A point runs once round a closed curve every period T, and its height y(t) is set against time, unrolling the curve into a wave. The circle gives sin θ. The astroid gives sin³θ = (3 sin θ − sin 3θ)/4, and the Gerono lemniscate y = sin θ cos θ gives ½ sin 2θ, an octave up. The

Name: A point runs once round a closed curve every period T, and its height y(t) is set against time, unrolling the curve into a wave. The circle gives sin θ. The astroid gives sin³θ = (3 sin θ − sin 3θ)/4, and the Gerono lemniscate y = sin θ cos θ gives ½ sin 2θ, an octave up. The
Channel: matharium
Description: A point runs once round a closed curve every period T, and its height y(t) is set against time, unrolling the curve into a wave. The circle gives sin θ. The astroid gives sin³θ = (3 sin θ − sin 3θ)/4, and the Gerono lemniscate y = sin θ cos θ gives ½ sin 2θ, an octave up. The

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A point runs once round a closed curve every period T, and its height y(t) is set against time, unrolling the curve into a wave. The circle gives sin θ. The astroid gives sin³θ = (3 sin θ − sin 3θ)/4, and the Gerono lemniscate y = sin θ cos θ gives ½ sin 2θ, an octave up. The

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