Waggle Dance: Sun-Compass Transposition

This 3D scene isolates the geometric heart of the honeybee waggle dance: the transposition between gravity, on the dark vertical comb, and the sun, outdoors. A scout dances on the vertical comb face inside the hive on the left; its waggle run's angle from straight-up and its duration encode a real food source's bearing and distance. A swarm of instanced recruit bees launches from the hive entrance, converts that gravity-relative angle back into a sun-relative compass bearing using the current sun azimuth, and flies out over the field to the food marker. Drag the sun-position slider to see the dance angle recalibrate in real time — the same food source, the same real-world bearing, but a different angle on the comb, exactly as foraging bees compensate for the sun's movement through the day.