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 Hope H take the necessary lessons from their hero devakIputra when celebrating his birthday 1 day ago
 A biology quiz: What is this organism and name some of groups of living organisms that are closely related to it. https://t.co/CWmnq7H6nT 1 day ago
 What is the ratio of the areas under the three curves here? If you are more curious for what power of x will the a… twitter.com/i/web/status/1… 1 day ago
 A good talk on the ills of medical research: endorse it youtube.com/watch?v=N63skN… 1 day ago
 Biology quiz: what group of organisms is this structure from. https://t.co/6GxMFoFLZp 2 days ago
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 Big fruits and dead giants
 Pearl necklaces for Maheśvara
 Nārāyaṇa’s sequence, Mādhava’s series and pi
 Discovering bronze in the characteristic ellipse of right triangles
 Matters of religion: the Vāyavīyaṃ Kauberavratam
 The Platonic culmination of Euclid and the pentagonhexagondecagon identity
 Leaves from the scrapbook4
 From Plato to Euler and back
 Śivagaṇas and Andhakāsuravadha in the Vāmanapurāṇa
 Packing constants for polygonal fractal maps
 Cows, horses, sheep and goats
 Fraudulent science by Indians: some really bad news
 Leaves from the scrapbook3
 Mongolica: The Tangut empire
 Notes on the Bhadrasūkta, a hymn for felicity to the Vedic pantheon
 Liṅgakāmādisūtrāṇi
 Creating patterns through matrix expansion
 An apparition of Mordell
 A dinnertime conversation
 Newton’s cows
 A novel discrete map exhibiting chaotic behavior
 1859 CE and beyond: Some reflections
 Cricket in pictures
 The maṅgalācaraṇam of the Mānasollāsa
 The second strike
 Visualizing the Hindu divisibility test
 Fermat’s little theorem and the periods of the reciprocals of primes
 A layman’s overview of the arithmetic of encryption
 Divisionmultiplication parabolas, triplications, and quadratic residues
 A brief overview of the last campaign of Chingiz Khan and the issue of succession in the Mongol empire
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Tag Archives: IFS
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
Posted in art, Scientific ramblings
Tagged chaos, complex numbers, fractal, fractals, geometry, Golden Ratio, IFS, polygons, recreational geometry
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
Posted in art, Scientific ramblings
Tagged art and science, fractal, fractals, geometry, IFS, mathematics, recreational geometry
Attenuated fractality cube and octagon : Dodecahedron and decagon
Posted in art
Tagged fractals, IFS, Mandelbulb
rudrAkShas from the shuddhabhuvanAdhvans or Platonic viruses
Based on the Icosahedron mated with the Mandelbulb of power 8 Its dual, the Dodecahedron, mated with the Mandelbulb of power 8
Posted in art
Tagged dodecahedron, fractals, icosahedron, IFS, Mandelbulb, mental images, Platonic ideals, rudrAkSha, virus