geometry

the shape and relative arrangement of the parts of something…

Amman tiling

Amman tiling is an aperiodic set of two tiles and a foursome of ‘golden rhombohedra’, which form aperiodic tilings in three dimensions. The best-known Ammann...

annulus

annulus or little ring, is a ring-shaped object, a region bounded by two concentric circles...   annulus →

arbelos

arbelos is a plane region bounded by three semicircles connected at the corners, all on the same side of a straight line (the baseline) that...

Archimedean spiral

Archimedean spiral The Archimedean spiral, or arithmetic spiral, is a spiral named after the 3rd century BC Greek mathematician Archimedes. It is the locus of...

astroid

astroid A particular mathematical curve: a hypocycloid with four cusps. Specifically, it is the locus of a point on a circle as it rolls inside...

cardioid

cardioid A heart-like form, is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle...

circle

circle a round plane figure whose boundary – the circumference – consists of points equidistant from a fixed point the centre.   circle →

cube

cube a solid object with six square sides of equal size...

decagon

decagon is a ten-sided polygon or 10-gon. A regular decagon has all sides of equal length and each internal angle will always be equal to...

deltoid curve

deltoid curve a hypocycloid of three cusps. In other words, it is the roulette created by a point on the circumference of a circle as...

dodecagon

dodecagon or 12-gon is any twelve-sided polygon. A regular dodecagon is a figure with sides of the same length and internal angles of the same...

ellipse

ellipse a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for...

golden section

golden section golden rectangle or golden mean, is the division of a line so that the whole is to the greater part as that part...

grid

grid a framework of spaced bars that are parallel to or cross each other; a grating.

hendecagon

hendecagon undecagon, endecagon, or 11-gon is an eleven-sided polygon. A regular hendecagon has internal angles of 147.27 degrees...

heptagon

heptagon is a seven-sided polygon or 7-gon. A regular heptagon, in which all sides and all angles are equal, has internal angles of 5π/7 radians...

hexadecagon

hexadecagon hexakaidecagon, or 16-gon is a sixteen-sided polygon. A regular hexadecagon is a hexadecagon in which all angles are equal and all sides are congruent...

hexagon

hexagon a shape with six straight sides.

icosagon

icosagon or 20-gon, is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

irregular shape

irregular shape a polygon that does not have all sides equal and all angles equal...

line

line a line is the edge or contour of a shape. In drawing a line is a thin, continuous mark made on a surface with a...

nonagon

nonagon or enneagon, is a nine-sided polygon or 9-gon. A regular nonagon has internal angles of 140°...

NURBs

digital artistic work using digital technology as an essential part of the creative or presentation process…

octagon

octagon a plane figure with eight straight sides and eight angles…

oval

oval having a rounded and slightly elongated outline or shape like that of an egg.

pentagon

pentagon a plane figure with five straight sides and five angles…

pentagram

pentagram pentalpha, pentangle or star pentagon, is the shape of a five-pointed star drawn with five straight strokes...

plane

plane a flat or level surface that continues in all directions; a tectonic element characterized by having two similar dimensions proportionally larger than the third;...

point

point a small, round mark on a line, plan, or map to show the position of something...

shape

shape the external form, contours, or outline of something...

sphere

sphere an object shaped like a round ball...

square

square a flat shape with four sides of equal length and four angles of 90°

square pyramid

square pyramid a pyramid having a square base. If the apex is perpendicularly above the center of the square, it will have C4v symmetry...

star polygon

star polygon is a type of non-convex polygon. A regular star pentagon, {5/2}, has five corner vertices and intersecting edges...

superellipse

superellipse a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis, and symmetry about them, but a different overall...

tetrahedron

tetrahedron in geometry, a tetrahedron, also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex...

triangle

triangle a flat shape with three straight sides…

triangular prism

triangular prism A triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining...

Voronoi diagram

Voronoi diagram is the division of a space into contiguous neighbouring cells. The cells relate to a set of points ( Voronoi sites) in that...

Weaire-Phelan model

Weaire-Phelan model the Weaire–Phelan structure is a complex 3-dimensional structure representing an idealised foam of equal-sized bubbles…