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Overlapping Circles Grid
An overlapping circles grid is a geometric pattern of tessellation, repeating, overlapping circles of an equal radius in two-dimensional space. Commonly, designs are based on circles centered on triangular lattice, triangles (with the simple, two circle form named ''vesica piscis'') or on the square lattice pattern of points. Patterns of seven overlapping circles appear in historical artefacts from the 7th century BC onwards; they become a frequently used ornament in the Roman Empire period, and survive into medieval artistic traditions both in Islamic art (girih decorations) and in Gothic art. The name "Flower of Life" is given to the overlapping circles pattern in New Age publications. Of special interest is the six petal rosette derived from the "seven overlapping circles" pattern, also known as "Sun of the Alps" from its frequent use in alpine folk art in the 17th and 18th century. Triangular grid of overlapping circles The triangular lattice form, with circle radii equal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Square Grid Of Overlapping Circles
In Euclidean geometry, a square is a regular polygon, regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree (angle), degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adjacent sides. It is the only regular polygon whose Internal and external angle, internal angle, central angle#Central angle of a regular polygon, central angle, and Internal and external angle, external angle are all equal (90°), and whose diagonals are all equal in length. A square with Vertex (geometry), vertices ''ABCD'' would be denoted . Characterizations A Convex polygon, convex quadrilateral is a square if and only if it is any one of the following: * A rectangle with two adjacent equal sides * A rhombus with a right vertex angle * A rhombus with all angles equal * A parallelogram with one right vertex angle and two adjacent equal sides * A quadrilateral with four equal sides and four right angles * A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
