The first entrelac Menger sponge was made of 72 squares. This new sponge is a "dual" of the original square, in a way. Take each square in the original shape, draw in its diagonals, and erase its edges. The new squares (twice as many) use the former squares' diagonals (well, half-diagonals) as their edges. It's a fun puzzle to figure out how to graph the squares in such a way that I can understand the path the yarn will take to complete the shape. In this case I had to us a lot of distortion to be able to show a complicated 3-d shape on the flat page. The shape is made up of 144 squares that are joined together as you go. The knitted squares are not always shown square on the graph. That's a casualty of the complicated shape... I need to be able to show, most of all, how the squares are connected. There are 8 places on this shape where 6 squares come together to create a complicated corner. This is very hard to show on a diagram! The shape obeys the contstraints I have set for myself for these shapes:
- It is knitted with a continuous thread of yarn.
- There are no sewn seams, and only one grafted seam at the very end.
- Since there are no seams, it is strong and flexible.
- Each square has a side that's worked together with a previous square, either through picking up stitches or by joining a selvedge.