Word for 'Like a Spiders Web'

Solution 1:

Since you've started with a word of Greek origin, I'd suggest "helicostrophedon" (which sadly does not turn up any hits in the vast knowledge of the internet).

The prefix helico means:

a combining form meaning “spiral”; used with this meaning and as a combining form of helix in the formation of compound words: helicograph.

The rest of the word could come from bostrophedon:

  • στροφή ‎(strophḗ, “turn”) + -δόν ‎(-dón, “in the manner of”).

Or if you really wanted that spider in the picture, try the prefix arachno. But perhaps this would imply a patient predator or quick, patterned movements more than the helical creation of her web.

Solution 2:

The word "arachnean" is defined by Merriam-Webster as

having the lightness or fineness of texture of a spider's web

Presumably it's not too much of a stretch to use the adjective to refer to the shape of the spider's web as well.