
Pages
Categories
Search this Blog
Archives
mAnasataraMgiNI supplement
 RT @Sapratha: List of identifiable H treatises on medicine, astronomy and mathematics translated under or before the Sui Dynasty [581–618 A… 18 hours ago
 The storming of the citadels of science, tech& medicine in the occident by navyonmAda is no surprise to its careful… twitter.com/i/web/status/1… 1 day ago
 schwa deletion is an abomination twitter.com/krithikasivasw… 1 day ago
 Interesting set of coins from what's today Burma with a triple li~Nga a fish. A shaiva trident symbol. garuDa. An I… twitter.com/i/web/status/1… 1 day ago
 RT @Rjrasva: Cultural History of Late Tokugawa Japan Trent Maxey, associate professor, Departments of History and Asian Languages and Civil… 1 day 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 
Pages
Categories
Search this Blog
Archives
mAnasataraMgiNI supplement
 RT @Sapratha: List of identifiable H treatises on medicine, astronomy and mathematics translated under or before the Sui Dynasty [581–618 A… 18 hours ago
 The storming of the citadels of science, tech& medicine in the occident by navyonmAda is no surprise to its careful… twitter.com/i/web/status/1… 1 day ago
 schwa deletion is an abomination twitter.com/krithikasivasw… 1 day ago
 Interesting set of coins from what's today Burma with a triple li~Nga a fish. A shaiva trident symbol. garuDa. An I… twitter.com/i/web/status/1… 1 day ago
 RT @Rjrasva: Cultural History of Late Tokugawa Japan Trent Maxey, associate professor, Departments of History and Asian Languages and Civil… 1 day 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: recursion
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
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
Leave a comment
The incredible beauty of certain Hamiltonian mappings
In our teens we studied Hamiltonian functions a little bit as part of our attempt to understand classical and quantum physics. A byproduct of it was a superficial interest in the geometry of some of the mappings arising from such … Continue reading
Posted in art, Scientific ramblings
Tagged fractal, fractals, geometry, Hamiltonian, mathematical entity, mathematics, Oscillator, physics, recreational geometry, recursion
Leave a comment
The Meru and Nārāyaṇa’s cows: Words and fractals
The fractals described herein are based on and inspired by the work of the mathematicians Rauzy, MendesFrance, Monnerot and Knuth. Some their works, especially the first of them, are dense with formalism. Here we present in simple terms the means … Continue reading
Hofstadter and Nārāyaṇa: connections across space and time
The scientistphilosopher Douglas Hofstadter presents an interesting singleseeded sequence H in his book ‘Gödel, Escher, Bach: An Eternal Golden Braid’. It is generated by the recurrence relation, where …(1) Working it out one can see that it takes the form: … Continue reading
The square root spiral and the Gamma function: entwined analogies
The topic discussed here is something on which considerable serious mathematical literature has published by P.J Davis, W. Gautschi and others. This partly historical narration is just a personal account of our journey through the same as a nonmathematician. As … Continue reading
Journeying through the fractal slopes of mount Meru with twoseeded recursive sequences
The Hindus have been fascinated by sequences and series from the beginning of their civilizational memory recorded in the Veda. This continues down to the medieval mathematician Nārāyaṇa paṇḍita, who discovered a general formula (sāmāsika paṅkti) that can be to obtain the … Continue reading
Posted in art, Scientific ramblings
Tagged fractal, fractals, Golden Ratio, Hofstadter, mathematics, recreational geometry, recursion
Leave a comment
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
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 selfsimilarity over all scales could be generated by a rather … Continue reading
Posted in art, Life, Scientific ramblings
Tagged biology, developmental biology, evodevo, evolution, fractal, fractals, geometry, mathematics, recreational geometry, recursion, science, temple
Leave a comment
A journey through fractal objects
Posted in art
Tagged 3D Julia, fractal, fractals, geometry, Mandelbrot, recreational geometry, recursion
Leave a comment
Polygonal recursion
Also see this
aShTatva nidarshanaM
Posted in art
Tagged context free, eightfold symmetry, fractal, recursion, rotation, translation
Leave a comment