What is the formula for creating a buttonhole?

The formula for creating a buttonhole is typically determined by the size of the button that will pass through the hole, ensuring a snug fit while allowing for easy closure and opening. The appropriate diameter needed for a buttonhole often includes a slight allowance beyond the button's actual size to accommodate fabric thickness and allow smooth insertion.

In this case, a measurement of one-fourth inch in diameter is suitable for the creation of buttonholes for smaller buttons, providing a balance between securing the button and maintaining functionality. This diameter ensures that buttons are held firmly enough to prevent them from slipping out while still being large enough to allow for ease of use.

The other proportions mentioned would either be too large or too small for standard buttonhole applications, potentially leading to difficulties in fastening or button integrity.