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- 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
- Leaves from the scrapbook-2
- 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
- Euler’s squares
- Trigonometric tangles-2
- Śarabha vidhi
- A prefatory narrative
- Trigonometric tangles
- Some visions of infinity from the past and our times
- Āryabhaṭa and his sine table
- Euler and Ramanujan: primes, near integers and cakravāla
- Early Hindu mathematics and the exploration of some second degree indeterminate equations
- The Rāmāyaṇa and a para-rāmāyaṇa in numbers-I: epic as religion
- The great faceless man
- loka-nīti-carcā
- Deliberations on richness and beauty: discovery of some multi-parameter iterative maps
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Tag Archives: Geometric construction
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
Constructing a regular heptagon with hyperbola and parabola
There is little doubt that Archimedes was one of the greatest yavana intellectuals. He would also figure in any list of the greatest mathematician-scientists of all times. His work on the construction of a regular heptagon has not survived the … Continue reading
Posted in art, Scientific ramblings
Tagged complex numbers, conics, Gauss, Geometric construction, geometry, Greek, heptagon, hyperbola, mathematics, parabola, polygons
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
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
Doubling the cube with ellipses
The problem of doubling of the cube which emerged in the context of the doubling of the cubical altar of the great god Apollo cannot be solved using just a straight-edge and a compass. It needs one to construct a … Continue reading
Posted in art, Scientific ramblings
Tagged conic sections, conics, Delian, Delos, doubling the cube, ellipse, Geometric construction, geometry, mathematics
