Lenses can be designed in various shapes beyond traditional conic sections, with specific geometries serving distinct applications. Aspheric lenses, defined by infinite geometric sums, enhance optical performance by reducing aberrations. Fresnel lenses, known for their compact design, are utilized in applications like lighting and projection. Additionally, some lenses, such as those used in missile guidance, prioritize aerodynamic shapes over optical considerations. Exploring non-conic lens shapes reveals innovative solutions in optics and engineering.