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- The rise of the psychopath oligarchy
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- Tricakra
- Yantrasiddhi
- The dreadful apport
- Some ruminations on asteroids and meteoritic falls
- Comet C/2022 E3 (ZTF)
- The Vyomavyāpin in the Pāśupata-tantra and a discursion on nine-fold Rudra-mantra-s
- Bhāskara-II’s polygons and an algebraic approximation for sines of pi by x
- Origins of the serpent cult and Bhāguri’s snake installation from the Sāmaveda tradition
- Two simple stotra-s, sectarian competition, and the Varāha episode from the archaic Skandapurāṇa
- The zombie obeys: a note on host manipulation by parasites and its ecological consequences
- Cārucitrābhisambodhi
- RV 10.78
- The turning of the yugacakra
- A sampler of Ramanujan’s elementary results and their manifold ramifications
- A catalog of attractors, repellors, cycles, and other oscillations of some common functional iterates
- The wink of the Gorgon and the twang of the Lyre
- Some poems
- The Kaumāra cycle in the Skandapurāṇa’s Śaṃkara-saṃhitā
- Some notes on the runiform “Altaic” inscriptions and the early Turk Khaghanates: Orkhon and beyond
- Vikīrṇā viṣayāḥ: India and the Rus
- Alkaios’ hymn to the Dioskouroi: Hindu parallels
- Some notes on the Indo-European aspects of the Anatolian tradition
- The death of Miss Lizzie Willink
- Indo-European expansions and iconography: revisiting the anthropomorphic stelae
- Geopolitical summary: March 2022
- Human retroviruses, sociology of science, and biographical ruminations
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Recent Posts
- Looking back at the goroga attacks and forward at geopolitical developments
- Khitans and Mongols: A story of deep and persistent connections-1
- The rise of the psychopath oligarchy
- The rise of yajña and Kauśika exceptionalism
- Tricakra
- Yantrasiddhi
- The dreadful apport
- Some ruminations on asteroids and meteoritic falls
- Comet C/2022 E3 (ZTF)
- The Vyomavyāpin in the Pāśupata-tantra and a discursion on nine-fold Rudra-mantra-s
- Bhāskara-II’s polygons and an algebraic approximation for sines of pi by x
- Origins of the serpent cult and Bhāguri’s snake installation from the Sāmaveda tradition
- Two simple stotra-s, sectarian competition, and the Varāha episode from the archaic Skandapurāṇa
- The zombie obeys: a note on host manipulation by parasites and its ecological consequences
- Cārucitrābhisambodhi
- RV 10.78
- The turning of the yugacakra
- A sampler of Ramanujan’s elementary results and their manifold ramifications
- A catalog of attractors, repellors, cycles, and other oscillations of some common functional iterates
- The wink of the Gorgon and the twang of the Lyre
- Some poems
- The Kaumāra cycle in the Skandapurāṇa’s Śaṃkara-saṃhitā
- Some notes on the runiform “Altaic” inscriptions and the early Turk Khaghanates: Orkhon and beyond
- Vikīrṇā viṣayāḥ: India and the Rus
- Alkaios’ hymn to the Dioskouroi: Hindu parallels
- Some notes on the Indo-European aspects of the Anatolian tradition
- The death of Miss Lizzie Willink
- Indo-European expansions and iconography: revisiting the anthropomorphic stelae
- Geopolitical summary: March 2022
- Human retroviruses, sociology of science, and biographical ruminations
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Category Archives: Life
Looking back at the goroga attacks and forward at geopolitical developments
An acquaintance recently asked us if we remembered the famous goroga attacks in the mahāmleccha lands. We had to confess that they were hardly the top thing on our mind, though we had repeatedly thought of those attacks at the … Continue reading
Posted in Life, Politics
Tagged disease, Geopolitics, mlechCha, pandemic, subversion
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The rise of the psychopath oligarchy
There are certain things in (geo)politics that are largely unsurprising to us because we had seen their seeds over a decade or two ago. In part, we were able to infer several things correctly in advance due to a few … Continue reading
Posted in Life, Politics, Scientific ramblings
Tagged Anglosphere, biological conflict, biology, eusociality, Geopolitics, hymenopterans, insects, mlechCha, psychopaths
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Yantrasiddhi
The March 23 version of ChatGPT’s attempt at drawing the flag of India. It made an error in the color specification of “NavyBlue” in the xcolor package. We corrected that in order to let it compile. Other than that, we … Continue reading
Posted in Heathen thought, History, Life, Politics, Scientific ramblings
Tagged AGI, AI, catastrophe, ChatGPT, computation, extinction, GPT4, history, LLM, RLHF
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The dreadful apport
