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Some astronomical experiments
Our interest in stellar evolution began sometime in the 8th year of our life after reading an old but very readable account by the famed Russian scientist George Gamow. It captivated us beyond words...
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Some words on “para-Rāmāyāṇa-s”-I
I use the hybrid Greek-Sanskrit word para-rāmāyāṇa for all rāma-kathā-s other than that of Vālmīki. These span a great diversity of literature going back to relatively early times in Indo-Aryan...
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In the gray zone
Among the thinkers of the modern Occident one may take note of the Englishman John Gray. He is firmly an insider of the Anglosphere not just by origin but also by worldview: he is quick to spot the...
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A golden construction
Anyone with even a small fancy for geometrical matters would have at some point in their lives played with the golden ratio (). Indeed, we too have had our share of fun and games with the golden ratio....
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Mysterious fractal polyhedra
Filed under: art Tagged: fractal, fractals, Generative Art, polyhedra
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Some meanderings among golden stuff
There are some angles that we often encounter in the construction of the golden ratio and its use in religious art. The first is the most obvious is the angle which is the angle made by the diagonals...
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śūlapuruṣasya vicāraḥ
Somakhya’s cousin Babhru and his family was visiting him during the vacation before they were to join university. After lunch he convinced his Vidrum and Sharvamanyu to come over to this house when...
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A journey through fractal objects
Filed under: art Tagged: 3D Julia, fractal, fractals, geometry, Mandelbrot, recreational geometry, recursion
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Leaves from the scrapbook
There were extensive memoirs in the form of electronic scrapbooks of Somakhya, Lootika and some members of their circle. Those in the know read the available excerpts due to matters of considerable...
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The Apollonian parabola
Some say that Archimedes and Apollonius of Perga (modern Murtina in Turkey; the center of the great yavana temple of the goddess Artemis in the days of Apollonius) were the two great yavana-s who might...
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Knotting a string: line, parabola, conchoid and knot
The basic construction In course of studying various methods of constructing conics we stumbled upon a means of using the relationship between uniform circular motion (UCM) and simple harmonic motion...
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Some meanderings among golden stuff-2
Related stuff: Golden Ratio-0 Golden Ratio-1 If the golden ratio can fascinate erudite men of high IQ then what to say of simpletons like us. Hence, we shall here talk about some more trivia in this...
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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...
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Chaos in the iterative Hindu square root method of the gaṇaka-rāja
For Hindus big numbers always mattered and our mathematics is quite reflection of this fascination. Since the earliest times, Hindus devised various methods to obtain square roots of numbers,...
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Syllable, number and rules in the ideal realm
This note is neither meant to be complete exposition of this matter nor a complete view of all what we have realized in this regard. Nor can it be completely understood by those who are not insiders of...
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Some lessons we learned from 3-color totalistic cellular automata
Cellular automata (CA) have attracted people’s attention to different degrees over the past several decades since the early work of pioneers like Ulam and von Neumann. Remarkably von Neumann played...
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The professor’s war
It was the end of his work week. Vidrum came to the office of Vrishchika of long tresses; she had just started her lab at the medical school. Vrishchika put on her gloves and handed Vidrum a box: “Here...
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Paper folding, Sundara Rao and geometrical constructions
Paper folding, which we shall hereinafter refer to as origami without further discussion on the correctness of the usage, is believed to have had a long history in Japan. Some believe that some...
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Matters of religion: discussion on vāyavya offerings
Somakhya and Lootika had revived the private one day rite in the manner of their ancestors as had been ordained by the youthful sage Śunaḥśepa Ājigarti. They were resting at the corner of their...
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Some reminiscences of our study of chaotic maps-1
Starting in our teens, we began our exploration of chaotic (strange) attractors emerging from simple iterative maps, numerical solution of ordinary differential equations and other fractals inspired by...
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