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 RT @macranthrope: @blog_supplement I think the later Pratihara Yama image also holds the bird in his hand. Anyway it's good to see the earl… 5 hours ago
 This study looked at Gini coefficients of house sizes (a measure of inequality in the distribution) at archaeologic… twitter.com/i/web/status/9… 1 day ago
 What was the iconography of yima kShaeta the cognate of yama rAjan of the Aryas? This coin, now apparently lost sh… twitter.com/i/web/status/9… 1 day ago
 RT @Rjrasva: Altai Kai (Turkic Throat Singing) youtube.com/watch?v=sYUTPH… 1 day ago
 If my survey is right huviShka is the kuShana with the most coins featuring kumAra. Here he is seen seated holding… twitter.com/i/web/status/9… 2 days ago
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Recent Posts
 Of lives of men; of times of menIII
 Pattern formation in coupled map lattices with the circle map, tanh map, and Chebyshev map
 Some novel observations concerning quadratic roots and fractal sequences
 Of lives of men; of times of menII
 Of lives of men; of times of menI
 The incredible beauty of certain Hamiltonian mappings
 Triangles, Hexes and Cubes
 The story of the Orissan cyclevālā
 Godhūmo vijayate
 A note on tales of fratricide, warfare, cannibalism and incest
 The SatijaKetoja system
 Some simple maps specifying strange attractors
 A rambling talk on the śaiva mantra tradition
 Citrabhānu’s cubes
 Make your own sky map
 A note on Cepheid variables: reproducing the study of the periodluminosity laws
 The apparition of the Scottish surgeon
 The Meru and Nārāyaṇa’s cows: Words and fractals
 Hofstadter and Nārāyaṇa: connections across space and time
 Wisdom from a tag system
 A note on the cow, the horse and the chariot in the Ṛgveda
 Median and pedal triangles and derived fractals: an introductory account
 Mongolica: Chingiz Khan and the rest
 Braided power: a brief note on the last great steppe power: the MongolManchu system
 Means and conics
 The Rāmāyaṇa and a paraRāmāyaṇa in numbersII: Evolving early IndoAryan warfare
 The square root spiral and the Gamma function: entwined analogies
 Leaves from the scrapbook2
 A note on the asterisms forming the nakṣatras
 Journeying through the fractal slopes of mount Meru with twoseeded recursive sequences
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Tag Archives: 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 selfevident 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: Selfevident 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 stuff2
Related stuff: Golden Ratio0 Golden Ratio1 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, LotkaVolterra, 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 yogins 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, ninepoint circle, orthocenter, Spieker point, triangles