Vrishchika had just finished her work on the diagnosis and possible treatment plan for a pediatric neurological patient on whom she was consulted. She had inferred that the child’s condition arose from a mutation in the TANC2 gene and it … Continue reading
Posted in art, Heathen thought, History, Life
Tagged ancient Hindu thought, fake science, fake scientist, religion, Story
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Some ruminations on asteroids and meteoritic falls
Recently, we received the news of a Russian spacecraft meant to bring some astronauts back to earth being hit by a meteorite. In early February we saw an obscure news item of the sighting of a meteoric fireball over Krasnoyarsk. … Continue reading
Posted in History, Life, Scientific ramblings
Tagged asteroids, astronomy, impact crater, meteorite, meteoroid, meteors, planets
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Comet C/2022 E3 (ZTF)
The dispiriting cloud cover lifted briefly on two nights (Wed 8/2/2023 and Fri 10/2/2023) finally giving us an opportunity to catch the latest Agni-putra-ketu in the welkin, Comet C/2022 E3 (ZTF). On the first night, there was still some haze, … Continue reading
Posted in Heathen thought, Life, Scientific ramblings
Tagged astronomy, Comet, Comet C/2022 E3 (ZTF), Hindu knowledge, Hindu ritual
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The Vyomavyāpin in the Pāśupata-tantra and a discursion on nine-fold Rudra-mantra-s
The Pāśupata-tantra is a poorly understood śaiva text that is believed to be affiliated with the Pāśupata tradition of Lakulīśa. While the colophons of some manuscripts present it as “Lakulīśa-pravartita-Pāśupata-tantram”, internally, it presents itself as a teaching of Nandin to … Continue reading
Posted in Heathen thought, Life
Tagged ancient Hindu thought, Hindu, Indo-Aryan, Indo-European, Indo-Iranian, kaula, mantra, mantra-sAdhana, mantra-shAstra, pA~ncharAtra, religion, rudra, saiva, shaiva, shiva, tantra, tantra age
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Cārucitrābhisambodhi
Chakkalal and Mundalal saw that Gannaram Dakiya, the owner of the little eatery, had taken a bit too much of an ethanolic beverage and had forgotten to lock the safe with his phone, cards and some cash. They broke into … Continue reading
Posted in Life, Scientific ramblings
Tagged arcana, Hindu, history, memory, politics, Story
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Some poems
Below are some poems in English by our brother. He sends us his compositions in a much more transient medium making them hard to preserve or share. Hence, we decided to anthologize those we could recover and present them here … Continue reading
Posted in art, Life
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Some notes on the runiform “Altaic” inscriptions and the early Turk Khaghanates: Orkhon and beyond
The early Turkic inscriptions from Mongolia and their discovery On February 27th, 731 CE (17th day of the Year of the Sheep), Kül Tegin, the great hero of the second Gök Türk (Blue Turks) empire, passed away in his 47th … Continue reading
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The death of Miss Lizzie Willink
Late that spring, Somakhya and Lootika were visited by their mleccha friend Irmhild. Letting her sleep off the jet lag, they left for work. Given the good weather, Lootika returned early to check on their friend and go out with … Continue reading
Posted in Life, Politics
Tagged English, English tyranny, entomology, Hindu, history, mlechCha, religion, religiosity, Story
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Human retroviruses, sociology of science, and biographical ruminations
We learnt via a recent obituary that the French researcher Luc Montagnier died a month or so ago after living for nearly 90 years. He along with his compatriot and erstwhile colleagues, Françoise Barré-Sinoussi and Jean-Claude Chermann discovered HIV-1. Subsequently, … Continue reading
Posted in History, Life, Scientific ramblings
Tagged AIDS, biography, biological conflict, biological patterns, biologists, biology, HIV, virus, viruses
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Transcripts of conversations: the addiction principle:
A friend recorded some of our verbalizations and made transcripts of them. He sent them to us to and we decide to edit them and post them as and when we get the chance — not out of a narcissistic … Continue reading
Posted in History, Life, Politics, Scientific ramblings
Tagged Geopolitics, history, toxins, war
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Phantom impressions-1
Lootika had gotten her kids engaged with the beauty of the connections between multiplication tables, division and geometry. Leaving them to their labors, she went over to Somakhya’s desk to bring him to join her for the afternoon tea. Lootika … Continue reading
Are civilizational cycles the norm?
