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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: square
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