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  2. Total curvature - Wikipedia

    en.wikipedia.org/wiki/Total_curvature

    This curve has total curvature 6 π, and index/turning number 3, though it only has winding number 2 about p. In mathematical study of the differential geometry of curves, the total curvature of an immersed plane curve is the integral of curvature along a curve taken with respect to arc length: =.

  3. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    Algebraic Curves ¿ Curves ¿ Curves: Cubic Plane Curve: Quartic Plane Curve: Rational Curves: Degree 2: Conic Section(s) Unit Circle: Unit Hyperbola: Degree 3: Folium of Descartes: Cissoid of Diocles: Conchoid of de Sluze: Right Strophoid: Semicubical Parabola: Serpentine Curve: Trident Curve: Trisectrix of Maclaurin: Tschirnhausen Cubic ...

  4. Curvature - Wikipedia

    en.wikipedia.org/wiki/Curvature

    A migrating wild-type Dictyostelium discoideum cell whose boundary is colored by curvature. Scale bar: 5 μm. In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being a straight line or by which a surface deviates from being a plane.

  5. Geometry Dash - Wikipedia

    en.wikipedia.org/wiki/Geometry_Dash

    Geometry Dash is a side-scrolling music platforming game series developed by Robert Topala. It was released on 13 August 2013 for iOS and Android , with versions for Windows and macOS following on 22 December 2014.

  6. Curve - Wikipedia

    en.wikipedia.org/wiki/Curve

    Algebraic curves are the curves considered in algebraic geometry. A plane algebraic curve is the set of the points of coordinates x, y such that f(x, y) = 0, where f is a polynomial in two variables defined over some field F. One says that the curve is defined over F.

  7. Total absolute curvature - Wikipedia

    en.wikipedia.org/wiki/Total_absolute_curvature

    In differential geometry, the total absolute curvature of a smooth curve is a number defined by integrating the absolute value of the curvature around the curve. It is a dimensionless quantity that is invariant under similarity transformations of the curve, and that can be used to measure how far the curve is from being a convex curve. [1]

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