Nearly two and half decades back, we used to have several conversations with a late śūlapuruṣīya professor, mostly on topics with a biological angle. While not a mathematician, he had a passing interest in dynamical systems, for he felt that … Continue reading
Subjective and objective insight
The black American scientist Sylvester Gates mentioned a curious personal anecdote in a talk. To paraphrase him, when he was in college, he had to take a calculus course. He mentioned how he could cut through differentiation as it was … Continue reading
Posted in Heathen thought, History, Life, Scientific ramblings
Tagged consciousness, DMT, first-person, ghosts, history of science, mathematics, objective, subjective
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On the passing of E.O. Wilson
E.O. Wilson, one of the great biologists of the age, has fallen to the noose of the king, the black son of Vivasvān. He lived a long, productive, and eventful life, just 8 years shy of a century. He was … Continue reading
Posted in History, Life, Politics, Scientific ramblings
Tagged ants, bees, biology, eusociality, history of science, hymenopterans, isopterans, social parasitism, society, sociobiology, sociology, Superorganism, Watson, Wilson
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Some words on mleccha cartels
An embedded anthropological study of social substructures is vital to grasp some of their features that seem baffling to the outsider or the “uninitiated” insider. Much of what we will be talking about here has been said in some form … Continue reading
Posted in Life, Politics
Tagged Anglosphere, Anti-Hindu, Anti-India, Geopolitics, mlechCha, social parasitism, socialism, society, sociology
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The strange case of the Āpastamba sprite
This is the second of the two stories that arose from incidents during the visit of Yaśaśravas, Somakhya’s cousin. With the autumnal vacations, Somakhya was having a good time with his visiting cousin, giving him lectures on the theory and … Continue reading
The rise of Navyonmāda, the subversion of the Mahāmleccha-s, Cīnānusāra and beyond
The past The dynamics of the establishment of the counter-religious unmāda-s are of some interest. The pūrvonmāda of pharaoh Akhenaten arose from the moha in his own head and was imposed on the populace due to his imperial power. It … Continue reading
Posted in History, Life, Politics
Tagged Abrahamism, Anglosphere, Chinese belligerence, Chinese incursion, Geopolitics, Hindu, leukosphere, mlechCha, world history, World War 2
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Some biographical reflections on visualizing irrationals
In our childhood, our father informed us that, though the school told us that , it was not valid. However, he added that for “small fractions” [Footnote 1] it was a great approximation. Moreover, the numerical problems, which we would … Continue reading
Self, non-self and segregation: a very basic look at agent-based lattice models
In our college days, a part time physics teacher from an old and respected V clan used to chat with us about issues of mutual interest that were beyond that of the rest of the class (or for that matter … Continue reading
Posted in Life, Scientific ramblings
Tagged cellular automata, geometry, Ising, lattice models, mathematics, Schelling, self/non-self, society, sociobiology, sociology
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Bhairavānanda’s wicks: a retelling
It was early in the school year and the last class for the week, the English class. The students were restless as the sea at the time of the tide from the pull of the impending weekend. For the first … Continue reading
The cicadas return
Seventeen years after we first saw them emerge, like a great horde of Cīna-s invading Tibet, the cicadas of Brood X reemerged. 17 years is a good amount of time, making one pause to reflect on what has passed by … Continue reading
Posted in Life, Scientific ramblings
Tagged animal, animals, cicadas, insects, life expectancy, wildlife
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Generating simple radially symmetric art
Many people experience beauty in structures with bilateral, radial and rotational symmetries with or without recursion. The recursive or nested structure are the foundation of the beauty in fractal form, the generation of which has become increasingly easy for the … Continue reading
Posted in art, Life
Tagged art, art and science, Generative Art, Geometric construction, geometry
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The phantoms of the bone-pipe-2
Vidrum had been introduced to a synesthetic patient by a neurologist colleague. The patient’s manifestation of synesthesia left a rather profound impact on him; thus, when he had a break of an hour in his duties, wanting to explore the … Continue reading
Posted in art, Heathen thought, Life
Tagged biochemistry, chemistry, death, ghost, ghosts, pandemic, Story
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A great statistician, and biographical, numerical musings on ancient game
Recently my friend brought it to my attention that C. Radhakrishna Rao had scored a century. Born in 1920 CE to Doraswamy Nayadu and A. Laxmikanthamma from the Andhra country, he is one of the great mathematical thinkers and statisticians … Continue reading
Huntington and the clash: 21 years later
This note is part biographical and part survey of the major geopolitical abstractions that may be gleaned from the events in the past 21 years. Perhaps, there is nothing much of substance in this note but an uninformed Hindu might … Continue reading
