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Rolling cone motion is the rolling motion generated by a cone rolling over another cone. In rolling cone motion, at least one of the cones is convex , while the other cone may be either convex, or concave, or a flat surface (a flat surface can be regarded as a special case of a cone whose apex angle equals π {\displaystyle \pi } ).
In geometry, a polycon is a kind of a developable roller.It is made of identical pieces of a cone whose apex angle equals the angle of an even sided regular polygon. [1] [2] In principle, there are infinitely many polycons, as many as there are even sided regular polygons. [3]
It consists of a trapezoidal veneered wooden frame with two brass rails, and a pair of brass cones joined at their bases by a wooden disk which rests on the rails. When the double cone is placed at the low end of the frame, it automatically starts to roll upward, giving the impression of escaping the universal law of the gravitational force .
Despite the mechanical flaws of the stepped reckoner, it suggested possibilities to future calculator builders. The operating mechanism, invented by Leibniz, called the stepped cylinder or Leibniz wheel, was used in many calculating machines for 200 years, and into the 1970s with the Curta hand calculator.
The Fuller calculator, sometimes called Fuller's cylindrical slide rule, is a cylindrical slide rule with a helical main scale taking 50 turns around the cylinder. This creates an instrument of considerable precision – it is equivalent to a traditional slide rule 25.40 metres (1,000 inches) long.
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A second-order cone program (SOCP) is a convex optimization problem of the form minimize subject to ‖ + ‖ +, =, …, = where the ...
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