zigzaggednesshttp://www.oed.com/dictionary/zigzaggedness_n%3Ftab%3Dmeaning_and_usezigzaggedness, n.
First published 1921; not fully revised

zigzaggednessnoun

  1. 1893–
    Stressed as ˈzigzaggedness.
    1. 1893
      It is in accordance with the general zig-zaggedness of things that the most popular residents in the fish-house are the birds.
      Strand Magazine vol. 6 693

Originally published as part of the entry for zigzagged, adj.

zigzagged, adj. was first published in 1921; not fully revised.