Buckeyes and horse chestnuts aren't the same thing.
Buckeyes have 5 palmed leaves with pointed tips and the fruits are covered with spines. The buds are dry.
Horse chestnuts have 7 palmed leaves with rounded tips and the fruits have fewer spines than buckeyes. The buds are sticky.
Buckeye trees get taller. Buckeyes are native to the US while horse chestnuts were introduced from Europe.
Neither are edible. Supposedly you can boil buckeye seeds to remove the acid and they're safe to eat. I tried it one time with some horse chestnuts. After a couple hours of boiling, they were still far too bitter to even taste.
Persimmon leaves are alternate down the stem. They aren't palmated like the ones in this photo.
