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Family of closed mathematical curves
A superellipse, also known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major
Superellipse
Shape between a square and a circle
are at least two definitions of "squircle" in use, one based on the superellipse, the other arising from work in optics. The word "squircle" is a portmanteau
Squircle
Danish polymath (1905–1996)
Torg. Piet Hein's winning proposal was based on a superellipse. He went on to use the superellipse in the design of furniture and other artifacts. He
Piet_Hein_(scientist)
Special type of superellipsoid
superegg is a solid of revolution obtained by rotating an elongated superellipse with exponent greater than 2 around its longest axis. It is a special
Superegg
Quadrilateral with sides of equal length
0 , ± b ) . {\displaystyle (0,\pm b).} This is a special case of the superellipse, with exponent 1. One of the five 2D lattice types is the rhombic lattice
Rhombus
Shape
transform a classical ellipse into a superellipse: Ovals with index values that allow one to obtain images of superellipses B/L = 0.75 w/L = 0 Dp/B = 0.825
Oval
Simple curve of Euclidean geometry
special case of a Cartesian oval in which one of the weights is zero. A superellipse has an equation of the form | x a | n + | y b | n = 1 {\displaystyle
Circle
Geometric sans-serif font
architecture, with an appeal both technical and functional. The squarish superellipse shape evokes television screens from the 1950s and 1960s. Its predecessor
Eurostile
Equation in polar coordinates
The superformula is a generalization of the superellipse and was proposed by Johan Gielis in 2003. Gielis suggested that the formula can be used to describe
Superformula
Gary Allen, the design director for Frank L. Hope & Associates, felt a superellipse—which utilizes both straight lines and curvature—would be better for
Octorad
Function spaces generalizing finite-dimensional p norm spaces
Illustrations of unit circles (see also superellipse) in R 2 {\displaystyle \mathbb {R} ^{2}} based on different p {\displaystyle p} -norms (every vector
Lp_space
Public square in central Stockholm
curve with a "continuously varying bending" and immediately named it the superellipse. Before presenting his final proposal in 1960, Helldén added the triangular
Sergels_torg
Computer graphics images defined by points, lines and curves
shapes in two or three dimensions, such as circles, ellipses, squares, superellipses, spheres, tetrahedrons, superellipsoids, etc. Irregular three-dimensional
Vector_graphics
Quadrilateral with four right angles
U+25AF ▯ WHITE VERTICAL RECTANGLE Cuboid Golden rectangle Hyperrectangle Superellipse (includes a rectangle with rounded corners) Tapson, Frank (July 1999)
Rectangle
Hurwitz surface Mandelbrot curve Polynomial lemniscate Sinusoidal spiral Superellipse Bowditch curve Brachistochrone Butterfly curve (transcendental) Catenary
Gallery_of_curves
lemniscates Nephroid Oval Cartesian oval Cassini oval Oval of Booth Superellipse Taijitu Tomoe Magatama List of triangle topics List of circle topics
List of two-dimensional geometric shapes
List_of_two-dimensional_geometric_shapes
Curve generated by rolling a circle inside another circle with 4x or (4/3)x the radius
{\displaystyle x^{2/3}+y^{2/3}=a^{2/3}.} This means that an astroid is also a superellipse. Parametric equations are x = a cos 3 t = a 4 ( 3 cos ( t ) + cos
Astroid
French mathematician (1795–1870)
study of classes of ellipse-like curves, now known as Lamé curves or superellipses, and defined by the equation: | x a | n + | y b | n = 1 {\displaystyle
Gabriel_Lamé
Special case which arises when input values are at their extremes
various other figures, including the Cartesian oval, the ellipse, the superellipse, and the Cassini oval. Each type of figure is a circle for certain values
Limiting_case_(mathematics)
Geometric sans-serif typeface
called Eurostile Compact. Microgramma is a wide, geometric, font with superellipse curves, designed by Aldo Novarese and Alessandro Butti in 1952. It was
Microgramma_(typeface)
Topics referred to by the same term
MacAdam ellipse, an area in a chromaticity diagram Elliptic leaf shape Superellipse, a geometric figure As a name, ellipse, elliptic, or elliptical may also
Ellipse_(disambiguation)
List of mathematical contexts in which exponentiated terms are summed
x^{k}+y^{k}=z^{k}} is impossible in positive integers with k > 2. The equation of a superellipse is | x / a | k + | y / b | k = 1 {\displaystyle |x/a|^{k}+|y/b|^{k}=1}
Sums_of_powers
(algebraic) (genus 7) Polynomial lemniscate Fermat curve Sinusoidal spiral Superellipse Hurwitz surface Elkies trinomial curves Hyperelliptic curve Classical
List_of_curves
Plane curve
the unique ellipse circumscribing a triangle and sharing its centroid Superellipse, a generalization of an ellipse that can look more rectangular or more
