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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
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Tag Archives: Geometric construction
Hofstadter and Nārāyaṇa: connections across space and time
The scientist-philosopher Douglas Hofstadter presents an interesting single-seeded 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
Posted in art, Scientific ramblings
Tagged conic sections, conics, fractal, fractals, Geometric construction, geometry, Golden Ratio, Hofstader, mathematics, recreational geometry, recursion, sequence
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
Means and conics
By the time one reaches high school one learns that: (i) there are four means that one might find some use of in life (I know there are more though they are hardly used) – the arithmetic mean which is … Continue reading
Leaves from the scrapbook-2
As described here these entries are from the scrapbook of Somakhya. Entry 11; Arasa, year Pramādin of the first cycle: It was our first day at Kshayadrajanagara. I had exhausted all that was there to talk with my cousins Mandara … Continue reading
Posted in Heathen thought, Life, Scientific ramblings
Tagged ellipse, Geometric construction, geometry, recreational geometry, Story
Cobwebs on the golden hyperbola and parabola
The material presented here is rather trivial to those who have spent even a small time looking at chaotic systems. Nevertheless, we found it instructive when we first discovered it for ourselves while studying conics. Hence, as part of recording … Continue reading
Posted in Scientific ramblings
Tagged chaos, fractal, Geometric construction, geometry, hyperbola, mathematical entity, mathematics, parabola, recreational geometry
bhujā-koṭi-karṇa-nyāyaḥ koṭijyā-nyāyaś ca
bhujā-koṭi-karṇa-nyāyaḥ koṭijyā-nyāyaḥ
Posted in art, Scientific ramblings
Tagged Geometric construction, geometry, mathematics, recreational geometry
The two squares theorem
I do not know who might have discovered this simple relationship first. I stumbled upon it while drawing figures in the notebook during a seminar. Take any two squares such that they are joined at one side and the two … Continue reading
Posted in art, Scientific ramblings
Tagged cuboid, Geometric construction, geometry, linear, mathematics, recreational geometry, square
