Category Archives: Scientific ramblings

From Plato to Euler and back

This is primarily meant as an educational handout on some very basic theorems of geometry that one might have studied in school. Some educated adults whom we asked about these had either forgotten them or claimed to have never studied … Continue reading

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Packing constants for polygonal fractal maps

Among the very first programs which we wrote in our childhood was one to generate the famous Sierpinski triangle as an attractor using the “Chaos Game” algorithm of Barnsley. A couple of years later we returned to it generalize it … Continue reading

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Cows, horses, sheep and goats

It goes without saying that humans are what they are today because of cows, horses, sheep and goats. Hindu civilization in particular is in the very least the product for the first two, while remaining two contributed to it from … Continue reading

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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

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Devanagari PDF version .. Sūtrapāṭhaḥ .. atha liṅga-kāmādi-sūtrāṇi vyākhyāsyāmaḥ . jīvasūtrāṇunām anukrameṣu parimeyā vikārā jīvā-paramparāyā+avaśyam . jantvoḥ saṃgrāmas tasya paramaṃ kāraṇam . tasmād ajāyata jīvasūtrāṇunāṃ vyūḍhīkaraṇam . RecA-nāma jīvakāryāṇu-kulaṃ jīvasūtrāṇunāṃ vyūḍhīkaraṇaṃ karoti . mukhyaśo ‘nagnijīvasūtrāṇunām . anagnijīvasūtrāṇu-mithunayor maithunāt . idam … Continue reading

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Creating patterns through matrix expansion

People who are seriously interested in emergent complexity and pattern formation might at some point discover matrix expansion for themselves. It is a version of string rewriting that allows one to create complex patterns. For me, the inspiration came from … Continue reading

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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

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