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MathBin | Archimedean Spiral in 2D | Member |
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Plots the Archimedean spiral (aka arithmetic spiral) using parametric equations. Named after Archimedes, it is the locus of points corresponding to the locations over time of a point moving away from a fixed point with a constant speed along a line that rotates with constant angular velocity. Parameter a turns the spiral, b controls the distance between successive turnings, while k zooms in/out on the number of turns. The parametric equations are [a t cos(t), a t sin(t)] if b is zero, otherwise [a t cos(t), b t sin(t)].