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mAnasataraMgiNI supplement
 A curious list by Gauthier sanskritimagazine.com/indianreligio… Didn't check all out but note Jaffrelot a French plant 12 hours ago
 unmattapratyunmattyoH sampAtaH  foxnews.com/opinion/2017/0… 12 hours ago
 1 may place this interaction in the context of underlying tangled skeins to get a glimpse of great geopolitical sch… twitter.com/i/web/status/8… 14 hours ago
 It seems to me that of the world leaders NM appears most resonant in his interactions with Shinzo Abe and Netanyahu 14 hours ago
 This clock ramming marUnmatta Tipu is rather remarkable because in ~500 CE great H scientist AryabhaTaI described… twitter.com/i/web/status/8… 1 day ago
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Recent Posts
 Journeying through the fractal slopes of mount Meru with twoseeded recursive sequences
 Some pictures relating to incidence of tuberculosis and AIDS
 Cobwebs on the golden hyperbola and parabola
 bhujākoṭikarṇanyāyaḥ koṭijyānyāyaś 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 scrapbook2
 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 devaogdoad
 Marching onward in the American spring but where to?
 The upper story in a few pictures
 Trigonometric tangles3: the fractals
 Euler’s squares
 Trigonometric tangles2
 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 pararāmāyaṇa in numbersI: epic as religion
 The great faceless man
 lokanīticarcā
 Deliberations on richness and beauty: discovery of some multiparameter iterative maps
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Tag Archives: curves
Trigonometric tangles3: the fractals
See also: https://manasataramgini.wordpress.com/2016/05/06/theastroidthedeltoidandthefishwithinthefish/ This exploration began in days of youth shortly after we learned about complex numbers. It culminated only much later in adulthood when we discovered for ourselves a class of fractal curves related to a celebrated curve discovered … Continue reading
Posted in art, Scientific ramblings
Tagged complex numbers, curves, epicycloid, fractal, fractals, geometry, hypocycloid, mathematical entity, mathematics, recreational geometry, recursion, Riemann, trigonometry, Weierstrass
Trigonometric tangles2
We had earlier described our exploration of the spirograph, hypocycloids, epicycloids and related curves. In course of our study of the śaiva tantras of the kaula tradition we started thinking about a remarkable piece of imagery mentioned in them. Tantras … Continue reading
Posted in art, Heathen thought, Life, Scientific ramblings
Tagged circles, circular waves, curves, epicycloid, Generative Art, hypocycloid, mathematics, religion, trigonometry
Trigonometric tangles
Let us define a define the trigonometric tangle as the following parametric function: where can be a rational number or an irrational number. and are any real number. If is a rational number and then we get a tangle petals … Continue reading
Posted in art, Scientific ramblings
Tagged curves, geometry, irrational numbers, mathematical entity, mathematics, recreational geometry, trigonometry
Knotting a string: line, parabola, conchoid and knot
The basic construction In course of studying various methods of constructing conics we stumbled upon a means of using the relationship between uniform circular motion (UCM) and simple harmonic motion (SHM) to construct four distinct loci with common procedure. They … Continue reading
Posted in art, Scientific ramblings
Tagged conchoid, curves, Geometric construction, geometry, knot, line, parabola, recreational geometry, simple harmonic motion, uniform circular motion
Ovals, drops, tops, eights, pears and the like
Ovals, drops, tops, eights, pears and the like This piece may be seen as a continuation of the earlier one on our journey through the world of ovals. As it needed a lot of figures and some mathematical notation it … Continue reading
Posted in art, Life, Scientific ramblings
Tagged curves, evolutes, Geometric construction, geometry, leminiscates, mathematics, ovals, pedal curves, piriform