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mAnasataraMgiNI supplement
 RT @Paracelsus1092: There's a distinct possibility that Late Neolithic societies had a caste system, with those of higher huntergatherer/W… 7 hours ago
 chikkA and sundarabikShu seem to be shoring up the emperor of the middle kingdom against his rebels. 7 hours ago
 Lol seems to be taking a leaf off de Nobili's "veda". 18 hours ago
 nature.com/articles/s4200…\\ A rather remarkable study. The authors propose that infection by the apicomplexan parasit… twitter.com/i/web/status/1… 22 hours ago
 RT @DavidEvans_ROM: Happy #FossilFriday— here’s the beautifully preserved skull of the strange archosauriform Vancleavea from the Coelophys… 22 hours ago
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 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 Śaṃkarasaṃhitā
 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 IndoEuropean aspects of the Anatolian tradition
 The death of Miss Lizzie Willink
 IndoEuropean expansions and iconography: revisiting the anthropomorphic stelae
 Geopolitical summary: March 2022
 Human retroviruses, sociology of science, and biographical ruminations
 Transcripts of conversations: the addiction principle:
 Phantom impressions1
 A note on Śrī, Viṣṇu and śṛṅgāra
 Are civilizational cycles the norm?
 On the rise of the mātṛkās and the goddess Cāmuṇḍā
 Huns, Uralics, and empires of the steppe
 Some observations on the LekkerkerkerZeckendorf decomposition of integers
 Subjective and objective insight
 On the passing of E.O. Wilson
 Some words on mleccha cartels
 Relationships between incircles of the “equilateral triangles in a square” system
 The Rāmāyaṇa in numbers: meters, sarga and kāṇḍa structure
 Sneha, snowstorms, the sun and the moon in enigmatic ṛks
 The strange case of the Āpastamba sprite

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Pages
Categories
Search this Blog
Archives
mAnasataraMgiNI supplement
 RT @Paracelsus1092: There's a distinct possibility that Late Neolithic societies had a caste system, with those of higher huntergatherer/W… 7 hours ago
 chikkA and sundarabikShu seem to be shoring up the emperor of the middle kingdom against his rebels. 7 hours ago
 Lol seems to be taking a leaf off de Nobili's "veda". 18 hours ago
 nature.com/articles/s4200…\\ A rather remarkable study. The authors propose that infection by the apicomplexan parasit… twitter.com/i/web/status/1… 22 hours ago
 RT @DavidEvans_ROM: Happy #FossilFriday— here’s the beautifully preserved skull of the strange archosauriform Vancleavea from the Coelophys… 22 hours ago
Top Posts

Recent Posts
 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 Śaṃkarasaṃhitā
 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 IndoEuropean aspects of the Anatolian tradition
 The death of Miss Lizzie Willink
 IndoEuropean expansions and iconography: revisiting the anthropomorphic stelae
 Geopolitical summary: March 2022
 Human retroviruses, sociology of science, and biographical ruminations
 Transcripts of conversations: the addiction principle:
 Phantom impressions1
 A note on Śrī, Viṣṇu and śṛṅgāra
 Are civilizational cycles the norm?
 On the rise of the mātṛkās and the goddess Cāmuṇḍā
 Huns, Uralics, and empires of the steppe
 Some observations on the LekkerkerkerZeckendorf decomposition of integers
 Subjective and objective insight
 On the passing of E.O. Wilson
 Some words on mleccha cartels
 Relationships between incircles of the “equilateral triangles in a square” system
 The Rāmāyaṇa in numbers: meters, sarga and kāṇḍa structure
 Sneha, snowstorms, the sun and the moon in enigmatic ṛks
 The strange case of the Āpastamba sprite

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Monthly Archives: April 2017
Trigonometric tangles3: the fractals
See also: https://manasataramgini.wordpress.com/2016/05/06/theastroidthedeltoidandthefishwithinthefish/ This exploration began in days of youth shortly after we learned about complex numbers. It culminated only much later in adulthood when we discovered for ourselves a class of fractal curves related to a celebrated curve discovered … Continue reading
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
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Trigonometric tangles2
We had earlier described our exploration of the spirograph, hypocycloids, epicycloids and related curves. In course of our study of the śaiva tantras of the kaula tradition we started thinking about a remarkable piece of imagery mentioned in them. Tantras … 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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Śarabha vidhi
The account of this rite continues from the prefatory narrative. Lootika: “There are several ways in which Rudra is worshipped as Śarabha conceived as the great dinosaur. We shall follow the way which is appropriate for us brāhmaṇas who observe … Continue reading
Posted in Heathen thought
Tagged maNDala, mantra, mantrasAdhana, mantrashAstra, religion, shaiva, sharabha, Story, tantra
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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
Trigonometric tangles
Let us define a define the trigonometric tangle as the following parametric function: where can be a rational number or an irrational number. and are any real number. If is a rational number and then we get a tangle petals … Continue reading