
Pages
Categories
Search this Blog
Archives
mAnasataraMgiNI supplement
 This study looked at Gini coefficients of house sizes (a measure of inequality in the distribution) at archaeologic… twitter.com/i/web/status/9… 7 hours 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… 13 hours ago
 RT @Rjrasva: Altai Kai (Turkic Throat Singing) youtube.com/watch?v=sYUTPH… 13 hours 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… 1 day ago
Top Posts

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
Meta
Category Archives: Scientific ramblings
Pattern formation in coupled map lattices with the circle map, tanh map, and Chebyshev map
The coupled map lattices (CMLs), first defined by Kunihiko Kaneko around the same time Wolfram was beginning to explore cellular automata, combine features of cellular automata with chaotic maps. The simplest CMLs are defined on a one dimensional lattice with … Continue reading
Posted in Scientific ramblings
Tagged cellular automata, chaos, CML, coupled map lattice, dynamics, evolution, oscillators
Some novel observations concerning quadratic roots and fractal sequences
Disclaimer: To our knowledge we have not found the material presented here laid out here presented in completeness elsewhere. However, we should state that we do not follow the mathematical literature as a professional and could have missed stuff. Introduction … Continue reading
Posted in Scientific ramblings
Tagged floor, fractal, fractals, integers, quadratic equation, quadratic root, sequence, square root
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
Triangles, Hexes and Cubes
One philosophical question which we have often ponder about is: Are numbers “real”? One way to approach this question is via figurate numbers, where numbers directly manifest as very tangible geometry. This idea has deep roots in our tradition: as … Continue reading
Posted in art, Heathen thought, History, Scientific ramblings
Tagged AryabhaTa, Euler, figurate numbers, Gauss, Geometric construction, geometry, hex, Hindu mathematics, nIlakaNTha somayAjin, recreational geometry, sequence, series sum, square, sum, triangular
A note on tales of fratricide, warfare, cannibalism and incest
The Osman conqueror of Constantinople, MehmetII, bothered by the civil wars his predecessors had to fight to take the throne, institutionalized the system of fratricide. In this system, the rival brothers of the sultan, who took the throne, were all … Continue reading
Posted in History, Scientific ramblings
Tagged ants, biological warfare, biology, combat, developmental biology, evolution, fratricide, hymenopterans, males, sexratio, wasps
The SatijaKetoja system
Satija and Ketoja discovered an interesting dynamical system in course of the study of the Schrödinger equation for one electron in a two dimensional periodic lattice on a uniform magnetic ﬁeld. While this equation and its variants have several uses … Continue reading
Posted in art, Scientific ramblings
Tagged attractors, Cauchy distribution, Cauchy flights, Central Limit Theorem, chaos, fractal, fractals, geometry, Ketoja, mathematics, physics, Satija