Reciprocal Garden
One circle. Three seeds. A different kind of reflection.
The pale seeds are the originals. The bright seeds show where your circle sends them. Adjust the lens below, then press Plant seeds. On the first bed, only the radius changes.
How a circle turns space inside out
A seed stays on the ray from the lens center through its original position. Its original distance × its new distance equals the radius squared. Seeds inside the circle move outside; seeds outside move inside. A seed on the circle stays put.
Moving the center changes all three rays at once. Start with the directions, then tune the radius. Each garden accepts its seed within 12 units. These are mathematical puzzles, not an optics simulation.