About
- This tool draws the image of the unit disk (or its exterior) under a complex map f. A polar grid of circles and radial rays is drawn in the domain and transported through f into the range.
- Grid lines are colored by the argument of f′(z), making it easy to see how f rotates and stretches infinitesimal shapes. Where f′(z) = 0 (critical points), colors become singular.
- The red point c and blue point d are complex parameters that can be dragged on the canvas to update the map in real time.
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Controls
- Type a function in the f(z) field and press Enter to apply.
- Drag the red (c) or blue (d) point to update complex parameters live.
- Set a and b (real-valued parameters) and press Apply.
- Drag the yellow grid slider to change the grid density.
Predefined objects
- Constants: e, pi, i.
- Parameters: a, b (real); c, d (complex, draggable).
- abs, sqrt, exp, log, sin, cos, tan, arcsin, arccos, arctan, re, im, conjugate.
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