golden spiral
Nature's growth pattern
A golden spiral is a logarithmic spiral that grows wider by a factor of the golden ratio (roughly 1.618) with each quarter turn.
It appears in mathematics, art, and design as an idealized form of organic growth patterns.
The spiral is often superimposed on nautilus shells, hurricanes, and galaxies, though these natural spirals only approximate the mathematical ideal: The photographer composed the shot along a golden spiral.
Pisan mathematician, numeral importer
- logarithmicBased on exponents
- equiangularHaving all equal angles
- geometryScience of spatial relationships
- ratioComparative numerical relation
proportion · phi · curve · sequence · algorithm · calculus · helix · tangent
Chambered marine mollusk
- sunflowerTall daisy-family plant
- galaxyGravitationally bound stellar mass
- pineconeWoody seed-bearing structure
- hurricaneViolent tropical windstorm
seashell · fern · snail · romanesco · broccoli · cabbage · coral · tendril
Arranged elements forming whole
- aestheticsTheory of beauty
- harmonyAgreement or musical blend
- balanceSteadiness or amount owed
- beautyAesthetic excellence
proportion · renaissance · canvas · masterpiece · Da Vinci · Dali · rule of thirds · focal point
Increase in scope
- unfoldingGradually becoming apparent
- progressionSequential forward movement
- outwardToward the outside
- scalingClimbing or resizing
self-similar · iteration · accretion · cumulative · radiating · unfurling · blooming · emergence
Fibonacci
Pisan mathematician, numeral importer
- logarithmicBased on exponents
- equiangularHaving all equal angles
- geometryScience of spatial relationships
ratio · proportion · phi · curve · sequence · algorithm · calculus · helix · tangent · radius
nautilus
Chambered marine mollusk
- sunflowerTall daisy-family plant
- galaxyGravitationally bound stellar mass
- pineconeWoody seed-bearing structure
hurricane · seashell · fern · snail · romanesco · broccoli · cabbage · coral · tendril · whorl
composition
Arranged elements forming whole
- aestheticsTheory of beauty
- harmonyAgreement or musical blend
- balanceSteadiness or amount owed
beauty · proportion · renaissance · canvas · masterpiece · Da Vinci · Dali · rule of thirds · focal point · design
expansion
Increase in scope
- unfoldingGradually becoming apparent
- progressionSequential forward movement
- outwardToward the outside
scaling · self-similar · iteration · accretion · cumulative · radiating · unfurling · blooming · emergence · developing
- spiralshelix, coil, whorl, swirl, vortex
- fibonacciFibonacci sequence, Fibonacci numbers, phi, recurrence relation
- geometric arttessellations, fractals, symmetry, geometric patterns, tessellation
- proportionphi, proportion, proportions, ideal proportions, body proportions
- Mathematical CuriositiesMobius strip, fractal, Escher stairs
- geometryangles, circles, angle, shapes, lines
golden spiralstraight line
Undeviated continuous path
circle · linear progression · square · rectangle · right angle
golden, spiral, gold, gilded, gilding, gilds, spirals, spiraled, spiraling