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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: geometry
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
bhujākoṭikarṇanyāyaḥ koṭijyānyāyaś ca
bhujākoṭikarṇanyāyaḥ koṭijyānyāyaḥ
Posted in art, Scientific ramblings
Tagged Geometric construction, geometry, mathematics, recreational geometry
Some personal reflections on Carl Gauss, Bernhard Riemann and associated matters
The biochemist Albert SzentGyörgyi had famously remarked that as he successively, journeyed for a better understanding of life from cell biology, to physiology, to pharmacology, to bacteriology, to biochemistry, to physical chemistry to quantum mechanics he lost life between his … Continue reading
Posted in History, Life, Scientific ramblings
Tagged Einstein, Euclid, Gauss, geometry, Greek thought, Noneuclidean geometry, Riemann
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 mathematicianscientists 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: Selfevident 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
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