[img]data:image/png;base64,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[/img][br]An astroid is a particular mathematical curve: [b]a hypocycloid with four cusps[/b]. Specifically, it is the locus of a point on a circle as it rolls inside a fixed circle with four times the radius. By double generation, it is also the locus of a point on a circle as it rolls inside a fixed circle with 4/3 times the radius.[br][br]