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S Ranganathan spent three decades of teaching and doing research
at the IIT, Kanpur. He has continued these activities with equal
vigour, earlier at RRL, Trivandrum and now at IICT, Hyderabad, where
he is a distinguished scientist. His current fascination is with
chemical biology.
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We have taken the modular construction of surfaces to the complexity
of an eicosahedron, which describes a surface crafted from congruence
of five equilateral triangles resulting in the inscription of a
pentagon motif. Taking any pairs of opposite poles, each pole will
have a pentagon, with the equatorial girdle harboring ten equilateral
triangles. The surface of eicosahedron, a platonic solid with twenty
equilateral triangles, can be viewed as a layering of interdigitating
regular pentagons.
Compare this in complexity with a geodesic dome, a surface as close
to sphere as you can get. Here one perceives the congruence of twelve
regular pentagons, but each constituted by 10 triangles, which are
irregular (a ¹ b ¹ c), with the neighboring module aligned
in a mirror image configuration!
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Address for Correspondence
Subramania Ranganathan
Discovery Laboratory
Indian Institute of Chemical Technology
Hyderabad 500 007, India.
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