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The commonly-used diagram for the Borromean rings consists of three equal circles centered at the points of an equilateral triangle, close enough together that their interiors have a common intersection (such as in a Venn diagram or the three circles used to define the Reuleaux triangle).
Printable version; Page information; Get shortened URL; Download QR code; ... 3 circle Venn diagrams have 2 3 = 8 areas, like this one: Date: 20 March 2008: Source ...
A Venn diagram, also called a set diagram or logic diagram, shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set.
Expanding sets have 1, 7, 19, 37, 61, 91, 127, etc. circles, and continuing ever larger hexagonal rings of circles. The number of circles is n 3-(n-1) 3 =3n 2-3n+1=3n(n-1)+1. These overlapping circles can also be seen as a projection of an n-unit cube of spheres in 3-dimensional space, viewed on the diagonal axis. There are more spheres than ...
Printable version; Page information; ... A Venn diagram with n = 3. I wrote a program to draw these: en:User: ... Overlapping circles grid;
Composite of two pages from Venn (1881a), pp. 115–116 showing his example of how to convert a syllogism of three parts into his type of diagram; Venn calls the circles "Eulerian circles" [10] But nevertheless, he contended, "the inapplicability of this scheme for the purposes of a really general logic" [ 9 ] (p 100) and then noted that,
Date/Time Thumbnail Dimensions User Comment; current: 18:07, 18 December 2006: 548 × 370 (5 KB): Interiot~commonswiki: rounded corners on squares: 12:40, 18 November 2006
A compact binary circle packing with the most similarly sized circles possible. [7] 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). [8] There are also a range of problems which permit the sizes of the circles to be non-uniform.