logarithmic spiral
Self-similar expanding whorl
A logarithmic spiral is a curve that winds around a central point while continuously increasing its distance from that center, with each turn maintaining the same angle to the radius.
This self-similar shape appears throughout nature—in nautilus shells, hurricane formations, spiral galaxies, and the arrangement of seeds in sunflowers.
Also called an equiangular spiral.
Chambered cephalopod's outer covering
- sunflower headComposite bloom's disc center
- hurricane eyeCalm cyclone core
- pineconeWoody seed-bearing structure
- fiddlehead fernImmature coiled frond
ram's horn · snail shell · whirlpool · tornado · chambered nautilus · conch shell · spider web · cyclone
Twenty-first Greek letter
- Fibonacci sequenceSeries summing consecutive terms
- golden rectangleRectangle with phi ratio
- sacred geometrySymbolic patterns with spiritual significance
- golden sectionIrrational proportion near 1.618
Graph of doubling quantities
- self-similarityIdentical at every magnification
- geometric progressionSeries multiplying by constant
- radiusCenter-to-perimeter distance
- thetaEighth Hellenic letter
growth factor · polar coordinates · tangent · asymptotic · parametric · calculus · differential equation · ratio
Spiral arrangement of ridges
- unfurlingOpening from rolled state
- amplificationIncrease in intensity
- accretionGrowth through external addition
- proliferationRapid increase in quantity
Having no limits
- boundlessWithout any boundaries
- never-endingLasting without termination
- cosmic scaleUniverse-sized frame of reference
nautilus shell
Chambered cephalopod's outer covering
- sunflower headComposite bloom's disc center
- hurricane eyeCalm cyclone core
- pineconeWoody seed-bearing structure
fiddlehead fern · ram's horn · snail shell · whirlpool · tornado · chambered nautilus · conch shell · spider web · cyclone
phi
Twenty-first Greek letter
- Fibonacci sequenceSeries summing consecutive terms
- golden rectangleRectangle with phi ratio
- sacred geometrySymbolic patterns with spiritual significance
exponential curve
Graph of doubling quantities
- self-similarityIdentical at every magnification
- geometric progressionSeries multiplying by constant
- radiusCenter-to-perimeter distance
theta · growth factor · polar coordinates · tangent · asymptotic · parametric · calculus · differential equation · ratio · scaling
whorl
Spiral arrangement of ridges
- unfurlingOpening from rolled state
- amplificationIncrease in intensity
- accretionGrowth through external addition
unbounded
Having no limits
- boundlessWithout any boundaries
- never-endingLasting without termination
- cosmic scaleUniverse-sized frame of reference
- spiralshelix, coil, whorl, swirl, vortex
- proportiongolden ratio, golden mean, golden section, phi, golden rectangle
- trajectoriestrajectory, arc, path, parabola, flight path
- mollusk partsradula, mantle, shell, siphon, gills
spiral, spiraling, spirals, spiraled, logarithm, logarithmic, logarithms