Posted in Heathen thought, History, Life, Politics
Tagged Abrahamism, Abrahamistic vandalism, Chinese belligerence, Chinese incursion, clash of civilizations, Hindu, India, mlechCha, war
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The phantoms of the bone-pipe
As Vidrum was leafing through some recent case studies to gather the literature for his own production, he received a call from his chauffeur. He had fetched Vidrum’s new car. Vidrum went out to take a look at it. As … Continue reading
Posted in Heathen thought, History, Life
Tagged bhairava, bhairava temple, death, ghost, ghosts, gupta, Hindu ritual, kaumAra ritual, mAtR^ikA, Rigveda, ritual, skanda, Story, upanisad, upaniShad, Veda, vedAnta
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The cosine principle, radial effect and entropy in the generalized Lozi map
The generalized Lozi map is a good way to illustrate the cosine principle and the radial effects (in lay circles to which I belong in this regard, as opposed to mathematicians). The generalized Lozi map is a 2-dimensional map defined … Continue reading
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The old teacher
The summer of the year after the tumultuous events, Lootika and Somakhya were traveling to visit their parents. They were supposed to attend the marriage of Somakhya’s cousin Saumanasa but they found social engagements with a subset of the clan … Continue reading
Counting pyramids, squares and magic squares
Figure 1. Pyramidal numbers The following note provides some exceedingly elementary mathematics, primarily for bālabodhana. Sometime back we heard a talk by a famous contemporary mathematician (M. Bhargava) in which he described how as a kid he discovered for himself … Continue reading
The tale of the dolmen-dweller
The exams were over and the last semester of toil was all that stood between Vidrum and the dim glimmer he saw at the end of his metaphorical tunnel. He finally had some free time that he wished to savor … Continue reading
Posted in art, Heathen thought, Life
Tagged Army of Islam, communism, ghost, ghosts, Marxism, social parasitism, socialism, society, Story
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Winners and Losers
Somakhya and Lootika were visiting the Śūlapuruṣadeśa for work reasons. Unlike their ārya ancestors, they did not like being on the move much. It was a rare occasion that both had been able to travel together and it brought them … Continue reading
Posted in History, Life, Politics
Tagged American, China, Chinese belligerence, Chinese incursion, fiction, Germans, Germany, history, Japan, Story, war, world history
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Conic conquests: biographical and historical
PDF file of same article Studying mathematics with our father was not exactly an easy-going experience; nevertheless, it was the source of many a spark that inspired fruitful explorations and life-lessons. We recount one such thread here, and reflect on … Continue reading
Pandemic days: the fizz is out of the bottle
Just this morning our brother remarked that the fear of the virus has inverted this month with respect to the actual infection. We literally hear this: in the past few months, while home-bound, we at least had aural quietness for … Continue reading
Posted in History, Life, Politics
Tagged Abrahamism, Abrahamistic vandalism, American, ape behavior, communal riots, evolution of religions, Geopolitics, mlechCha
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Viṣṇu, the Marut-s and Rudra
This note might be read as a continuation of the these two earlier ones: 1) The Aśvin-s and Rudra 2) The roots of Vaiṣṇavam: a view from the numerology of Vedic texts In the Ṛgveda (RV), the Marut-s are seen … Continue reading
Posted in Life
Tagged agni, ashvins, Indo-Aryan, Indo-European, Indo-Iranian, indra, Rigveda, rudra, shatarudrIya, varuNa, ved, Veda, vedAnta, vedic, viShNu, Yajurveda
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Pandemic days-4: viruses get new hosts
That we have come to be in these pandemic days evokes some wonderment or even disbelief among laypeople. The general thinking of a large section of the populace is that this event is something completely unexpected or out of the … Continue reading
Rāsabha-nyāya-śikṣā
Vrishchika had been seeing several kids of patients affected by the chemical leak that had happened sometime ago. While she saw some purely for routine clinical practice, she was also particularly interested in the several cases exhibiting heterotaxy and had … Continue reading
The culmination of Galtonism or pandemic days-3
We saw a list of famous elderly people whom the virus has already placed in the abode of Vaivasvata at the time of writing. We recognized at least two names: (1) Robert Carroll the paleontologist, whose hard to find book … Continue reading
Posted in Life, Politics, Scientific ramblings
Tagged China, Chinese belligerence, Geopolitics, Han imperialism, memetic virus, Mycobacteria, virus, viruses
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The culmination of Galtonism or pandemic days-2
Ensconced in the apparent safety of the 4 walls the mind looks out into the completely silent streets with hardly a soul or even a passing ratha — a mere 120 days have made the world look and sound different. … Continue reading
Posted in Life, Scientific ramblings
Tagged China, disease, Han imperialism, virus, viruses
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The culmination of Galtonism or pandemic days-1
