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Gaps in a sphere-packing proof?

Article Abstract:

Mathematician Wu-Yi Hsiang has developed a revised version of his proof of Johannes Kepler's statement that the densest possible packing of spheres is the face-centered cubic arrangement. Hsiang believes that the shorter revised proof corrects the errors in the original version.

Author: Cipra, Barry
Publisher: American Association for the Advancement of Science
Publication Name: Science
Subject: Science and technology
ISSN: 0036-8075
Year: 1993
Innovations, Mathematical logic, Symbolic and mathematical logic, Wu-Yi Hsiang

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Will a computer checkmate a chess champion at last?

Article Abstract:

Chess champion Gary Kasparov and an IBM computer chess program called Big Blue will play a six-game match in Feb 1996. The Big Blue program is designed to take advantage of computing speed and precision and has the ability to look 15 moves ahead.

Author: Cipra, Barry
Publisher: American Association for the Advancement of Science
Publication Name: Science
Subject: Science and technology
ISSN: 0036-8075
Year: 1996
Competitions, Computer chess, Kasparov, Garry, Association for Computing Machinery

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How to play Platonic billiards

Article Abstract:

Mathematician Matthew Hudelson has calculated trajectories of a cue ball within Platonic solids up to the 20-sided icosahedron. The trajectories will return the ball to its starting point and travel direction.

Author: Cipra, Barry
Publisher: American Association for the Advancement of Science
Publication Name: Science
Subject: Science and technology
ISSN: 0036-8075
Year: 1997
Research, Billiards

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Subjects list: Euclidean geometry, Geometry, Solid
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