Category
page 1Geometric shapes
cross
thumb|A Greece|Greek cross (all arms of equal length) above a [[saltire, a cross whose limbs are slanted]]

pyramid
geometrical shape
shape
thumb|A children's toy called Shape-O, made by Tupperware Brands|Tupperware, used for learning various shapes.
hyperboloid
{| class=wikitable align=right
|- align=center
|150pxHyperboloid of one sheet
|160pxconical surface in between
|150pxHyperboloid of two sheets
|}
In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A hyperboloid is the surface obtained from a hyperboloid of revolution by deforming it by means of directional scalings, or more generally, of an affine transformation.
paraboloid
thumb|right|Paraboloid of revolution
In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry.

helix
thumb|upright=1.35|(l-r) Tension, compression and torsion coil springs
thumb|upright|A machine screw
thumb|The right-handed helix for with arrowheads showing direction of increasing
annulus
geometric surface defined by two concentric circles
helicoid
right|thumb|350px|A helicoid with α = 1, −1 ≤ ρ ≤ 1 and − ≤ θ ≤ .
ruled surface
surface through every point of which runs a straight line which equally is on the surface
hyperboloid structure
architectural structure in the shape of a partial hyperboloid
oloid
thumb|300px|Oloid structure, showing the two 240-degree circular sectors and the convex hull
thumb|240px|The plane shape of a developed oloid surface
conoid
300px|thumb|Right circular conoid:
Geometric Shapes
Unicode block (U+25A0-25FF)

Auxetics
thumb|400px
stripe
long, narrow band of color, often in alternating sets

physical surface
thumb|right|The surface of an apple has various perceptible characteristics, such as curvature, smoothness, texture, color, and shininess; observing these characteristics by sight or touch allows the object to be identified.
thumb|right|Water droplet lying on a [[damask. Surface tension is high enough to prevent it passing through the textile.]]
thumb|right|The Sun, like all stars, appears from a distance to have a distinct surface, but on closer approach has no set surface.
A surface, as the term is most generally used, is the outermost or uppermost layer of a physical object. It is the porti
sphericon
thumb|Sphericon animation
thumb|STL (file format)|STL model of a sphericon
thumb|240px|Animation of a rolling sphericon
In solid geometry, the sphericon is a solid that has a continuous developable surface with two congruent, semi-circular edges, and four vertices that define a square. It is a member of a special family of rollers that, while being rolled on a flat surface, bring all the points of their surface to contact with the surface they are rolling on. It was discovered independently by carpenter Colin Roberts (who named it) in the UK in 1969, by dancer and sculptor Alan Boeding of MOM
squircle
thumb|200px|right|Squircle centred on the origin () with minor radius :
convex cone
subset of a vector space closed under positive linear combinations

spherical shell
Region between two concentric spheres of differing radii
Catalan surface
mathematical concept

superformula
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 many complex shapes and curves that are found in nature. Gielis has filed a patent application related to the synthesis of patterns generated by the superformula, which expired effective 2020-05-10.
Spidron
This article discusses the geometric figure; for the science-fiction character see Spidron (character).
alt=|thumb|First spidron created by Dániel Erdély in 1979, consisting of equilateral triangles and the symmetrical obtuse [[isosceles triangles which together form right triangles]]
In geometry, a spidron is a continuous flat geometric figure composed entirely of triangles, where, for every pair of joining triangles, each has a leg of the other as one of its legs, and neither has any point inside the interior of the other. A deformed spidron is a three-dimensional figure sharing the other pr
Archimedean circle
circle in the arbelos congruent to the twin circles
Medial axis
the set of all points having more than one closest point on the boundary of a given object
Fusiform
thumb|spindle (textiles)|Spindle with yarn
thumb|A lemon (geometry)|lemon in geometry
cruciform
Cruciform describes objects resembling a common cross or Christian cross. These include architectural shapes, biology, art, and design.
triple helix
set of three congruent geometrical helices with the same axis
right conoid
ruled surface made of lines orthogonal to an axis
Surface of constant width
three-dimensional convex body whose width is the same in every direction
Hexafoil
thumb|A geometrical hexafoil