Ellipse
German type designer and calligrapher (1918–2015)
Melior, inspired by Didone typography of around 1800, incorporating the superellipse as a design motif
Hermann_Zapf
Mathematical functions
expressed in this way: The horizontal and vertical coordinates of this superellipse are dependent on twice the enclosed area w = 2A, so the following conditions
Lemniscate_elliptic_functions
Family of geometric shapes
superellipsoid (or super-ellipsoid) is a solid whose horizontal sections are superellipses (Lamé curves) with the same squareness parameter ϵ 2 {\displaystyle
Superellipsoid
American mathematics and science writer (1914–2010)
Paradox of the unexpected hanging (Mar 1963) Rep-tiles (May 1963) The Superellipse (Sep 1965) Pentominoes (Oct 1965) The mathematical art of M. C. Escher
Martin_Gardner
Sphere with radius one, usually centered on the origin of the space
in the dual number plane. Ball n {\displaystyle n} -sphere Sphere Superellipse Unit circle Unit disk Unit tangent bundle Unit square The Chinese University
Unit_sphere
Length in a vector space
is an axis-aligned square. For any p {\displaystyle p} -norm, it is a superellipse with congruent axes (see the accompanying illustration). Due to the definition
Norm_(mathematics)
Mechanical device
the outer rollers, results in a cammed motion), various varieties of superellipses and Reuleaux polygons. Unlike conventional rolling-element bearings
Scrollerwheel
Multipurpose building in Denmark
facilities, a bowling alley, flexible multi-centres, sports clubs, a superellipse shaped swimming pool and Vandkulturhuset, (Danish for "Water Culture
DGI-byen
Hard outer layer of diatoms
Christina Brodie, UK Exploring the miniature world on microscopy-uk.org.uk Superellipse And Superellipsoid, A Geometric Primitive for Computer Aided Design,
Frustule
Pseudocylindrical equal-area map projection
meridians, with meridians that follow a particular kind of curve known as superellipses or Lamé curves or sometimes as hyperellipses. A hyperellipse is described
Tobler hyperelliptical projection
Tobler_hyperelliptical_projection
Macbeath surface Polynomial lemniscate Fermat curve Sinusoidal spiral Superellipse Hurwitz surface Bowditch curve Brachistochrone Butterfly curve Catenary
List_of_mathematical_shapes
Mean position of all the points in a shape
polyhedron, cylinder, rectangle, rhombus, circle, sphere, ellipse, ellipsoid, superellipse, superellipsoid, etc.) can be determined by this principle alone. In
Centroid
Graph of an equation
is a squircle centered on the origin, and it is a special case of a superellipse. Because of Pierre de Fermat's only surviving proof, that of the n =
Lamé's_special_quartic
Belgian engineer, scientist, mathematician, and entrepreneur
the superformula in 2003. The superfomula is a generalization of the superellipse. He suggested that it allows for the creation of shapes that can mimic
Johan_Gielis
communication with intelligent organisms on other worlds 1965 Sep The superellipse: a curve that lies between the ellipse and the rectangle 1965 Oct Pentominoes
List of Martin Gardner Mathematical Games columns
List_of_Martin_Gardner_Mathematical_Games_columns
Furniture
five parts and fastened the resulting fan to the tabletop; 1968: The "Superellipse" table, which combines the advantages of rectangular and round tabletops
Dining_table
Family of geometric shapes
powers. They can be seen as the three-dimensional relatives of the superellipses. The term may refer to the solid object or to its surface, depending
Superquadrics
within it the superellipse, i.e., p = 1 / q {\displaystyle p=1/q} , and its generalization. Conversely, the generalization of the superellipse clearly contains
Superparabola
Hyperelliptic curve Branched covering Artin-Schreier curve Kummer theory Superellipse Galbraith, S.D.; Paulhus, S.M.; Smart, N.P. (2002). "Arithmetic on superelliptic
Superelliptic_curve
Motor vehicle
It has a glass cockpit in back, a squared steering wheel resembling a superellipse (with n = 3⁄2, a = b = 1) and thermostatically controlled air conditioning
DiDia_150
Threshold of percolation theory models
the superellipses, with | x / a | 2 m + | y / b | 2 m = 1 {\displaystyle |x/a|^{2m}+|y/b|^{2m}=1} . For more percolation values of superellipses, see
Percolation_threshold
Works of American writer (1914–2010)
Association of America, 1992. Reprint forthcoming as Sprouts, Hypercubes, and Superellipses: Martin Gardner's Mathematical Carnival, (Series: The New Martin Gardner
Martin_Gardner_bibliography
Italian mathematician (born 1944)
held in Napoli from 31 May to 4 June 2011. Vladimir Maz'ya Superformula Superellipse Potential theory See Cialdea et al (2010, p. viii) and Bretti, Cesarano
Paolo_Emilio_Ricci
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