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mAnasataraMgiNI supplement
 What function would describe such spiral waves? Use either f(r,t)> polar coordinates or complex numbers. https://t.co/JPbkKh6XeT 6 days ago
 The puram lying at the dawn of the tamiL tradition has a certain vigor akin to the dawn of the saMskR^ita tradition… twitter.com/i/web/status/1… 1 week ago
 Sehwag and Gambhir seem to be good outside of cricket but I was always doubtful of that famous guy from Maharashtra. 1 week ago
 The stench of coagulated animal proteins belongs to the dissection table and not the dining platter. 1 week ago
 These ideas of the chAchA were sadly widely imbibed across India and stemmed from a common educational source that… twitter.com/i/web/status/1… 1 week ago
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 The Platonic culmination of Euclid and the pentagonhexagondecagon identity
 Leaves from the scrapbook4
 From Plato to Euler and back
 Śivagaṇas and Andhakāsuravadha in the Vāmanapurāṇa
 Packing constants for polygonal fractal maps
 Cows, horses, sheep and goats
 Fraudulent science by Indians: some really bad news
 Leaves from the scrapbook3
 Mongolica: The Tangut empire
 Notes on the Bhadrasūkta, a hymn for felicity to the Vedic pantheon
 Liṅgakāmādisūtrāṇi
 Creating patterns through matrix expansion
 An apparition of Mordell
 A dinnertime conversation
 Newton’s cows
 A novel discrete map exhibiting chaotic behavior
 1859 CE and beyond: Some reflections
 Cricket in pictures
 The maṅgalācaraṇam of the Mānasollāsa
 The second strike
 Visualizing the Hindu divisibility test
 Fermat’s little theorem and the periods of the reciprocals of primes
 A layman’s overview of the arithmetic of encryption
 Divisionmultiplication parabolas, triplications, and quadratic residues
 A brief overview of the last campaign of Chingiz Khan and the issue of succession in the Mongol empire
 The mean hyperbola and other mean functions
 A Political roundup August 15 2018
 The geometric principles behind discrete dynamical systems based on the generalized Witch of Agnesi
 Reflections on our journey through the aliquot sums and sequences
 The ghost in the tattered Gattermann
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Tag Archives: complex numbers
Packing constants for polygonal fractal maps
Among the very first programs which we wrote in our childhood was one to generate the famous Sierpinski triangle as an attractor using the “Chaos Game” algorithm of Barnsley. A couple of years later we returned to it generalize it … Continue reading
Posted in art, Scientific ramblings
Tagged chaos, complex numbers, fractal, fractals, geometry, Golden Ratio, IFS, polygons, recreational geometry
Counting primes, arithmetic functions, Ramanujan and the like
We originally wished to have a tailpiece for our previous note that would describe more precisely the relationship between the Möbius function and the distribution of prime numbers. However, since that would have needed a bit of a detour in … Continue reading
Posted in History, Scientific ramblings
Tagged complex numbers, Euler, Gauss, mathematics, prime numbers, Ramanujan, Riemann
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
Wisdom from a tag system
The case of the mathematician Emil Post, like that of several others, indicates how the boundary between mania and mathematics can be a thin one. Nevertheless, Post discovered some rather interesting things that were to have fundamental implications the theory … Continue reading
Posted in art, Scientific ramblings
Tagged Collatz, complex numbers, computation, fractal, fractals, mathematics, tag systems
Constructing a regular heptagon with hyperbola and parabola
There is little doubt that Archimedes was one of the greatest yavana intellectuals. He would also figure in any list of the greatest mathematicianscientists of all times. His work on the construction of a regular heptagon has not survived the … Continue reading
Posted in art, Scientific ramblings
Tagged complex numbers, conics, Gauss, Geometric construction, geometry, Greek, heptagon, hyperbola, mathematics, parabola, polygons, Thabit ibn Kurra
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