An explanation of the number of peaks and symmetries of starbursts
Sergio Barbero, Antonia María Delgado, Lidia Fernández · 2026
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Description
Sergio Barbero and two colleagues explain an optical puzzle: why the starburst spikes around a night light come in countable patterns. When a bright point is viewed in dim light, faults in the eye's optics fold light into caustic patterns on the retina, and those patterns often show rotational symmetry. The number of spikes varies between viewers and occasions. The 2026 study builds a theory from the mathematics of the eye's wave aberration, written as a sum of Zernike shapes.
Counting special fold points in that surface, called cusps of Gauss, predicts how many peaks appear and how they arrange. A round aberration mixed with a three-lobed one yields a three-peak starburst. Swapping in a four-lobed term yields four-fold patterns with four or eight peaks. The authors add that the link runs backward too: a measured starburst could betray facts about a person's eye aberrations.
Catalog record
| CREATOR | Sergio Barbero, Antonia María Delgado, Lidia Fernández |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 172638 |
| LICENSE | https://creativecommons.org/licenses/by/4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |