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Hexagonal paper shows regular hexagons instead of squares. These can be used to map geometric tiled or tesselated designs among other uses. Isometric graph paper or 3D graph paper is a triangular graph paper which uses a series of three guidelines forming a 60° grid of small triangles. The triangles are arranged in groups of six to make hexagons.
An overlapping circles grid is a geometric pattern of repeating, overlapping circles of an equal radius in two-dimensional space. Commonly, designs are based on circles centered on triangles (with the simple, two circle form named vesica piscis ) or on the square lattice pattern of points.
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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 ...
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In the classical presentation of a three-set Venn diagram as three overlapping circles, the central region (representing elements belonging to all three sets) takes the shape of a Reuleaux triangle. [3] The same three circles form one of the standard drawings of the Borromean rings, three mutually linked rings that cannot, however, be realized ...
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[3] [18] The first work of knot theory to include the Borromean rings was a catalog of knots and links compiled in 1876 by Peter Tait . [ 3 ] In recreational mathematics , the Borromean rings were popularized by Martin Gardner , who featured Seifert surfaces for the Borromean rings in his September 1961 " Mathematical Games " column in ...
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