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The upper story in a few pictures
We have always held that there is no substitute to the knowledge gained from handling real data. It is always superior to one gained from mere reading without reproducing or self-investigation. Hence,...
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The magic of the deva-ogdoad
Classical Hindu tradition holds that the ogdoad of deva-s corresponding to their directions is: Indra: East; Agni: Southeast; Yama: South; Nirṛti: Southwest; Varuṇa: West; Vāyu: Northwest; Kubera:...
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Some biological analogies for certain sociopolitical issues
In Hindu society we often see certain relatively straightforward sociopolitical issues endlessly debated. A person with relatively commonplace IQ should in principle easily arrive a correct...
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A superficial look at national population density and some life history features
Over the years we have repeatedly checked out various collections of data pertaining to the human condition in the same manner as we attempted to apprehend scientific data. We have wondered whether to...
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Doubling the cube with ellipses
The problem of doubling of the cube which emerged in the context of the doubling of the cubical altar of the great god Apollo cannot be solved using just a straight-edge and a compass. It needs one to...
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Leaves from the scrapbook-2
As described here these entries are from the scrapbook of Somakhya. Entry 11; Arasa, year Pramādin of the first cycle: It was our first day at Kshayadrajanagara. I had exhausted all that was there to...
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Sine rugs
Consider a square lattice with uniform vertical and horizontal spacing of a quantum . This can be represented as an array of complex numbers of the form: . For our purposes we chose . Thus the lattice...
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Infinite bisections required for trisection of an angle
Figure 1: Self-evident demonstration of Figure 2: Application of the same as serial bisections to trisect the angle. In the example chosen here we have . In ten steps we get to which is a pretty close,...
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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 mathematician-scientists of all times. His work on the construction...
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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...
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Some personal reflections on Carl Gauss, Bernhard Riemann and associated matters
The biochemist Albert Szent-Györgyi had famously remarked that as he successively, journeyed for a better understanding of life from cell biology, to physiology, to pharmacology, to bacteriology, to...
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bhujā-koṭi-karṇa-nyāyaḥ koṭijyā-nyāyaś ca
bhujā-koṭi-karṇa-nyāyaḥ koṭijyā-nyāyaḥFiled under: art, Scientific ramblings Tagged: Geometric construction, geometry, mathematics, recreational geometry
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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...
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Some pictures relating to incidence of tuberculosis and AIDS
This another note of the type mentioned earlier. The earlier mentioned caveats apply here too. These are simplistic and superficial examinations of the issues being considered. Tuberculosis is caused...
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Journeying through the fractal slopes of mount Meru with two-seeded recursive...
The Hindus have been fascinated by sequences and series from the beginning of their civilizational memory recorded in the Veda. This continues down to the medieval mathematician Nārāyaṇa paṇḍita, who...
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A note on the asterisms forming the nakṣatra-s
In Hindu tradition the ecliptic is divided into 27 parts of which correspond to 27 asterisms known as the nakṣatra-s. In the earliest extant layers of our tradition this number is 28 implying division...
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The square root spiral and the Gamma function: entwined analogies
The topic discussed here is something on which considerable serious mathematical literature has published by P.J Davis, W. Gautschi and others. This partly historical narration is just a personal...
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The Rāmāyaṇa and a para-Rāmāyaṇa in numbers-II: Evolving early Indo-Aryan...
This article might be read in as a continuation of this earlier one. The methods/caveats mentioned therein apply here too. Some of the counts mentioned in this article might be approximate but should...
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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...
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Braided power: a brief note on the last great steppe power: the Mongol-Manchu...
We first read of matters pertaining to this note which some interest in books which had newly arrived at a library in our old city that we mainly visited for Sanskritic literature. We wished to...
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