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mAnasataraMgiNI supplement
 Perhaps because I don't like solitary travel I find this world roving a rather aberrant practice. But more to the p… twitter.com/i/web/status/1… 2 days ago
 I was speaking to my parents about this very issue because someone came up to me & authoritatively tried to mention… twitter.com/i/web/status/1… 2 days ago
 A partial graph of researchers leading the development of modern physics with some additional vertices added. The d… twitter.com/i/web/status/1… 2 days ago
 Elektorornis a strange bird from the Burmese Cretaceous amber with a very long 3rd digit on its foot https://t.co/sC1hwnah66 2 days ago
 A web of who eats whom as preserved in the fossil record of the Yanliao and Jehol in what's today China. https://t.co/PH4NDvU8Un 2 days ago
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Recent Posts
 Matters of religion: the Vāyavīyaṃ Kauberavratam
 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
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Tag Archives: square
An apparition of Mordell
Consider the equation: where is a positive integer 1, 2, 3… For a given , will the above equation have integer solutions and, if yes, what are they and how many? We have heard of accounts of people receiving solutions … Continue reading
Posted in Scientific ramblings
Tagged Bachet, cube, cubic, geometry, mathematical entity, mathematics, Mordell equation, numbers, prime numbers, quadratic, recreational geometry, square
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
The two squares theorem
I do not know who might have discovered this simple relationship first. I stumbled upon it while drawing figures in the notebook during a seminar. Take any two squares such that they are joined at one side and the two … Continue reading
Posted in art, Scientific ramblings
Tagged cuboid, Geometric construction, geometry, linear, mathematics, recreational geometry, square
Euler’s squares
On account of our fascination with the geometry of origami (albeit not wellendowed in mathematical capacity) we discovered for ourselves shortly after our father had taught us trigonometry that, We had earlier shown the origami proof for that. But it … Continue reading
Posted in Scientific ramblings
Tagged Euler, Geometric construction, geometry, Golden Ratio, mathematics, pi, recreational geometry, square, trigonometry
A strange Soviet construction
in our college days we used to visit the lālpustakbhaṇḍār in our city where Soviet books on science and mathematics were sold at a low price (alongside Marxian literature). They were a great resource that enormously contributed to our intellectual … Continue reading
Posted in Scientific ramblings
Tagged Geometric construction, geometry, mathematics, recreational geometry, Russia, square
Ramanujan’s second construction for the approximate squaring of a circle
To experience the greatness of great men one has to relive or redo some acts of theirs to the best of ones ability. In ones youth such enactments might inspire one to make a bid for greatness. Whether this happens … Continue reading
Posted in art, Life, Scientific ramblings
Tagged approximation for pi, Geometric construction, geometry, pi, quadrature of circle, Ramanujan, recreational geometry, square, squaring a circle
Between the rasArNava and the chitrabandhas
In the glorious summer we sought, through the secret practice, the enlightenment, which the elixir of viveka confers upon the lucky. We reclined in the holy land of bhArata, now sullied by the faded vigor of our peoples and the … Continue reading
Posted in art, Heathen thought, Life, Scientific ramblings
Tagged ashoka tree, bhAravi, D4, Dialium, entropy, histones, kAlidAsa, kirAtArjunIyam, lowcomplexity, posttranslational modification, Sanskrit, Saraca, sarvatobhadra, square, symmetry