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Zooming for only curl and divergence Various lenses show different parts of the derivatives: There are lenses for the components of the geometrically meaningful decompositions into skew-symmetric (curl) and symmetric, trace-zero and trace times the identity (div), and various combinations -- as well as for the parts of the intuitive (but rather useless) decomposition into radial and circular. Technically the combined curl+div lens shows the skew symmetric part of the derivative plus the trace times the identity. Geometrically it is the part that commutes w/ the rotation group. Visually it always shows spirals in- or outward, and rite- or left turning.
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