While many thoughts crowd our mind we have hardly felt the drive to put them down on a more visible medium. Such is the nature of the times when things happen reminding you of the inexorable turning of the yuga-cakra. … Continue reading
Snatches
Vidrum had called on his friends Somakhya and Lootika on a quiet afternoon to accompany him for a climb on the trails of Vidrumavistāra that lay beyond Viṣṭhaparvata. The fierce fighting arising from a surprise ghazvat of the makkha-viṣaya-dānava-s had … Continue reading
Posted in Heathen thought, History, Life
Tagged fiction, Hindu knowledge, history of science, knowledge production, knowledge systems, Story
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The Plague: historical, biographical and current: a brief roundup
Globalization is not a new thing. The Indo-European empire of the steppes was perhaps the first one. In addition to having a serious component of our genetic ancestry and most of our memetic inheritance in it, we can still see … Continue reading
Matters of religion-3
Lootika seeing Somakhya contemplating something remarked: “That great clash of men is upon us, where, as the śruti says, our flag will be mingled with that of the enemy in close combat.” Somakhya: “It’s almost as if your mind is … Continue reading
Posted in Heathen thought, Life
Tagged atharva veda, atharvaveda, Hindu, Hindu ritual, Indo-Aryan, Indo-European, Indo-Iranian, Iranian, religion, Rigveda, ritual, Story, Veda, vedic, Yajurveda
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Human journeys, ascents and descents
As we headed towards the bus-stand to take our homeward conveyance, we saw an unusual stir in its vicinity. We passed a clump of young, well-to-do, white American women ambling along holding over-sized coffee or cola cups and exclaiming: “Wow!” … Continue reading
Posted in Life, Politics
Tagged American, First Americans, frontier lands, human existence, inequality
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The aftermath: A polynomial equation
This is merely the tailpiece to the last tale of the strange hauntings. A reader may wonder why expend so many words on a high school problem. While the ball could have fitted into the socket, it rolled away. As … Continue reading
Posted in art, Life, Scientific ramblings
Tagged mathematics, polynomial, series sum, Story
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The blue bottle and the talent show
This story itself is haunted. The deaths Seeing Vidrum intently gaze at something on his phone with an expression of near disbelief Kalakausha asked: “Vidrum, what are you looking at? We need to be leaving shortly. We have to buy … Continue reading
Posted in art, Life
Tagged Geometric construction, geometry, geometry box, recreational geometry, Story
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Matters of religion: the Vāyavīyaṃ Kaubera-vratam
The bus came to halt at the underground stop. Vrishchika of pretty tresses got off the bus and walked up the stairs to reach the over-bridge. She reached the middle of the bridge and stood there looking out expectantly at … Continue reading
Posted in Heathen thought, Life
Tagged atharvaveda, evolution of religions, goddesses, gods, Hindu ritual, Indo-Aryan, Indo-European, Indo-Iranian, kubera, religion, Rigveda, rudra, shiva, Story, varuNa, vAyu, Veda, Yajurveda
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The Platonic culmination of Euclid and the pentagon-hexagon-decagon identity
Why did great sage Pāṇini compose the Aṣṭādhyāyī? There were probably multiple reasons but often you hear people say that he wanted to give a complete description of the Sanskrit language. That was probably one of his reasons but was … Continue reading
Posted in Heathen thought, Life
Tagged Geometric construction, geometry, Golden Ratio, Greek, Hindu, Plato, polygons, polyhedra, recreational geometry, religion, triangles, trigonometry
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Leaves from the scrapbook-4
As described here these entries are from the scrapbook of the second of the caturbhaginī, Vrishchika. Entry 1; kāmāturā, year Siddhārthin of the first cycle: Indrasena departed for grad school last week and I am feeling a bit of loneliness … Continue reading
Posted in art, Life
Tagged aphanosaurs, mercurials, Mohammedanism, politics, rasa, Story
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Fraudulent science by Indians: some really bad news
Around 2011 we were approached by a researcher of Indian origin for a collaboration in biochemistry regarding a family of proteins whose biochemical functions we had uncovered. After more than an year of dealing with him, it became clear that … Continue reading
Posted in Life, Politics, Scientific ramblings
Tagged bad ideas, bad research, cancer biology fraud, fraud, fraudulent chromatin remodelers, fraudulent enhancer protein interactions, fraudulent methylated histone binding proteins, fraudulent protein-protein interactions, Hindu diaspora, India, small RNA fraud
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Leaves from the scrapbook-3
As described here these entries are from the scrapbook of Somakhya. Entry 3; Nimlukti, year Anala of the first cycle: I was still at Turushkarajapura at a lab where I had access to a computer-network with a large number of … Continue reading
A dinnertime conversation
A complete version of this apolog will currently not be visible to the public. Things had cooled off a bit on the political front after the assassination of the Prime Minister Pratap Simha by a massed drone attack. On the … Continue reading
Cricket in pictures
