Intricacy (noun)

1. The state or quality of being intricate, complicated, or involved.
2. A complex and detailed pattern or design.

Origin:

Late middle english: from latin intricat- 'entangled, complicated', from the verb intricare, from in- 'into' + tricae 'perplexities'.

Examples:

1. The intricacy of the web was remarkable.
2. The intricate details on the antique vase were breathtaking.
3. The intricacy of the labyrinth was daunting.
4. The intricacy of the legal system often confounds laypeople.
5. The intricacy of the plan was unprecedented.