Trine, Staff of Helena's Halo, and Staff of Morana's Nimbus improve hero intelligence, agility, and strength. They are complex items, so sometimes, their crafting may be confusing. Here is a guide that may help clarify the matter.
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To craft a Trine, you need a Minotaur's Head, a Desert Blade, and a Hand of Glory.
Note
Each of these items consists of 20 fragments that you get in Campaign missions. Thus, you need 20 Minotaur's Head fragments to craft one Minotaur's Head item.
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To craft a Staff of Selena's Halo, you need a Desert Blade, a Trine (i.e., a Minotaur's Head, a Desert Blade, and a Hand of Glory), and a Staff of Selena's Halo Recipe:
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To craft a Staff of Morana's Nimbus, you need two Staffs of Selena's Halo (i.e., two Desert Blades, two Trines, and two Staff of Selena's Halo Recipes) and a Staff of Morana's Nimbus Recipe:
Note
Several heroes need these items for upgrading. Be careful when equipping an item and double-check if you are upgrading the desired hero.