We may say that cricket has nearly passed us by. In our youth we played and watched the game quite a bit. While in secondary school we were fairly interested in cricket statistics. The sources for statistics were not easily … Continue reading
The second strike
PDF version Childhood Thrice a week, starting Fridays, Lootika’s mother taught her daughters mantra-siddhānta after dinner. She had covered the praxis of the secret mantra-s of the Vīṇāśikhā and had moved on to relevant sections of the Jayadratha-yāmala and the … Continue reading
Fermat’s little theorem and the periods of the reciprocals of primes
From the genetic code to the proof of Fermat’s little theorem Nucleic acids encode the 20 amino acids found in the sequence of a protein using just 4 bases: A, G, T, C in DNA. Thus, the 4-symbol nucleic acid … Continue reading
Posted in Life, Scientific ramblings
Tagged arithmetic, decimal, decimal cycle, Fermat little theorem, fractions, mathematics, prime numbers, sequence
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The ghost in the tattered Gattermann
Vidrum had dropped by to see Somakhya and Lootika when they had just started their household together. They had reconstituted a fairly elaborate lab in the biggest room of their home. They had also completely set up their fire room, … Continue reading
Posted in Heathen thought, Life, Scientific ramblings
Tagged biochemistry, biology, fiction, Gatterman, ghosts, religion, Story
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The mathematics class
It was a dreary autumn day, the same year Lootika had joined their school. The apabhraṃśa class had just gotten over. Somakhya’s head was spinning with all the confusing genders of the vulgar apabhraṃśa that was dealt with in the … Continue reading
A poll on peoples’ beliefs on reincarnation
Using the Twitter’s poll tool we conducted a poll which gave the below results: Reincarnation happens: Believe so but there is no evidence for it: 52% Sure, have the evidence for it: 20% No, just mumbo-jumbo: 11% Do not know: … Continue reading
Posted in Heathen thought, Life
Tagged beliefs, Hindu, Hindus, reincarnation, religion
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Making of a modern-day mantra-śāstra pamphlet
Originally, all mantra instructions were oral, keeping with the spirit of the śruti. But over time, starting probably around the Mauryan age, written manuals began to supplement the oral teachings. Thus, through the ages practitioners of the mantra-lore have made … Continue reading
Posted in Heathen thought, Life
Tagged atharvaveda, Indo-Aryan, Indo-Iranian, mantra, mantra-sAdhana, mantra-shAstra, religion, Rigveda, Veda, Yajurveda
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Some words on mathematical truth, scientific conviction and the sociology of science
Sometime in the bronze age more than one group of humans, including our own Aryan ancestors, discovered that the squares of the two legs of a right triangle sum up to the square of the hypotenuse. This is the famed … Continue reading
Sītā in the pyre
It was quiet, early Saturday evening. Vidrum, Jukuta, Sharvamanyu and Lootika were hanging out on the parkway of Somakhya’s house. They had assembled there for some curricular preparation on differentiation. Somakhya and Lootika had covered the chain rule and the … Continue reading
Posted in Heathen thought, Life
Tagged fiction, Hindu, leftists, religion, secularism, socialism, society, Story
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A day at school
It was the English class in school. The teacher, a swarthy man with somewhat liberal political leanings, strode into the class: “Today we shall be studying a poem by the white American poet Robert Frost, Fire and Ice. Dandadipa, stand … Continue reading
Posted in Life
Tagged Abrahamism, fiction, Fire, Ice, Maillard reaction, religion, space, Story
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Our auto-discovery of the Möbius and Mertens sequences
Recently, we were explaining to our friend the Möbius and the Mertens functions and their relationship to the prime number distribution. We also heard with some wonder from a physicist of a theoretical model where multiparticle states behave as bosons … Continue reading
Civilizational collapse, complexity, innovation and neomania
On these pages we had provided some commentary on the work of the German thinker Oswald Spengler and his ideas of civilizational development. We had also provided other perspectives on this matter derived from analogies stemming from simple mathematical systems. … Continue reading
Posted in History, Life
Tagged civilizational collapse, collapse, complexity, neomania, Spengler, technology
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Frustrations and ramblings ensuing from Cretaceous amber
Time and again I have been frustrated by the inability of Hindus to make the most of the riches that are available in their own land or right next to them. One such case is that of Cretaceous amber from … Continue reading
Posted in Heathen thought, History, Life, Scientific ramblings
Tagged amber, birds, buddhism, dinosaurs, elektron, fossil, Hindu, kavI, kAvya, poetry
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Of lives of men; of times of men-III
Of lives of men; of times of men-II As they were talking, they saw a sallow-complexioned youth pass by them some distance away carrying a bat on his shoulder. Vidrum waved out to him and he responded similarly and after some … Continue reading
Posted in Cricket, Life, Politics
Tagged inequality, normal distribution, power law, Story
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Of lives of men; of times of men-II
