Dimpled Buckeye Nuts By The Box - A USPS Medium Flat Rate Box Filled With Dimpled Buckeye Nuts (Approximately 400 to 800 Buckeyes of Various Sizes) These dimpled buckeye nuts come in variety of shapes and sizes. Almost all of these buckeye nuts have concave indentations. They will ship in a USPS Medium Flat Rate size box The USPS box contains approximately 400 to 800 buckeye nuts depending on their size and shape. The exact number of nuts will vary but the box will be full. The buckeye nut has a rich, mellow, warm-brown shell highlighted by a beige eye.