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单词 helicoid
释义
helicoid

Mathematics
  • A helicoid is a ruled surface which can be parametrized by

    x(r,θ)=rcos(aθ),y(r,θ)=rsin(aθ),z(r,θ)=θ.

    A curve of constant r is a helix. Fixing θ‎ = 0 gives the x-axis; the helicoid is generated moving the x-axis up and down the z-axis, rotating the generating line at a constant angular speed a. The helicoid is, aside from the plane, the only ruled surface which is also a minimal surface.

    helicoid

    A helicoid


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