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 A verbose new disclaimer regarding our writings is up: manasataramgini.wordpress.com/about/ 14 hours ago
 A favorite I'vent eaten in years twitter.com/boseofjapan/st… 15 hours ago
 The American effort toward protecting Indian women https://t.co/rmlgtAA4FG 15 hours ago
 I understand we as ever still playing cricket with Mohd cousins across border. mlechChas are excitement about some… twitter.com/i/web/status/8… 15 hours ago
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Recent Posts
 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
 “Like the vidyādhara’s sword”
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Tag Archives: trigonometry
Sine rugs
Consider a square lattice with uniform vertical and horizontal spacing of a quantum . This can be represented as an array of complex numbers of the form: . For our purposes we chose . Thus the lattice comprises of all … Continue reading
Posted in art, Scientific ramblings
Tagged art, complex variable, geometry, recreational geometry, trigonometry
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
Euler’s squares
On account of our fascination with the geometry of origami (albeit not wellendowed in mathematical capacity) we discovered for ourselves shortly after our father had taught us trigonometry that, We had earlier shown the origami proof for that. But it … Continue reading
Posted in Scientific ramblings
Tagged Euler, Geometric construction, geometry, Golden Ratio, mathematics, pi, recreational geometry, square, trigonometry
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
Āryabhaṭa and his sine table
Everyone and his son have written about Āryabhaṭa and his sine table. Yet we too do this because sometimes the situation arises where you have to explain things clearly to a layman who might have some education but is unfamiliar … Continue reading
Posted in Heathen thought, History, Scientific ramblings
Tagged AryabhaTa, astronomy, Hindu mathematics, Hindu science, history of science, mathematics, siddhAnta, sine table, sines, trigonometry
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