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Lists of shapes cover different types of geometric shape and related topics. They include mathematics topics and other lists of shapes, such as shapes used by drawing or teaching tools. They include mathematics topics and other lists of shapes, such as shapes used by drawing or teaching tools.
This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.
Table of Shapes Section Sub-Section Sup-Section Name Algebraic Curves ¿ Curves ¿ Curves: Cubic Plane Curve: Quartic Plane Curve: Rational Curves: Degree 2: Conic Section(s) Unit Circle: Unit Hyperbola: Degree 3: Folium of Descartes: Cissoid of Diocles: Conchoid of de Sluze: Right Strophoid: Semicubical Parabola: Serpentine Curve: Trident ...
Image Name First described Equation Comment circle = The trivial spiral Archimedean spiral (also arithmetic spiral): c. 320 BC = + Fermat's spiral (also parabolic spiral): 1636 [1]
The circle is the shape with the largest area for a given length of perimeter (see Isoperimetric inequality). The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle.
Gambian dalasi coin, a Reuleaux heptagon. In geometry, a Reuleaux polygon is a curve of constant width made up of circular arcs of constant radius. [1] These shapes are named after their prototypical example, the Reuleaux triangle, which in turn is named after 19th-century German engineer Franz Reuleaux. [2]
Some coinage shapes are non-circular bodies of constant width. For instance the British 20p and 50p coins are Reuleaux heptagons, and the Canadian loonie is a Reuleaux 11-gon. [24] These shapes allow automated coin machines to recognize these coins from their widths, regardless of the orientation of the coin in the machine.
The name "Flower of Life" is given to the overlapping circles pattern in New Age publications. Of special interest is the hexafoil or 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.
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