Learn Turkish: Eksper, küremsi heykeli kontrol edip desenleri rapora ekledi. - The appraiser checked the spherical statue and added the patterns to the report.

Küremsi is formed from the noun küre (sphere) and the similarity suffix -(i)msi, meaning "-like" or "resembling". We use -(i)msi here because küre is a noun. The other approximation suffix you are learning, -mtırak, is almost exclusively attached to adjectives of color (like sarımtırak for "yellowish") or taste (like ekşimtırak for "sourish").

Why use kontrol edip instead of kontrol etti ve?

The -(y)ip suffix attaches to a verb stem to mean "and" or "and then", linking two sequential actions performed by the same subject. While you could grammatically say kontrol etti ve rapora ekledi, using edip sounds much more natural and cohesive in written Turkish. It acts as a bridge, allowing the first verb to "borrow" the past tense and subject from the final verb (ekledi).

Why are both heykeli and desenleri marked with the accusative case suffix -i?

They are both specific direct objects in the sentence. The appraiser checked a specific, known statue (heykeli is the object of kontrol edip) and added the specific patterns to the report (desenleri is the object of ekledi). The definite accusative suffix (-i / -ı / -u / -ü) indicates that these aren't just any random statues or patterns, but the exact ones in focus.