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- 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 Mongol-Manchu system
- Means and conics
- The Rāmāyaṇa and a para-Rāmāyaṇa in numbers-II: Evolving early Indo-Aryan warfare
- The square root spiral and the Gamma function: entwined analogies
- Leaves from the scrapbook-2
- A note on the asterisms forming the nakṣatra-s
- Journeying through the fractal slopes of mount Meru with two-seeded recursive sequences
- Some pictures relating to incidence of tuberculosis and AIDS
- Cobwebs on the golden hyperbola and parabola
- bhujā-koṭi-karṇa-nyāyaḥ koṭijyā-nyāyaś ca
- Some personal reflections on Carl Gauss, Bernhard Riemann and associated matters
- The two squares theorem
- Constructing a regular heptagon with hyperbola and parabola
- Infinite bisections required for trisection of an angle
- Sine rugs
- Doubling the cube with ellipses
- A superficial look at national population density and some life history features
- Some biological analogies for certain sociopolitical issues
- The magic of the deva-ogdoad
- Marching onward in the American spring but where to?
- The upper story in a few pictures
- Trigonometric tangles-3: the fractals
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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 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
