# Category: Spirals

Ulam spiral
The Ulam spiral or prime spiral is a graphical depiction of the set of prime numbers, devised by mathematician Stanisław Ulam in 1963 and popularized in Martin Gardner's Mathematical Games column in S
Fresnel integral
The Fresnel integrals S(x) and C(x) are two transcendental functions named after Augustin-Jean Fresnel that are used in optics and are closely related to the error function (erf). They arise in the de
Transition spiral
No description available.
List of spirals
This list of spirals includes named spirals that have been described mathematically.
On Spirals
On Spirals (Greek: Περὶ ἑλίκων) is a treatise by Archimedes, written around 225 BC. Notably, Archimedes employed the Archimedean spiral in this book to square the circle and trisect an angle.
In mathematics the Padovan cuboid spiral is the spiral created by joining the diagonals of faces of successive cuboids added to a unit cube. The cuboids are added sequentially so that the resulting cu
Spiral of Theodorus
In geometry, the spiral of Theodorus (also called square root spiral, Einstein spiral, Pythagorean spiral, or Pythagoras's snail) is a spiral composed of right triangles, placed edge-to-edge. It was n
Euler spiral
An Euler spiral is a curve whose curvature changes linearly with its curve length (the curvature of a circular curve is equal to the reciprocal of the radius). Euler spirals are also commonly referred
Archimedean spiral
The Archimedean spiral (also known as the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes. It is the locus corresponding to the locations over time of a po
Track transition curve
A track transition curve, or spiral easement, is a mathematically-calculated curve on a section of highway, or railroad track, in which a straight section changes into a curve. It is designed to preve
Lituus (mathematics)
In mathematics, a lituus is a spiral with polar equation where k is any non-zero constant.Thus, the angle θ is inversely proportional to the square of the radius r. This spiral, which has two branches
Seiffert's spiral
Seiffert's spherical spiral is a curve on a sphere made by moving on the sphere with constant speed and angular velocity with respect to a fixed diameter. If the selected diameter is the line from the
Heliospheric current sheet
The heliospheric current sheet, or interplanetary current sheet, is a surface separating regions of the heliosphere where the interplanetary magnetic field points toward and away from the Sun. A small
Logarithmic spiral beach
A logarithmic spiral beach is a type of beach which develops in the direction under which it is sheltered by a headland, in an area called the shadow zone. It is shaped like a logarithmic spiral when
Poinsot's spirals
In mathematics, Poinsot's spirals are two spirals represented by the polar equations where csch is the hyperbolic cosecant, and sech is the hyperbolic secant. They are named after the French mathemati
Doyle spiral
In the mathematics of circle packing, a Doyle spiral is a pattern of non-crossing circles in the plane in which each circle is surrounded by a ring of six tangent circles. These patterns contain spira
Logarithmic spiral
A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. The first to describe a logarithmic spiral was Albrecht Dürer (1525) who called
Fermat's spiral
A Fermat's spiral or parabolic spiral is a plane curve with the property that the area between any two consecutive full turns around the spiral is invariant. As a result, the distance between turns gr
Spiral
In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point.
Spiral (railway)
A spiral (sometimes called a spiral loop or just loop) is a technique employed by railways to ascend steep hills. A railway spiral rises on a steady curve until it has completed a loop, passing over i
Cotes's spiral
In physics and in the mathematics of plane curves, a Cotes's spiral (also written Cotes' spiral and Cotes spiral) is one of a family of spirals classified by Roger Cotes. Cotes introduces his analysis
Golden spiral
In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter tur
Spirangle
In geometry, a spirangle is a figure related to a spiral. Spirangles are similar to spirals in that they expand from a center point as they grow larger, but they are made out of straight line segments
Transition curve
No description available.
Voderberg tiling
The Voderberg tiling is a mathematical spiral tiling, invented in 1936 by mathematician (1911-1945). It is a monohedral tiling: it consists of only one shape that tessellates the plane with congruent
Uzumaki
Uzumaki (うずまき, lit. "Spiral") is a Japanese horror manga series written and illustrated by Junji Ito. Appearing as a serial in the weekly seinen manga magazine Big Comic Spirits from 1998 to 1999, the
Conchospiral
In mathematics, a conchospiral a specific type of space spiral on the surface of a cone (a conical spiral), whose floor projection is a logarithmic spiral.Conchospirals are used in biology for modelli
Spiral galaxy
Spiral galaxies form a class of galaxy originally described by Edwin Hubble in his 1936 work The Realm of the Nebulae and, as such, form part of the Hubble sequence. Most spiral galaxies consist of a
Shchelkin spiral
The Shchelkin spiral is a device that assists the transition from deflagration (subsonic combustion) to detonation in a pulse detonation engine. The spiral is named after Kirill Ivanovich Shchelkin, a
Conical spiral
In mathematics, a conical spiral, also known as a conical helix, is a space curve on a right circular cone, whose floor plan is a plane spiral. If the floor plan is a logarithmic spiral, it is called
Rhumb line
In navigation, a rhumb line, rhumb (/rʌm/), or loxodrome is an arc crossing all meridians of longitude at the same angle, that is, a path with constant bearing as measured relative to true north.
Hyperbolic spiral
A hyperbolic spiral is a plane curve, which can be described in polar coordinates by the equation of a hyperbola. Because it can be generated by a circle inversion of an Archimedean spiral, it is call
Spidron
This article discusses the geometric figure; for the science-fiction character see Spidron (character). In geometry, a spidron is a continuous flat geometric figure composed entirely of triangles, whe
Celtic maze
Celtic mazes are straight-line spiral key patterns that have been drawn all over the world since prehistoric times. The patterns originate in early Celtic developments in stone and metal-work, and lat