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orthogonal components
coincide with the crystal axes
when special positions are occupied
closing the gap

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Drawing:

Axonometric projection of contour lines of the function x / (x2 + y2) – the real part of complex function 1 / (x + iy)

Digital pencils and ink. Freehand, no drawing aids. Low resolution version.

I’ve used 1/z as an inspiration several times. Wrote about related physics here.

Contour lines are perfect circles, tangent to the vertical axis, as x = constant * (x2 + y2) is the equation of a circle shifted from zero along the x-axis, the shift being equal to the radius. The diameter is the reciprocal of the constant vertical co-ordinate. I have not drawn the negative branch of the function – -|x| / (x2 + y2) – extending to minus infinity. The x-axis is the limiting case of a circle with infinite radius.

Found Poem:

Provide the title, google it, go to page 11 of the search results, using a relative URL on Google dot com like search?q=Imperfect+Projections&start=100, click a search result, pick a phrase. This is the next line. Google for this phrase, repeat.

I made a few failed attempts to use the top search results, but switched to >= 100 instead. I have been creating these poems since 2012, and it has become harder and harder – even harder than it was when I wrote this, on my creative process – not to get trapped within major platforms. Even if you google the search result again (instead of restricting yourself to click another link on the previous page), it’s hard to escape the silos of Pinterest and YouTube if you picked a phrase from lyrics.

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