Hyperellipse

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.

    "The hyperellipse is defined by (x/a)ⁿ + (y/b)ⁿ = 1 with b ≤ a, where n is the shape parameter and a and b are the axes along the x and y axes, respectively."

  2. 2
    Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two).
  3. 3
    A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid.

    "This algorithm extends the model of RNS by incorporating multiple hypershape (hypersphere, hyperrectangle, or hyperellipse) detector representation in the unit hypercube [0, 1]ⁿ (Balachandran et al., 2007)."

Example

More examples

"The hyperellipse is defined by (x/a)ⁿ + (y/b)ⁿ = 1 with b ≤ a, where n is the shape parameter and a and b are the axes along the x and y axes, respectively."

Etymology

From hyper- + ellipse.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.