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The pattern figure can be drawn by pen and compass, by creating seven interlinking circles of the same diameter touching the previous circle's center. 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 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.
A beam compass and a regular compass Using a compass A compass with an extension accessory for larger circles A bow compass capable of drawing the smallest possible circles. A compass, also commonly known as a pair of compasses, is a technical drawing instrument that can be used for inscribing circles or arcs.
The compass can have an arbitrarily large radius with no markings on it (unlike certain real-world compasses). Circles and circular arcs can be drawn starting from two given points: the centre and a point on the circle. The compass may or may not collapse (i.e. fold after being taken off the page, erasing its 'stored' radius).
Two circles (C2) centered at B and B', with radius AB, cross again at point C. A circle (C3) centered at C with radius AC meets (C1) at D and D'. Two circles (C4) centered at D and D' with radius AD meet at A, and at O, the sought center of (C). Note: for this to work the radius of circle (C1) must be neither too small nor too large.
Given points A, B, and C, construct a circle centered at A with the radius BC, using only a collapsing compass and no straightedge. Draw a circle centered at A and passing through B and vice versa (the blue circles). They will intersect at points D and D'. Draw circles through C with centers at D and D' (the red circles).
Invert points A and B in circle C(r) to points A' and B' respectively. Under the assumption of this case, points A', B', and C are not collinear. Find the center E of the circle passing through points C, A', and B'. Construct circle E(C), which represents the inversion of the line AB into circle C(r). P and Q are the intersection points of ...
Girih star and polygon patterns with 5- and 10-fold rotational symmetry are known to have been made as early as the 13th century. Such figures can be drawn by compass and straightedge. The first girih patterns were made by copying a pattern template on a regular grid; the pattern was drawn with compass and straightedge.