Crafter Emily Martin, the top seller on the website , a Brooklyn, New York-based online marketplace for all things handmade, is here to make one-of-a-kind dolls sure to please children and adults alike.

Download the doll template and three simple tutorials, hand-drawn by Emily herself, to make a beautiful black apple doll at home.

Tutorial 1
Tutorial 2
Tutorial 3
Doll Template

Resources: The felt used to make them is available on . Fabric and buttons can be found at fabric stores. To purchase an already-made doll, visit Emily's store on . Find out more about Emily on her blog, Inside a Black Apple .

The following table gives the diameters of circles giving the densest known packings of equal circles packed inside a unit square , the first few of which are illustrated above (Friedman). All to 20 solutions (in addition to all solutions ) have been proved optimal (Friedman). Peikert (1994) uses a normalization in which the centers of circles of diameter are packed into a square of side length 1. Friedman lets the circles have unit radius and gives the smallest square side length . A tabulation of analytic and diagrams for to 25 circles is given by Friedman. Coordinates for optimal packings are given by Nurmela and Östergård (1997).