All of the following are types of basic nail shapes EXCEPT:

Basic nail shapes are standard designs that manicurists use to create aesthetically pleasing and manageable nails. The primary shapes include square, round, and oval, each with distinct characteristics.

The square shape features straight edges with sharp corners, providing a bold and structured appearance. The round shape has a gentle curve, designed to follow the natural shape of the fingertip, making it a more conservative look. The oval shape extends the nail and slightly narrows at the tip, adding elegance and length.

In contrast, "cone" is not recognized as a standard nail shape within the basic classifications used by nail technicians. This term does not align with the conventional styles that are typically taught and practiced in manicure training. Therefore, identifying "cone" as the option that does not fit with the basic shapes is accurate, as it does not reflect any established nail design taught in cosmetology.