Of lives of men; of times of men-I Vidrum: “When we attended the discussions at the Right Wing Debate club we heard the president Rammandir Mishra repeatedly emphasize that South Asian civilization was not a ‘history-centric’ civilization and that history-centricism … Continue reading
Posted in Heathen thought, History, Life
Tagged ancient Hindu thought, Euler, Gauss, Hindu, Hindu knowledge, Hindu science, Hindus, history, Ramanujan, Riemann, Story, world history
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Of lives of men; of times of men-I
Sharvamanyu and Vidrum arrived at the campus where Somakhya and Lootika were in their final days of college. Sharvamanyu had already been working for several months while Vidrum had just completed the last but one of his major exams for … Continue reading
Posted in Heathen thought, History, Life, Politics
Tagged Abrahamism, Aryan, Egypt, Hindu, Indo-Aryan, Iranian, religion, Story, war
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The story of the Orissan cycle-vālā
Vidrum had been under considerable pressure. His parents had made it clear that they would auction away his new bike if he was not ranked within the top 5 in his class in the impending mid-semester exams. They had also … Continue reading
Make your own sky map
We live in the age of photo-realism, be it for maps of the world or of the sky – it is a realism that not long ago was beyond the reach of even our vision. That is why even though … Continue reading
Posted in Heathen thought, Life, Scientific ramblings
Tagged astronomy, globular clusters, nakShatra-s, nebulae, open clusters, sky, star chart, stars, variable stars
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The apparition of the Scottish surgeon
On a late summer evening, at the twilight hour, Somakhya accompanied by Lootika met Vidrum outside his home. Vidrum was supposed to show Somakhya something special he had found during a visit to the limestone excavations near his ancestral village. … Continue reading
Posted in art, Life, Scientific ramblings
Tagged anthropogenic, extinctions, fiction, ghost, ghosts, history of science, Story, tortoise, turtles
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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 talk with my cousins Mandara … Continue reading
Posted in Heathen thought, Life, Scientific ramblings
Tagged ellipse, Geometric construction, geometry, recreational geometry, Story
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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 biochemistry, to physical chemistry to quantum mechanics he lost life between his … Continue reading
Posted in History, Life, Scientific ramblings
Tagged Einstein, Euclid, Euler, Gauss, geometry, Greek thought, Non-euclidean geometry, Riemann, Thabit ibn Kurra
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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 write on them in any detail. We … Continue reading
Posted in History, Life, Politics
Tagged Afghanistan, Africa, city states, India, IQ, Japan, life expectancy, population density, statistics
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Trigonometric tangles-2
We had earlier described our exploration of the spirograph, hypocycloids, epicycloids and related curves. In course of our study of the śaiva tantra-s of the kaula tradition we started thinking about a remarkable piece of imagery mentioned in them. Tantra-s … Continue reading
Posted in art, Heathen thought, Life, Scientific ramblings
Tagged circles, circular waves, curves, epicycloid, Generative Art, hypocycloid, mathematics, religion, trigonometry
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A prefatory narrative
Jhilleeka and Prachetas were visiting Lootika and Somakhya. Prithika, the daughter of the latter two was much excited as she resembled and was to resemble her youngest aunt in more than one way – they seemed to have a some … Continue reading
“Like the vidyādhara’s sword”
In old Hindu tradition a man who attained siddhi in his mantra practice was believed to become a vidyādhara whose might was manifest in the form his beautiful female partner who flew beside him embodying the power of fertility and … Continue reading
Posted in Life
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Some reminiscences of our study of chaotic maps-2
Continued from part-1 The second two dimensional map we studied in our early days was that of Lozi: where and are constants. It becomes immediately evident that this map is conceptually similar to the Henon map, using the absolute value … Continue reading
Posted in art, Life, Scientific ramblings
Tagged attractors, chaos, fractal, fractals, geometry, Gingerbread Man, Henon, logistic map, Lozi, mathematics, strange attractors, tent map
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Some elementary lessons from iterative fractal maps
The famous Sierpinski gasket was one of the first fractals we wrote code for when we got access to a computer. It impressed us enormously that an intricate object with self-similarity over all scales could be generated by a rather … Continue reading
Posted in art, Life, Scientific ramblings
Tagged biology, developmental biology, evo-devo, evolution, fractal, fractals, geometry, mathematics, recreational geometry, recursion, science, temple
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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 primitive form of origami might have been … Continue reading
Posted in art, Life, Scientific ramblings
Tagged doubling cube, Geometric construction, geometry, Japan, origami, paper-folding, religion, Sundara Rao, trisection of angle
