# 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
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### 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.

### Electric battery

batterybatteriesBattery (electricity)

### DNA

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: