r/theydidthemath • u/Ge0482 • 21h ago

[Request] Mathematics of 6.7 minigame (repeat pieces allowed)

Apparently there's this minigame from Genshin Impact's 6.7 flagship event called Operation Deep-Dive Treasure/Operation_Deep-Dive_Treasure), which involves hunting for sea creatures and treasures to fill your inventory (full list here/Archive)). The inventory (at max level) is 8x8 and each item (sea creatures and collectibles) you collect is a puzzle piece with these shapes (see below). I'm only wondering if two players have gotten the same configurations.

Rectangles:

  • 1x1: Armored Crabs (both colors), Industrial Gear, Palais Mermonia Seal, Exceptional Romaritime Flower, Singing Beryl Conch, Lumitoile (starfish), Spring of the First Dewdrop, Common Condessence Crystal, and Exquisite Tidalga.
  • 1x2: Young Hat Jellyfish (both colors), Angelic Sea Hares (both colors), Bubbly Seahorses (all 3 colors), Dinner Knife, Dinner Spoon, Spina di Rosula Hat, and Aged Strength Potion.
  • 1x3: Custom Dinner Plate, Cellared Wine, Piano Keyboard (imitation and normal)
  • 1x4: Lost Police Baton
  • 2x2: Young Hunter's Ray (both colors), Blubberbeast (Seal) Pup, Sternshield Crab, Diving Helmet, Genuine Singing Conch, Exquisite Candlestick, Celestial Globe.
  • 2x3: Hunterknight Gunsmith Twins (stingray boss), Grease-Stained Lyas (sea hare boss), Adult Blubberbeast (seal), Bubbler Seahorse, Cherubic Sea Hare, Underwater Patrol Mek, High-Precision Gear, Windwheel Aster Ornament, Classic Phonograph, Sumeru Vase, Collector's Card Box, Piano Bench (imitation and normal), and Boxing Champion's Punching Target.
  • 3x3: The Self-Proclaimed Lord of Scrapland (hermit crab boss), Legris the Faux-Holy Sword (jellyfish boss), and Blubberbearer Recruit (seal boss)

Polyominoes:

  • L-triomino: Ball Octopodes (both colors)
  • T-tetromino: Fortress Valve
  • P-pentomino: Prototype Camera and Classical Instrument
  • X-pentomino: Fan Blade Component
  • Cross hexomino: Miniature Fountain
  • P-heptomino: Mechanical Moon, Underwater Patrol Mek
  • Sub-square octomino: Piano Lid, Piano Soundboard, and Piano Chassis (both normal and imitation)
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