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The design can be expanded ad infinitum depending upon the number of times the odd-numbered points are marked off." The pattern figure can be drawn by pen and compass, by creating multiple series of interlinking circles of the same diameter touching the previous circle's center. The second circle is centered at any point on the first circle.
The tomoe appears in many designs with various uses. The simplest, most common patterns of the device contain from one to four tomoe, and are reminiscent of similar designs that have been found in wide distribution around the world. When circumscribed in a circle, it often appears in a set of three, with this design known as the mitsudomoe ...
A sun cross, solar cross, or wheel cross is a solar symbol consisting of an equilateral cross inside a circle. The design is frequently found in the symbolism of prehistoric cultures, particularly during the Neolithic to Bronze Age periods of European prehistory.
The second circle is centered at any point on the first circle. All following circles are centered on the intersection of two other circles. The design is sometimes expanded into a regular overlapping circles grid. Bartfeld (2005) describes the construction: "This design consists of circles having a 1-[inch] radius, with each point of ...
Ensō (c. 2000) by Kanjuro Shibata XX.Some artists draw ensō with an opening in the circle, while others close the circle.. In Zen art, an ensō (円 相, "circular form") [1] is a circle hand-drawn in one or two uninhibited brushstrokes to express the Zen mind, which is associated with enlightenment, emptiness, freedom, and the state of no-mind.
Circle packing has become an essential tool in origami design, as each appendage on an origami figure requires a circle of paper. [12] Robert J. Lang has used the mathematics of circle packing to develop computer programs that aid in the design of complex origami figures.
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Consider a circle P with center O and a point A which may lie inside or outside the circle P. Take the intersection point C of the ray OA with the circle P. Connect the point C with an arbitrary point B on the circle P (different from C and from the point on P antipodal to C) Let h be the reflection of ray BA in line BC. Then h cuts ray OC in a ...