Quick answer: To unlock the Floating Grease Chronicles game mode in Honkai: Star Rail, you must collect specific Imagenate Fragments by completing "Floating Grease Origin Retrace: Shiftmation" puzzles located in Duomension City, Graphia Academy, Dovebrook District, and the “World’s End” Tavern.
Floating Grease Chronicles is a platformer-style game mode introduced in Honkai: Star Rail Version 4.0. Located within Duomension City on the planet Planarcadia, this mode offers unique gameplay mechanics and rewards such as Stellar Jades. However, the worlds within Floating Grease Chronicles are initially locked. Accessing them requires gathering specific key items known as Imagenate Fragments found throughout the new maps.

Imagenate Fragment locations
There are four distinct worlds available in the Floating Grease Chronicles, and each requires a corresponding fragment type to unlock. These fragments are obtained by solving puzzles in four different areas of Planarcadia.
| Area | Required Item |
|---|---|
| Duomension City | Dual-Phase Winds Imagenate Fragments |
| Graphia Academy | Absent Moon Imagenate Fragments |
| Dovebrook District | Mass Cacophony Imagenate Fragments |
| “World’s End” Tavern | Gift of the Earth Imagenate Fragments |

Solving Floating Grease Origin Retrace: Shiftmation puzzles
To acquire the fragments listed above, players must locate and complete "Floating Grease Origin Retrace: Shiftmation" puzzles in their respective zones. These challenges generally involve manipulating the environment to reach a target construct, often shaped like a monkey or bunny.
Common mechanics:
- World Rotation: Players can rotate the perspective of the puzzle area (using inputs like Q or E) to reveal new paths or align platforms.
- Paint Collection: Some puzzles require the player to "reclaim" painted areas or pillars by touching them.
- Movement: Navigation involves standard platforming actions like jumping and double-jumping. Environmental aids such as trampolines may be present to reach higher elevations.
- Completion: The puzzle concludes when the player successfully navigates the shifted environment to reach the animal construct (monkey or bunny) and claims the reward.
Once the necessary Imagenate Fragments are secured from these puzzles, players can return to the Floating Grease Chronicles hub in Duomension City to unlock the corresponding world stages and proceed with the game mode.