## Diagram: Minecraft Action Comparison ### Overview The image presents a comparison of Minecraft actions across three scenarios: "Vanilla" (unperturbed), "Perturbed True Required Items," and "Perturbed True Actions." Each scenario is divided into three levels, visually representing crafting or mining processes. The diagram illustrates how perturbing either the required items or the actions themselves affects the gameplay. ### Components/Axes * **Titles:** * (a) Vanilla * (b) Perturbed True Required Items * (c) Perturbed True Actions * **Levels:** Level 1, Level 2, Level 3 (displayed vertically in each scenario) * **Items:** Minecraft items such as swords, pickaxes, wood, cobblestone, iron ingots, planks, furnace, and sticks. * **Actions:** Craft, mine, smelt * **Visual Cues:** * Arrows indicate the flow or transformation of items. * Colored boxes highlight the core items or actions at each level. * Dashed lines and circular arrows indicate replacements. * **Colors:** * Green: Used to highlight the initial set of items required. * Blue: Used to highlight the items that are replaced. * Purple: Used to highlight the initial set of actions required. * Red: Used to highlight the items that are being replaced. ### Detailed Analysis **Column (a): Vanilla** * **Level 1:** A sword, wood, and a stick are enclosed in a black box. Arrows indicate the crafting process. * Valid action: craft * **Level 2:** A furnace, cobblestone, a pickaxe, wood, and a stick are enclosed in a black box. Arrows indicate the crafting process. * Valid action: craft * **Level 3:** A hammer, wood, a pickaxe, and a stick are enclosed in a black box. Arrows indicate the crafting process. * Valid action: craft **Column (b): Perturbed True Required Items** * **Level 1:** A sword, wood, and a pickaxe are enclosed in a green box. An iron ingot is replaced by cobblestone (indicated by a red circle and blue dashed box). * Valid action: craft * **Level 2:** A furnace, cobblestone, a pickaxe, and a hammer are enclosed in a green box. Cobblestone is replaced by wood planks (indicated by a red circle and blue dashed box). * Valid action: craft * **Level 3:** A hammer, a pickaxe, and wood are enclosed in a green box. Wood is replaced by a single wood plank (indicated by a red circle and blue dashed box). * Valid action: craft **Column (c): Perturbed True Actions** * **Level 1:** A sword, wood, and a pickaxe are enclosed in a purple box. * Valid action: craft * **Level 2:** A furnace, cobblestone, a pickaxe, and a hammer are enclosed in a purple box. * Valid action: craft * **Level 3:** A hammer, a pickaxe, and wood are enclosed in a purple box. * Valid action: mine OR smelt ### Key Observations * The "Vanilla" scenario represents the standard crafting recipes in Minecraft. * The "Perturbed True Required Items" scenario shows how changing the required items affects the crafting process. * The "Perturbed True Actions" scenario demonstrates how altering the valid actions (e.g., changing "craft" to "mine" or "smelt") impacts the gameplay. * The perturbations are consistent within each column, with specific item replacements or action changes applied across all levels. ### Interpretation The diagram illustrates the impact of modifying the core mechanics of Minecraft, specifically the required items and valid actions for crafting. By perturbing these elements, the diagram highlights how changes to the game's rules can alter the player's experience and the strategies they must employ. The "Perturbed True Required Items" scenario demonstrates how substituting one item for another can still allow for crafting, albeit with potentially different outcomes. The "Perturbed True Actions" scenario shows how changing the fundamental actions required can force the player to adapt and use different methods to achieve their goals. The diagram suggests that even small changes to the game's mechanics can have a significant impact on gameplay.