serious commitment and he does not have much spare to time to
only go halfway with such a project. I can feel how much supermind is
involved to deeply understand, calculate and create (digital) images..
and it is so much more than that! A BIG step away from the etheric
pleasures of the nectar, birds and bees.
I will do it, of course. I just now have to re-arrange things inside
and organize my school projects around my research and explorations.
This was what I was hoping for at the beginning of the summer before I
went to lynnskill... remember our vision space about mandalas... well
now I have the opportunity to dive deep deep deep with my favorite
teacher alive :o)
I already found this site .. I googled mathematics of the sri yantra
.. holy smokes :o)
http://alumni.cse.ucsc.edu/~
The mathematical interest in the sriyantra lies in the construction of
the central nine triangles, which is a more difficult problem than
might first appear. A line here may have three, four, five or six
intersections with other lines. The problem is to construct a
sriyantra in which all the intersections are correct and the
vertices's of the largest triangles fall on the circumference of the
enclosing circle. We shall not go into the details of how the Indians
may have achieved accurate constructions of increasingly complex
versions of the sriyantra, including spherical ones with spherical
triangles. Bolton and Macleod (1977) offer a simple overview of the
subject; Kulaichev (1984) goes into the 'higher' mathematics implicit
in constructing different types of sriyantra.
There is, however, a curious fact about all the correctly constructed
sriyantras, whether enclosed in circles or in squares. In all such
cases the base angle of the largest triangles is about 51°. The
monument that comes to mind when this angle is mentioned is the Great
Pyramid at Gizeh in Egypt, built around 2600 bc. It is without doubt
the most massive building ever to have been erected, having at least
twice the volume and thirty times the mass of the Empire State
Building in New York, and built from individual stones weighing up to
70 tonnes each. The slope of the face to the base (or the angle of
inclination) of the Great Pyramid is 51°50'35.
...
Many of the accurate constructions of sriyantras in India are very
old. Some are even more complicated than the one shown. There are
those that consist of spherical triangles for which the constructor,
to achlieve perfect intersections and vertices falling on the
circumference of the circle enclosing the triangles, would require
knowledge of 'higher mathematics whidh the medieval and ancient Indian
mathematicians did not possess' (Kulaichev, 1984, p. 292). Kulaidhev
goes on to suggest that the achievement of such geometrical constructs
in Indian mathematics may indicate 'the existence of unknown cultural
and historical altenatives to mathematical knowledge, e.g. the highly
developed tradition of special imagination'.
| and this site too......................................................... |
http://www.sriyantraresearch.com/
Bibliography
Papers:
- Gérard
Huet. Sri Yantra Geometry. Theoretical Computer Science 281 (2002)
pp. 609--628
How model the Sri Yantra using a set of equations.
- C.S. Rao
- SriYantra: A study of spherical and plane forms (1998)
Comprehensive study of the Sri Yantra and it's many variations (flat, pyramidal, and spherical)
- Alexey
Kulaichev - Sriyantra: The ancient instrument to control the psycho physiological
state of man (1987)
Study of the effects on the mind when staring at the Sri Yantra
- Alexey
Kulaichev - Sriyantra and its mathematical properties (1984)
Good paper on the geometry of the Sri Yantra. - Alexey
Kulaichev - Addition
Various methods for drawing the Sri Yantra.
- Patrick
Flanagan - How to draw a Sri Yantra
A very precise method to draw the Sri Yantra. - Bill
Witherspoon - Art as Technology
Great paper on the observed effects of the Sri Yantra on the environment, animals, and people. - Marcus
Schmieke - The most powerful Vastu tools to balance spatial energies.
Yantras as a means of correction to balance the spatial energy in a house.
Books:
- Madhu Khanna - Yantra: The
tantric symbol of cosmic unity.
Nice pictures of old Sri Yantras, some of them can be found in the picture galleries. - Philip Rawson - The Art of Tantra.
Nice pictures of old Sri Yantras, some of them can be found in the picture galleries. - Dan A. Davidson - Shape Power
A treatise on how form converts Universal aether into electromagnetic and gravitic forces. - Howard Beckman- Mantras, Yantras & Fabulous Gems
- T.A. Gopinatha Rao - Elements of
Hindu Iconography. Vol. I - part II, second edition 1971.
Picture and drawings of a Sri Yantra from the Sringeri Temple. - Dr. P.H. Pott - Yoga and Yantra
The Hague, Nijhoff, 1966. Translated from the origninal published in 1946. - György Doczi - The Power of
Limits
Proportional harmonies in nature, art, and architecture. Excellent book on the Golden ratio. - Patrick Flanagan - Pyramid Power: The Millenium Science
- Peter Pearce - Structure in Nature Is a Strategy for Design
This fully-illustrated investigation of the polygon as the basic building block of nature proposes that when it is adapted to environmental structure this form will result in configurations that are naturally space and energy efficient.
Comments