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 RT @macranthrope: @blog_supplement I think the later Pratihara Yama image also holds the bird in his hand. Anyway it's good to see the earl… 5 hours ago
 This study looked at Gini coefficients of house sizes (a measure of inequality in the distribution) at archaeologic… twitter.com/i/web/status/9… 1 day ago
 What was the iconography of yima kShaeta the cognate of yama rAjan of the Aryas? This coin, now apparently lost sh… twitter.com/i/web/status/9… 1 day ago
 RT @Rjrasva: Altai Kai (Turkic Throat Singing) youtube.com/watch?v=sYUTPH… 1 day ago
 If my survey is right huviShka is the kuShana with the most coins featuring kumAra. Here he is seen seated holding… twitter.com/i/web/status/9… 2 days ago
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Recent Posts
 Of lives of men; of times of menIII
 Pattern formation in coupled map lattices with the circle map, tanh map, and Chebyshev map
 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
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Tag Archives: mathematical entity
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 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
Cobwebs on the golden hyperbola and parabola
The material presented here is rather trivial to those who have spent even a small time looking at chaotic systems. Nevertheless, we found it instructive when we first discovered it for ourselves while studying conics. Hence, as part of recording … Continue reading
Posted in Scientific ramblings
Tagged chaos, fractal, Geometric construction, geometry, hyperbola, mathematical entity, mathematics, parabola, recreational geometry
The magic of the devaogdoad
Classical Hindu tradition holds that the ogdoad of devas corresponding to their directions is: Indra: East; Agni: Southeast; Yama: South; Nirṛti: Southwest; Varuṇa: West; Vāyu: Northwest; Kubera: North; Īśāna: Northeast. The central position might be occupied in certain traditions by … Continue reading
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
Trigonometric tangles
Let us define a define the trigonometric tangle as the following parametric function: where can be a rational number or an irrational number. and are any real number. If is a rational number and then we get a tangle petals … Continue reading
Posted in art, Scientific ramblings
Tagged curves, geometry, irrational numbers, mathematical entity, mathematics, recreational geometry, trigonometry
Syllable, number and rules in the ideal realm
This note is neither meant to be complete exposition of this matter nor a complete view of all what we have realized in this regard. Nor can it be completely understood by those who are not insiders of the tradition. … Continue reading
Posted in Heathen thought, Life, Scientific ramblings
Tagged art, biology, curlicue, fractal, fractals, geometry, Hindu, mathematical entity, mathematics, pi, Plato, Platonic ideals, proteins, religion, science