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单词 Lissajous curve
释义
Lissajous curve

Mathematics
  • Named after Jules Antoine Lissajous (1822–80), a Lissajous curve is a planar curve that can be parameterized as

    x(t)=A1sin(ω1t+ϵ),y(t)=A2sin(ω2t).

    The curve is closed if and only if ω‎1/ω‎2 is rational.

    Lissajous curve

    A Lissajous curve

    In the figure A1 = ω‎2 = 2, A2 = ω‎1 = 3, ε‎ = π‎/6.


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