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Math Birds

White-Breasted Nuthatch

These birds are often called “upside-down birds,” but maybe they just have no regard for orientation. I enjoyed playing with Boy’s surfaces, Möbius strips, cross-caps, and various Klein bottles for this piece (thanks math Twitter for responding to non-orientable surface requests). I decided on a fig

fractalkitty

• 1 min read
a figure 8 immersion klein bottle tree with nuthatches on it
A brown figure eight Klein bottle with branches and leaves sits with two white-breasted nuthatches. One is upside down and the other is not.

These birds are often called “upside-down birds,” but maybe they just have no regard for orientation. I enjoyed playing with Boy’s surfaces, Möbius strips, cross-caps, and various Klein bottles for this piece (thanks math Twitter for responding to non-orientable surface requests).

I decided on a figure-eight immersion of a Klein bottle.

A brown figure eight Klein bottle with branches and leaves sits with two white-breasted nuthatches. One is upside down and the other is not.

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