Everything About ___
Live briefing

Everything about Evolute

Centers of curvature of a curve

In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. That is to say that when the center of curvature of each point on a curve is drawn, the resultant shape will be the evolute of that curve. The evolute of a circle is therefore a single point at its center. Equivalently, an evolute is the envelope of the normals to a curve. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: EvoluteA 5-minute orientation
  2. Skim a recent paper: DK‐Crush or Mini‐Crush Stenting for Complex Left Main Bifurcation Lesions: The Multicenter EVOLUTE‐CRUSH LM RegistryInfluential work since 2022
  3. Pick up a classic book: On the origin of species by means of natural selectionThe most-reprinted book on the subject
  4. Read the landmark paper: Reconfiguration of a Rolling Sphere: A Problem in Evolute-Involute GeometryCited 26 times
  5. Go sideways: InvoluteA closely related topic
  6. Go sideways: CardioidA closely related topic

📖 Definitions

Noun A curve comprising the centres of curvature of another curve.

Adjective Having or being a (mollusc) spiral shell in which the whorls touch along a surface.

Adjective Unfolded; turned back.

Verb Synonym of evolve (“cause to come into being”).

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics