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mAnasataraMgiNI supplement
 khaDAhAthbAbAjI; daNDAvAlabAbAjI; khaDAdaNDAbAbAjI; vAsudevkuTuMbakbAbAjI; svayaMkarkIbAbAjI; hAthIpairvAl… twitter.com/i/web/status/9… 3 days ago
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 RT @EPButler: Birth of Athena https://t.co/1sgMvpvVLw 3 days ago
 reading this article with a discerning will reveal certain deep problems with the marAThAs (the last H empire). I'… twitter.com/i/web/status/9… 4 days ago
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Top Posts

Recent Posts
 Some novel observations concerning quadratic roots and fractal sequences
 Of lives of men; of times of menII
 Of lives of men; of times of menI
 The incredible beauty of certain Hamiltonian mappings
 Triangles, Hexes and Cubes
 The story of the Orissan cyclevālā
 Godhūmo vijayate
 A note on tales of fratricide, warfare, cannibalism and incest
 The SatijaKetoja system
 Some simple maps specifying strange attractors
 A rambling talk on the śaiva mantra tradition
 Citrabhānu’s cubes
 Make your own sky map
 A note on Cepheid variables: reproducing the study of the periodluminosity laws
 The apparition of the Scottish surgeon
 The Meru and Nārāyaṇa’s cows: Words and fractals
 Hofstadter and Nārāyaṇa: connections across space and time
 Wisdom from a tag system
 A note on the cow, the horse and the chariot in the Ṛgveda
 Median and pedal triangles and derived fractals: an introductory account
 Mongolica: Chingiz Khan and the rest
 Braided power: a brief note on the last great steppe power: the MongolManchu system
 Means and conics
 The Rāmāyaṇa and a paraRāmāyaṇa in numbersII: Evolving early IndoAryan warfare
 The square root spiral and the Gamma function: entwined analogies
 Leaves from the scrapbook2
 A note on the asterisms forming the nakṣatras
 Journeying through the fractal slopes of mount Meru with twoseeded recursive sequences
 Some pictures relating to incidence of tuberculosis and AIDS
 Cobwebs on the golden hyperbola and parabola
Meta
Tag Archives: recursion
The incredible beauty of certain Hamiltonian mappings
In our teens we studied Hamiltonian functions a little bit as part of our attempt to understand classical and quantum physics. A byproduct of it was a superficial interest in the geometry of some of the mappings arising from such … Continue reading
Posted in art, Scientific ramblings
Tagged fractal, fractals, geometry, Hamiltonian, mathematical entity, mathematics, Oscillator, physics, recreational geometry, recursion
The Meru and Nārāyaṇa’s cows: Words and fractals
The fractals described herein are based on and inspired by the work of the mathematicians Rauzy, MendesFrance, Monnerot and Knuth. Some their works, especially the first of them, are dense with formalism. Here we present in simple terms the means … Continue reading
Posted in art, Scientific ramblings
Tagged complex numbers, fractal, fractals, geometry, Golden Ratio, mathematics, Narayana cow sequence, recreational geometry, recursion
Hofstadter and Nārāyaṇa: connections across space and time
The scientistphilosopher Douglas Hofstadter presents an interesting singleseeded sequence H in his book ‘Gödel, Escher, Bach: An Eternal Golden Braid’. It is generated by the recurrence relation, where …(1) Working it out one can see that it takes the form: … Continue reading
Posted in art, Scientific ramblings
Tagged conic sections, conics, fractal, fractals, Geometric construction, geometry, Golden Ratio, Hofstader, mathematics, recreational geometry, recursion, sequence
The square root spiral and the Gamma function: entwined analogies
The topic discussed here is something on which considerable serious mathematical literature has published by P.J Davis, W. Gautschi and others. This partly historical narration is just a personal account of our journey through the same as a nonmathematician. As … Continue reading
Posted in art, Scientific ramblings
Tagged Descartes, Gamma function, Gauss, geometry, Hindu mathematics, mathematical entity, mathematics, recreational geometry, recursion, spiral, square root
Journeying through the fractal slopes of mount Meru with twoseeded recursive sequences
The Hindus have been fascinated by sequences and series from the beginning of their civilizational memory recorded in the Veda. This continues down to the medieval mathematician Nārāyaṇa paṇḍita, who discovered a general formula (sāmāsika paṅkti) that can be to obtain the … Continue reading
Posted in art, Scientific ramblings
Tagged fractal, fractals, Golden Ratio, Hofstadter, mathematics, recreational geometry, recursion
Trigonometric tangles3: the fractals
See also: https://manasataramgini.wordpress.com/2016/05/06/theastroidthedeltoidandthefishwithinthefish/ This exploration began in days of youth shortly after we learned about complex numbers. It culminated only much later in adulthood when we discovered for ourselves a class of fractal curves related to a celebrated curve discovered … Continue reading
Posted in art, Scientific ramblings
Tagged complex numbers, curves, epicycloid, fractal, fractals, geometry, hypocycloid, mathematical entity, mathematics, recreational geometry, recursion, Riemann, trigonometry, Weierstrass
Some elementary lessons from iterative fractal maps
The famous Sierpinski gasket was one of the first fractals we wrote code for when we got access to a computer. It impressed us enormously that an intricate object with selfsimilarity over all scales could be generated by a rather … Continue reading
Posted in art, Life, Scientific ramblings
Tagged biology, developmental biology, evodevo, evolution, fractal, fractals, geometry, mathematics, recreational geometry, recursion, science, temple