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 An article of ours on beetles in old H thought. charaka was one of the first to report the effects of cantharidin i… twitter.com/i/web/status/1… 9 minutes ago
 While it is possible to do linguistics without philology, I believe it is of an inferior kind. Linguistics done wit… twitter.com/i/web/status/1… 23 minutes ago
 Leaves from the scrapbook3 manasataramgini.wordpress.com/2019/02/23/lea… 43 minutes ago
 the marUnmattas understand only one language well and the chInas know how to speak to them in it 15 hours ago
 Further notes on the parasitological tradition in early H medicine as taught by punarvasu Atreya to Agnivesha. From… twitter.com/i/web/status/1… 1 day ago
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 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
 The hearts and the intrinsic Cassinian curve of an ellipse
 The mathematics class
 Residues of squares, sequence curiosities and parabolas galore
 A poll on peoples’ beliefs on reincarnation
 Making of a modernday mantraśāstra pamphlet
 Some words on mathematical truth, scientific conviction and the sociology of science
 A note on the least prime divisor sequences of 2p plus or minus 1
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Tag Archives: conics
Divisionmultiplication parabolas, triplications, and quadratic residues
Introduction Many strands of our investigations on conicgenerating integer sequences, word fractals and cellular automaton models for pattern formation came together in an unexpected manner while investigating a simple integer sequence. While some of these connections have have been known … Continue reading
Posted in Scientific ramblings
Tagged arithmetic, conics, fractal, fractals, geometry, mathematical entity, mathematics, MephistoWaltz, numbers, parabola, prime numbers, sequence
The mean hyperbola and other mean functions
Let be two numbers such that, We use to construct a specific rectangular hyperbola using one of the following methods: MethodI (Figure 1: this is based on an approach we described earlier) Figure 1 1) Mark point , which will … Continue reading
The hearts and the intrinsic Cassinian curve of an ellipse
Introduction This investigation began with our exploration of pedal curves during the vacation following our university entrance exams in the days of our youth. It led to us discovering for ourselves certain interesting heartshaped curves, which are distinct from the … Continue reading
Posted in Scientific ramblings
Tagged circle, conic sections, conics, curves, ellipse, Geometric construction, geometry, heartcurve, hyperbola, ovals, parabola, recreational geometry
The quotient triangle, the parabolahyperbola sequence, the remainder triangle and perfect numbers
The quotient triangle Consider a positive integer . Then for all do the floor operation . Say , we get , a sequence of quotients of the division . If we do this for all we get the quotient triangular … Continue reading
Posted in Scientific ramblings
Tagged composite numbers, conic sections, conics, division, geometry, mathematics, Nicomachus, pi, prime numbers, Ramanujan
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
Means and conics
By the time one reaches high school one learns that: (i) there are four means that one might find some use of in life (I know there are more though they are hardly used) – the arithmetic mean which is … Continue reading
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