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2. Farey sequence - Wikipedia

   en.wikipedia.org/wiki/Farey_sequence

   For every fraction p / q (in its lowest terms) there is a Ford circle C[p / q], which is the circle with radius 1/(2q 2) and centre at (p / q, 1 / 2q 2 ). Two Ford circles for different fractions are either disjoint or they are tangent to one another—two Ford circles never intersect. If 0 < p / q < 1 then the Ford circles that are tangent to ...

3. Circle packing - Wikipedia

   en.wikipedia.org/wiki/Circle_packing

   A compact binary circle packing with the most similarly sized circles possible. It is also the densest possible packing of discs with this size ratio (ratio of 0.6375559772 with packing fraction (area density) of 0.910683). There are also a range of problems which permit the sizes of the circles to be non-uniform.

4. Julia set - Wikipedia

   en.wikipedia.org/wiki/Julia_set

   For () = the Julia set is the unit circle and on this the iteration is given by doubling of angles (an operation that is chaotic on the points whose argument is not a rational fraction of ). There are two Fatou domains: the interior and the exterior of the circle, with iteration towards 0 and ∞, respectively.

5. Duty cycle - Wikipedia

   en.wikipedia.org/wiki/Duty_cycle

   Duty cycle. The duty cycle is defined as the ratio between the pulse duration, or pulse width ( ) and the period ( ) of a rectangular waveform. Spectrum in relation to duty cycle. A duty cycle or power cycle is the fraction of one period in which a signal or system is active. [1] [2] [3] Duty cycle is commonly expressed as a percentage or a ratio.

6. Packing problems - Wikipedia

   en.wikipedia.org/wiki/Packing_problems

   Packing squares in a square: Optimal solutions have been proven for n from 1-10, 14-16, 22-25, 33-36, 62-64, 79-81, 98-100, and any square integer. The wasted space is asymptotically O(a 3/5). Packing squares in a circle: Good solutions are known for n ≤ 35. The optimal packing of 10 squares in a square; Packing of rectangles

7. DeceiveD WisDom - images.huffingtonpost.com

   images.huffingtonpost.com/2012-11-22-deceived...

   Print ISBN: 978-1-908739-34-6 Epub ISBN: 9781908739353 Mobi ISBN: 9781908739360 ... They carefully cut out circles of white paper, fold them into halves, quarters and ...