Isle Aphun is an island where you send all the Pokemon you have on a mission. This mission will last 24 hours, but your Pokemon can be called back at any Time. These Missions will have your Pokemon collect many different items, including evolutionary items and more. Poke Beans will actually double the Speed of the Pokemon for the duration of the Beans being in the crate, being done with their mission in half the time.
The first rank on this island becomes available when you have 30 Pokemon in your Boxes and 30 Poke Beans, allowing your Pokemon to do the mission of Path for Odd-Shard Hunting. Thee second rank is unlocked with 45 Pokemon in your Boxes and 90 Poke Beans, allowing your Pokemon to do the Missions of Path for Odd-Shard Hunting, Path for Brilliant-Stone Hunting, and Path for Interesting-Item Hunting. The final rank is accessed with 60 Pokemon in your Boxes and 150 Poke Beans, allowing your Pokemon to do the missions of Path for Odd-Shard Hunting, Path for Brilliant-Stone Hunting, Path for Interesting-Item Hunting, and Path for Rare-Treasure Hunting.
Available Items in Path for Odd-Shard Hunting: Hard Stone, Star Piece, Revive, Blue Shard, Green Shard, Yellow Shard, and Red Shard.
Available Items in Path for Brilliant-Stone Hunting: Dawn Stone, Dusk Stone, Everstone, Fire Stone, Float Stone, Hard Stone, Ice Stone, Leaf Stone, Moon Stone, Light Clay, Oval Stone, Shiny Stone, Sun Stone, Thunder Stone, and Water Stone.
Available Items in Path for Rare-Treasure Hunting: Big Nugget, Big Pearl, Comet Shard, Gold Bottle Cap, Hard Stone, Nugget, Pearl, Pearl String, and Rare Bone.
Available Items in Path for Interesting-Item Hunting: Hard Stone, Star Piece, Revive, Blue Shard, Green Shard, Yellow Shard, Red Shard, Dawn Stone, Dusk Stone, Everstone, Fire Stone, Float Stone, Ice Stone, Leaf Stone, Moon Stone, Light Clay, Oval Stone, Shiny Stone, Sun Stone, Thunder Stone, Water Stone, Big Nugget, Big Pearl, Comet Shard, Gold Bottle Cap, Nugget, Pearl, Pearl String, and Rare Bone.