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- Interesting points made by the speakers: youtube.com/watch?v=eqCNTo… e.g. increase in rates of female-specific self har… twitter.com/i/web/status/1… 2 hours ago
- Giving MDMA to octopi and enhances sociality: sciencedirect.com/science/articl… Old roots of serotonin signaling in sociality. 4 hours ago
- Apart from self-congratulatory celebration of mediocrity &ignorance, 1 of the issues that plagues the H mass is pro… twitter.com/i/web/status/1… 4 hours ago
- A peculiar vaiShNava rendering of the mahApurANa-s and their bulk in 1800 CE for the king of jaipur. https://t.co/v2jLB8npQy 5 hours ago
- A viShNu from the pratihAra empire https://t.co/YsqUqciohW 5 hours ago
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- A brief overview of the last campaign of Chingiz Khan and the issue of succession in the Mongol empire
- The mean hyperbola and other mean functions
- A Political roundup August 15 2018
- The geometric principles behind discrete dynamical systems based on the generalized Witch of Agnesi
- Reflections on our journey through the aliquot sums and sequences
- The ghost in the tattered Gattermann
- The hearts and the intrinsic Cassinian curve of an ellipse
- The mathematics class
- Residues of squares, sequence curiosities and parabolas galore
- A poll on peoples’ beliefs on reincarnation
- Making of a modern-day mantra-śāstra pamphlet
- Some words on mathematical truth, scientific conviction and the sociology of science
- A note on the least prime divisor sequences of 2p plus or minus 1
- A note on āmreḍita-s in the Ṛgveda and issues of word distribution
- The amazonian banana republic: the strī-rājya in Hindu tradition
- Sītā in the pyre
- A sequence related to prime counting
- Convergence to a palindrome
- A problem from 600 CE and some curiosities of Āryabhaṭa’s kuṭṭaka algorithm
- A brief note on some new developments regarding the genomics of Indians
- The remarkable behavior of a map displaying derived from a simple model for a biological conflict
- A day at school
- Mongolica: Qubilai Khan’s campaign to destroy the Southern Song
- The quotient triangle, the parabola-hyperbola sequence, the remainder triangle and perfect numbers
- Counting primes, arithmetic functions, Ramanujan and the like
- Our auto-discovery of the Möbius and Mertens sequences
- Mongolica: Knowledge preservation and generation, Bolad Aqa and the like
- Civilizational collapse, complexity, innovation and neomania
- Astronomical experiments: a preliminary look at globular clusters
- Frustrations and ramblings ensuing from Cretaceous amber
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Tag Archives: triangles
Residues of squares, sequence curiosities and parabolas galore
Squares and their residues This is an exploration of number triangles in the same vein as some other such we have previously described . It resulted in some observations that seemed interesting to us. Some are perhaps trivial but some … Continue reading
Posted in Scientific ramblings
Tagged mathematical entity, mathematics, numbers, square root, squares, triangles
Median and pedal triangles and derived fractals: an introductory account
It is rather easily seen that joining the midpoints of the sides of a triangle yields four congruent triangles that in turn are similar to the original triangle (Figure 1). This figure might be used to provided a self-evident geometric … Continue reading
Posted in art, Scientific ramblings
Tagged fractal, fractals, Geometric construction, geometry, mathematics, triangles
Infinite bisections required for trisection of an angle
Figure 1: Self-evident demonstration of Figure 2: Application of the same as serial bisections to trisect the angle. In the example chosen here we have . In ten steps we get to which is a pretty close, though in principle … Continue reading
Posted in art, Scientific ramblings
Tagged Geometric construction, geometry, mathematics, recreational geometry, series sum, triangles, trisection
Some meanderings among golden stuff-2
Related stuff: Golden Ratio-0 Golden Ratio-1 If the golden ratio can fascinate erudite men of high IQ then what to say of simpletons like us. Hence, we shall here talk about some more trivia in this regard. The golden ratio … Continue reading
Posted in art, Scientific ramblings
Tagged Geometric construction, geometry, Golden Ratio, mathematics, recreational geometry, triangles, trigonometry
Leaves from the scrapbook
There were extensive memoirs in the form of electronic scrapbooks of Somakhya, Lootika and some members of their circle. Those in the know read the available excerpts due to matters of considerable interest being recorded in them. Other parts were … Continue reading
Posted in art, Life
Tagged chaos, Geometric construction, geometry, ghost, ghosts, Lotka-Volterra, population dynamics, Story, triangles, trigonometry, trisection
van Aubel’s theorem
The van Aubel’s theorem is a simple theorem which is comparable to the theorem attributed to the French conqueror Napoleon Bonaparte regarding triangles. It is easy to prove once you know the upāya, even as the yogin-s would say ānanda … Continue reading
Posted in art, Life, Scientific ramblings
Tagged Geometric construction, geometry, mathematics, philosophy, triangles, trigonometry, van Aubel
Some trivia on equilateral triangles and the like
One may ask why one needs to revisit elementary geometry that was usually studied at secondary school. The simple answer is it is a good recreation. But it is not like any recreation, because it also opens the doors to … Continue reading
Posted in art, Life, Scientific ramblings
Tagged centroid, circumcenter, conics, Euler line, incenter, Kiepert hyperbola, Nagel line, Nagel point, Napoleon, nine-point circle, orthocenter, Spieker point, triangles
