# Spiral

**spiralsspherical spiralwhorlplane spiralspiral patternsspiral shapedspiro-formswirly**

In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point.wikipedia

355 Related Articles

### Phonograph record

**vinyl7LP**

The first definition describes a planar curve, that extends in both of the perpendicular directions within its plane; the groove on one side of a record closely approximates a plane spiral (and it is by the finite width and depth of the groove, but not by the wider spacing between than within tracks, that it falls short of being a perfect example); note that successive loops differ in diameter.

A phonograph record (also known as a gramophone record, especially in British English), often simply record, is an analog sound storage medium in the form of a flat disc with an inscribed, modulated spiral groove.

### Archimedean spiral

**spiralspiral of ArchimedesArchimedes spiral**

In the side picture, the black curve at the bottom is an Archimedean spiral, while the green curve is a helix.

The Archimedean spiral (also known as the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes.

### Logarithmic spiral

**equiangular spiralmiraculous spiralSpira mirabilis**

In another example, the "center lines" of the arms of a spiral galaxy trace logarithmic spirals.

A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve which often appears in nature.

### Spiral of Theodorus

In geometry, the spiral of Theodorus (also called square root spiral, Einstein spiral or Pythagorean spiral) is a spiral composed of right triangles, placed edge-to-edge.

### Lituus (mathematics)

**Lituus**

In mathematics, a lituus is a spiral with polar equation

### Helix

**helicalheliceshelically**

In others it follows a skew path forming a helico-spiral pattern.

A conic helix may be defined as a spiral on a conic surface, with the distance to the apex an exponential function of the angle indicating direction from the axis.

### Angle

**acute angleobtuse angleoblique**

A rhumb line (also known as a loxodrome or "spherical spiral") is the curve on a sphere traced by a ship with constant bearing (e.g., travelling from one pole to the other while keeping a fixed angle with respect to the meridians).

In other contexts, such as identifying a point on a spiral curve or describing the cumulative rotation of an object in two dimensions relative to a reference orientation, angles that differ by a non-zero multiple of a full turn are not equivalent.

### Horn (anatomy)

**hornhornshorned**

Thompson also studied spirals occurring in horns, teeth, claws and plants.

Horns usually have a curved or spiral shape, often with ridges or fluting.

### Helianthus

**sunflowersunflowersHelianthus annuus**

A model for the pattern of florets in the head of a sunflower was proposed by H. Vogel.

Further, the florets of a sunflower are arranged in a natural spiral.

### Patterns in nature

**da Vinci branching rulepatternsnatural patterns**

Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes.

### Celtic maze

Celtic mazes are straight-line spiral patterns that have been drawn all over the world since prehistoric times.

### Spirangle

In geometry, a spirangle is a figure related to a spiral.

### Stairs

**staircasespiral staircasestairway**

Spiral stairs, sometimes referred to in architectural descriptions as vice, wind around a newel (also the central pole).

### Mathematics

**mathematicalmathmathematician**

In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point.

### Curve

**closed curvespace curvesmooth curve**

In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point.

### The American Heritage Dictionary of the English Language

**American Heritage DictionaryAmerican HeritageAmerican Heritage Dictionary of the English Language**

### Plane (geometry)

**planeplanarplanes**

The first definition describes a planar curve, that extends in both of the perpendicular directions within its plane; the groove on one side of a record closely approximates a plane spiral (and it is by the finite width and depth of the groove, but not by the wider spacing between than within tracks, that it falls short of being a perfect example); note that successive loops differ in diameter.

### Spiral galaxy

**spiral galaxiesspiral armspiral**

In another example, the "center lines" of the arms of a spiral galaxy trace logarithmic spirals. The spiral is also found in structures as small as the double helix of DNA and as large as a galaxy.

### DNA

**deoxyribonucleic aciddouble-stranded DNAdsDNA**

The spiral is also found in structures as small as the double helix of DNA and as large as a galaxy.

### Two-dimensional space

**Euclidean planetwo-dimensional2D**

A two-dimensional, or plane, spiral may be described most easily using polar coordinates, where the radius r is a monotonic continuous function of angle \varphi:

### Radius

**radiiradialradially**

A two-dimensional, or plane, spiral may be described most easily using polar coordinates, where the radius r is a monotonic continuous function of angle \varphi:

### Continuous function

**continuouscontinuitycontinuous map**

A two-dimensional, or plane, spiral may be described most easily using polar coordinates, where the radius r is a monotonic continuous function of angle \varphi: