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 while problems that emerge when 1 is not a heathen insider of the traditions being studied are apparent talk still… twitter.com/i/web/status/8… 13 hours ago
 preta vandalism in Egypt @Rjrasva https://t.co/hLc0dePvdZ 13 hours ago
 I believe Augustos was defaced in several copies by the pretas: one more @Rjrasva https://t.co/4qlbmTaBLU 13 hours ago
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 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
 bhujākoṭikarṇanyāyaḥ koṭijyānyāyaś ca
 Some personal reflections on Carl Gauss, Bernhard Riemann and associated matters
 The two squares theorem
 Constructing a regular heptagon with hyperbola and parabola
 Infinite bisections required for trisection of an angle
 Sine rugs
 Doubling the cube with ellipses
 A superficial look at national population density and some life history features
 Some biological analogies for certain sociopolitical issues
 The magic of the devaogdoad
 Marching onward in the American spring but where to?
 The upper story in a few pictures
 Trigonometric tangles3: the fractals
 Euler’s squares
 Trigonometric tangles2
 Śarabha vidhi
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Tag Archives: chaos
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
Deliberations on richness and beauty: discovery of some multiparameter iterative maps
As we have explained in the earlier notes (1, 2, 3), the second major factor in our exploration of 2D strange attractors maps, IFS and other fractals was the aesthetic experience they produced. Around that time we came across a … Continue reading
Posted in art, Scientific ramblings
Tagged chaos, fractal, fractals, Generative Art, geometry, mathematics
Some reminiscences of our study of chaotic maps2
Continued from part1 The second two dimensional map we studied in our early days was that of Lozi: where and are constants. It becomes immediately evident that this map is conceptually similar to the Henon map, using the absolute value … Continue reading
Posted in art, Life, Scientific ramblings
Tagged attractors, chaos, fractal, fractals, geometry, Gingerbread Man, Henon, logistic map, Lozi, mathematics, strange attractors, tent map
Some reminiscences of our study of chaotic maps1
Starting in our teens, we began our exploration of chaotic (strange) attractors emerging from simple iterative maps, numerical solution of ordinary differential equations and other fractals inspired by the work of Benoit Mandelbrot. It led us in two directions. First, … Continue reading
Posted in art, Scientific ramblings
Tagged art, attractors, beauty, chaos, fractal, fractals, Geometric construction, geometry, Henon map, iterative systems, mathematics, recreational geometry
Some lessons we learned from 3color totalistic cellular automata
Cellular automata (CA) have attracted people’s attention to different degrees over the past several decades since the early work of pioneers like Ulam and von Neumann. Remarkably von Neumann played with his earliest versions of CA using a graph paper … Continue reading
Posted in art, History, Scientific ramblings
Tagged biological patterns, cellular automata, chaos, fractal, fractals, historical patterns, morphological patterns
Chaos in the iterative Hindu square root method of the gaṇakarāja
For Hindus big numbers always mattered and our mathematics is quite reflection of this fascination. Since the earliest times, Hindus devised various methods to obtain square roots of numbers, especially approximations of irrational roots correct to multiple decimal places. The … Continue reading
Posted in Heathen thought, Scientific ramblings
Tagged Bakshali, Chajjaka, chaos, fractal, fractals, geometry, Hindu mathematics, hyperbola, NewtonRaphson, quartic functions, recreational geometry, square root
Leaves from the scrapbook
There were extensive memoirs in the form of electronic scrapbooks of Somakhya, Lootika and some members of their circle. Those in the know read the available excerpts due to matters of considerable interest being recorded in them. Other parts were … Continue reading
Posted in art, Life
Tagged chaos, Geometric construction, geometry, ghost, ghosts, LotkaVolterra, population dynamics, Story, triangles, trigonometry, trisection