1. the quality or state of being crooked, tilted, or not level; lack of straightness or proper alignment
Usage: informal; often used to describe physical misalignment or distortion
2. the quality of being absurd, ridiculous, or illogical; nonsensical or irrational nature
Usage: informal; figurative use

Examples

• The cockeyedness of the picture frame annoyed her until she straightened it.
• He noticed the cockeyedness of the building's foundation after the earthquake.
• The cockeyedness of the plan became obvious once they tried to execute it.
• The cockeyedness of his argument made it hard to take him seriously.
• She tilted her head at the cockeyedness of the leaning tower.
• The cockeyedness of the rules seemed designed to confuse everyone.