Knit topological shapes

It is possible to construct topological shape via knitting. In HK this may be done on circulars. One out of many tutorials may be found here, and the mathematical knitting is a very good, extensive resource.

A recent forum post on knitting such shapes on the machine led me to dig out an old sample of mine knit with brass wire and holding on the km flatbed; since I never actually determined an end use, the donut hole inner seam was never joined.
in this view the piece isĀ about 3 inches in height, and 8 inches across

a side view

Continuing to explore

These are my first two attempts at needle felting on random swatches remaining from machine knit experiments. Both pieces measure “postcard” 4X6 inches. The scale restriction requires thinking in a new way for me, and provides a different way to play with my yarn stash and found objects. It is not clear if any of these techniques will be incorporated into my clothing and accessories, or simply be an end in themselves. Collage lace with some of the same fibers is also on my list of “must try”.