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 O gods of heaven and earth! This thing exceeds all expectations: tell me about Shingopana https://t.co/mrfyoyGfau 7 hours ago
 The Mesozoic trainwreck piles up: Shidaisaurus, Diandongosaurus, Diandongosuchus...🤯 twitter.com/blog_supplemen… https://t.co/WFiAtsfnCo 8 hours ago
 The Eulerian spiral integrals https://t.co/HAp6xm3Rtv 10 hours ago
 It seems to miss the fact that many dinosaurs are still around 👀 https://t.co/WT0UXkzj6f 11 hours ago
 Note the word Hindu or Arya is not mentioned even once. Gives an insight into the Occidental attitudes that H need… twitter.com/i/web/status/1… 11 hours ago
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 Some ruminations on asteroids and meteoritic falls
 Comet C/2022 E3 (ZTF)
 The Vyomavyāpin in the Pāśupatatantra and a discursion on ninefold Rudramantras
 BhāskaraII’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 stotras, 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 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

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March 2023 M T W T F S S 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 
Pages
Categories
Search this Blog
Archives
mAnasataraMgiNI supplement
 O gods of heaven and earth! This thing exceeds all expectations: tell me about Shingopana https://t.co/mrfyoyGfau 7 hours ago
 The Mesozoic trainwreck piles up: Shidaisaurus, Diandongosaurus, Diandongosuchus...🤯 twitter.com/blog_supplemen… https://t.co/WFiAtsfnCo 8 hours ago
 The Eulerian spiral integrals https://t.co/HAp6xm3Rtv 10 hours ago
 It seems to miss the fact that many dinosaurs are still around 👀 https://t.co/WT0UXkzj6f 11 hours ago
 Note the word Hindu or Arya is not mentioned even once. Gives an insight into the Occidental attitudes that H need… twitter.com/i/web/status/1… 11 hours ago
Top Posts

Recent Posts
 Some ruminations on asteroids and meteoritic falls
 Comet C/2022 E3 (ZTF)
 The Vyomavyāpin in the Pāśupatatantra and a discursion on ninefold Rudramantras
 BhāskaraII’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 stotras, 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 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

Join 699 other subscribers
Meta
March 2023 M T W T F S S 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
Tag Archives: curves
The shape of dinosaur eggs
Readers of these pages will know that we have a special interest in the geometry of ovals. One of the longstanding problems in this regard is: what is the curve that best describes the shape of a dinosaurian egg? While … Continue reading
A guillochelike trigonometric tangle
Coprimality, i.e., the situation where the GCD of 2 integers is 1 is one of the fundamental expressions of complexity. In that situation, two numbers can never contain the other within themselves or in multiples of them by numbers smaller … Continue reading
Posted in art, Scientific ramblings
Tagged arithmetic, curves, mathematical entity, mathematics, prime numbers, recreational geometry, spirograph, trigonometry
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Some notes on the HenonHeiles Hamiltonian system
Anyone familiar with dynamical systems knows of the HenonHeiles (HH) system. What we are presenting here is wellknown stuff about which reams of material have been written. However, we offer certain tricks for visualizing this system that make it easy … Continue reading
Chaos, eruptions and rootconvergence in onedimensional maps based on metallicsequence generating functions
bronze_bouncer Over the years we have observed or encountered certain natural phenomena that are characterized by rare, sudden eruptive behavior occurring against a background of very low amplitude fluctuations. We first encountered this in astronomy: most remarkably, in the constellation … Continue reading
Posted in Scientific ramblings
Tagged Bronze ratio, chaos, chaotic maps, Copper Ration, curves, fractals, geometry, Golden Ratio, mathematics, recreational geometry, recursion, sequence, Silver Ratio
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The mean hyperbola and other mean functions
Let be two numbers such that, We use to construct a specific rectangular hyperbola using one of the following methods: MethodI (Figure 1: this is based on an approach we described earlier) Figure 1 1) Mark point , which will … Continue reading
The hearts and the intrinsic Cassinian curve of an ellipse
Introduction This investigation began with our exploration of pedal curves during the vacation following our university entrance exams in the days of our youth. It led to us discovering for ourselves certain interesting heartshaped curves, which are distinct from the … Continue reading
Posted in Scientific ramblings
Tagged circle, conic sections, conics, curves, ellipse, Geometric construction, geometry, heartcurve, hyperbola, ovals, parabola, recreational geometry
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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
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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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
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 (SHM) to construct four distinct loci with common procedure. They … Continue reading
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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