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  2. Desmos - Wikipedia

    en.wikipedia.org/wiki/Desmos

    Desmos was founded by Eli Luberoff, a math and physics double major from Yale University, [3] and was launched as a startup at TechCrunch 's Disrupt New York conference in 2011. [4] As of September 2012, it had received around 1 million US dollars of funding from Kapor Capital, Learn Capital, Kindler Capital, Elm Street Ventures and Google ...

  3. Butterfly curve (transcendental) - Wikipedia

    en.wikipedia.org/wiki/Butterfly_curve...

    The butterfly curve. The butterfly curve is a transcendental plane curve discovered by Temple H. Fay of University of Southern Mississippi in 1989. [1]

  4. Trefoil knot - Wikipedia

    en.wikipedia.org/wiki/Trefoil_knot

    Trefoil knot. In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining the two loose ends of a common overhand knot, resulting in a knotted loop. As the simplest knot, the trefoil is fundamental to the study of mathematical knot theory.

  5. Bézier curve - Wikipedia

    en.wikipedia.org/wiki/Bézier_curve

    A Bézier curve is defined by a set of control points P0 through Pn, where n is called the order of the curve (n = 1 for linear, 2 for quadratic, 3 for cubic, etc.). The first and last control points are always the endpoints of the curve; however, the intermediate control points generally do not lie on the curve.

  6. Parametrization (geometry) - Wikipedia

    en.wikipedia.org/wiki/Parametrization_(geometry)

    In mathematics, and more specifically in geometry, parametrization (or parameterization; also parameterisation, parametrisation) is the process of finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, defined by an implicit equation. The inverse process is called implicitization. [1] ".

  7. Parametric equation - Wikipedia

    en.wikipedia.org/wiki/Parametric_equation

    Parametric equation. The butterfly curve can be defined by parametric equations of x and y. In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters. [1] Parametric equations are commonly used to express the coordinates of the points that make up a geometric object ...

  8. Rose (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rose_(mathematics)

    Graphs of roses are composed of petals.A petal is the shape formed by the graph of a half-cycle of the sinusoid that specifies the rose. (A cycle is a portion of a sinusoid that is one period T = ⁠ 2π / k ⁠ long and consists of a positive half-cycle, the continuous set of points where r ≥ 0 and is ⁠ T / 2 ⁠ = ⁠ π / k ⁠ long, and a negative half-cycle is the other half where r ...

  9. Hyperboloid - Wikipedia

    en.wikipedia.org/wiki/Hyperboloid

    A hyperboloid is a quadric surface, that is, a surface defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces, a hyperboloid is characterized by not being a cone or a cylinder, having a center of symmetry, and intersecting many planes into hyperbolas.