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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 is … Continue reading
Posted in art, Life
Tagged espionage, fiction, nucleotidyltransferase, oxytocin, science, Story, toxins
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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 the tradition. … Continue reading
Posted in Heathen thought, Life, Scientific ramblings
Tagged art, biology, curlicue, fractal, fractals, geometry, Hindu, mathematical entity, mathematics, pi, Plato, Platonic ideals, proteins, religion, science
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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 this happens … Continue reading
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 interest being recorded in them. Other parts were … Continue reading
Posted in art, Life
Tagged chaos, Geometric construction, geometry, ghost, ghosts, Lotka-Volterra, population dynamics, Story, triangles, trigonometry, trisection
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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 Vidrum and Sharvamanyu to come over to his house when they got the chance for he thought more … Continue reading
Posted in art, Life, Politics
Tagged history, Oswald Spengler, Spengler, Story, world history
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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 barbarisms in … Continue reading
nakṣatra-darśanam
Varoli had just completed the synthesis of the xanthine coupled with hydroxymethyluracil and diaminotriazine to test an interesting hypothesis of Somakhya regarding a particular class of DNA-binding proteins. She was putting in considerable effort to finish it off by the … Continue reading
Posted in Life, Scientific ramblings
Tagged astronomy, Hyades, Life, open cluster, origins, Pleiades, stars, Story, variable stars
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Nālika-s
The first week of college had ended. Vidrum was returning from an eatery with his new friend Manjukeshi after an early supper. The two of them were rather surprised by the ferocious competitiveness of their classmates. Some refused to discuss … Continue reading
The first three squareable Lunes
For the sake of some readers we shall first define a lune: A lune is a concave closed region bounded by two circular arcs respectively with radii and and distance between their centers as , where . This region looks … Continue reading
Posted in art, Life, Scientific ramblings
Tagged area, circle, circumcenter, Geometric construction, geometry, lune, mathematics, quadrature of circle, squaring a circle
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The salinon
The yavana Archimedes or some later commentator of his among the Neo-Platonists of Harran described a figure they called the salinon, which was supposed to mean a “salt-cellar”. This material was acquired by the Mohammedans from those Neo-Platonists from whom … Continue reading
Posted in Life, Scientific ramblings
Tagged Archimedes, Geometric construction, geometry, mathematics, Neoplatonism, salinon
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van Aubel’s theorem
The van Aubel’s theorem is a simple theorem which is comparable to the theorem attributed to the French conqueror Napoleon Bonaparte regarding triangles. It is easy to prove once you know the upāya, even as the yogin-s would say ānanda … Continue reading
Posted in art, Life, Scientific ramblings
Tagged Geometric construction, geometry, mathematics, philosophy, triangles, trigonometry, van Aubel
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Ovals, drops, tops, eights, pears and the like
Ovals, drops, tops, eights, pears and the like This piece may be seen as a continuation of the earlier one on our journey through the world of ovals. As it needed a lot of figures and some mathematical notation it … Continue reading
Posted in art, Life, Scientific ramblings
Tagged curves, evolutes, Geometric construction, geometry, leminiscates, mathematics, ovals, pedal curves, piriform
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svabhāṣāyāṃ śāstrīyā śikṣā
As PDF navame varṣe lūtikā tasyāḥ pañca-varṣīyāyai anujāyai varolyai dravyaśāstram aśikṣayat | lūtikā ‘vadat : “priye varoli dhyānena kārṇārpaṇaṃ kuru | atha vakṣyāmy amla-kṣāra-siddhāntaṃ ca lavaṇīkaraṇasya prayogaṃ ca | purve kāle svastyātreyeṇa+asmadīyena dravyavidā+amla-kṣāra-siddhāntaḥ proktaḥ | kāle ‘smin amla-kṣāra-siddhānto arrheniyas ca … Continue reading
Posted in art, Life, Scientific ramblings
Tagged astronomy, chemistry, education, Sanskrit, Story
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The giants among the lilliputs
For long, despite protestations and assertions to the contrary, people have known that men are all not born equal. There are few men who tower over the rest in one or more of the axes of distinction. For over a … Continue reading
Posted in Heathen thought, History, Life, Scientific ramblings
Tagged ancestors, ancient Hindu thought, Aryan, Hindu, Indo-Aryan, males, Y-chromosome
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The astroid, the deltoid and the fish within the fish
As this article needed a lot of figures with some mathematical notation it is being presented as a PDF file: The astroid, the deltoid and the fish within the fish
A biographical journey from conics to ovals
As this article needed a lot of figures with some mathematical notation it is being presented as a PDF file: A biographical journey from conics to ovals This may be read a continuation of earlier notes such as: Ovals, drops, tops … Continue reading
mAnasa-taraMgiNI 