Exploring the vast halls of Hogwarts in Hogwarts Legacy often leads to mysterious doors adorned with animal symbols and numerical riddles. These **Arithmancy doors** challenge players to perform basic arithmetic using creature icons that represent digits from 0 to 9. Solving them grants access to hidden rooms filled with valuable loot, including rare gear and resources essential for progression.
This comprehensive guide reveals everything needed to conquer these puzzles: the location of the vital cheat sheet, the universal symbol values, detailed breakdowns of major doors, and tips for efficient exploration. Whether you’re a newcomer puzzled by the first encounter or a veteran hunting every secret, these strategies ensure success without frustration.
Understanding the Arithmancy Puzzle Mechanics
Arithmancy doors feature two triangular diagrams above the entrance—one upper and one lower—each presenting an equation with numbers, known animal symbols, and question marks. Players adjust spinners on the door’s sides: a single-question-mark dial for the top puzzle and a double-question-mark dial for the bottom.
The core mechanic involves addition or subtraction to balance the equations. Symbols encircling the door frame indicate values in clockwise order from bottom-left (0) to bottom-right (9). Correctly setting both dials opens the door, revealing chests with **Legendary** or **Extraordinary** items.
- Key Rule: Equations always sum or subtract to the central target number.
- Symbol Order: Fixed across all doors for consistency.
- Operations: Infer addition if components are smaller than the total; subtraction if larger.
Finding the Essential Cheat Sheet
The game’s clever design hides the solution in plain sight. Head to the **Library Annex** on the top floor via the Divination Classroom Floo Flame. Enter the left door, proceed down the wooden corridor to the first junction, turn right, and approach the animal-silhouetted door. A chest beside the chalkboard contains the **Arithmancy cheat sheet**, listing every symbol’s value.
Photograph or memorize this parchment—it’s reusable for all 12+ doors scattered across Hogwarts. Without it, puzzles seem cryptic; with it, they’re straightforward math.
Universal Animal Symbol Values
Every door uses the same 10 symbols, ordered clockwise. Here’s the definitive list:
| Number | Animal Symbol | Description |
|---|---|---|
| 0 | Owl | Winged bird with large eyes |
| 1 | Unicorn | Horned horse silhouette |
| 2 | Dragon | Winged reptile with flames |
| 3 | Hydra | Multi-headed serpent |
| 4 | Demiguise | Furry creature with eyebrows |
| 5 | Quintaped | Crab-like spider with face |
| 6 | Salamander | Lizard or newt |
| 7 | Octopus | One-eyed squid with tentacles |
| 8 | Spider | Eight-legged arachnid |
| 9 | Snake | Coiled serpent |
Note: Some sources vary slightly in naming (e.g., Demiguise as 0 or 4), but in-game consistency prevails with Owl=0.
Step-by-Step Solutions for Key Doors
Charms Classroom Lounge Door
Often the first puzzle encountered. Upper: 3 + 0 + ? = 5 (?=2, Dragon). Lower: 4 + 1 (Unicorn) + ?? = 12 (??=7, Octopus). Set single dial to Dragon, double to Octopus. Rewards: Eye gear.
Central Hall to Transfiguration Door
Upper: 11 + 4 (Demiguise? Wait, sources say elephant=2? Standard: 11 + 2 (Dragon) + ? = 21 (?=8, Spider). Lower: 5 (Quintaped) + 9 (Snake) + ?? = 17 (??=3, Hydra). Single: Spider; Double: Hydra.
Library Annex Starter
Near cheat sheet. Example from sources: 6 + 5 (Quintaped) + ? = 17 (?=6, Salamander). Rewards introduce the mechanic perfectly.
Divination Tower
Upper triangle often subtracts: 21 – 11 – 2 = 8 (Spider). Bottom adjusts accordingly. Precise symbols via cheat sheet.
For all doors, calculate: Target – Knowns = Unknown. Match to symbol table.
All Door Locations and Quick Solutions
Hogwarts hides over a dozen. Here’s a prioritized list:
- Library Annex: Single=Salamander (6), Double=Octopus (7). Loot: Gear.
- Charms Classroom: Dragon (2), Octopus (7).
- Central Hall: Spider (8), Hydra (3).
- Defense Against Dark Arts: Solve 9 – 3 – 2 = 4 (Demiguise single); adjust double similarly.
- Undercroft Entrance: Advanced: 17 – 5 – 6 = 6 (Salamander).
- More in South Wing, Astronomy Wing: Use table for variances.
Pro Tip: Symbols circle clockwise; count from bottom-left Owl=0.
Tips, Tricks, and Common Mistakes
- Mistake 1: Assuming 1-10 order—always 0-9.
- Trick: Pause and screenshot equations for offline solving.
- Efficiency: Grab cheat sheet early via main quest progression.
- Operations: If sum exceeds target, subtract; else add.
- Post-Solution: Doors stay open; revisit for loot.
These puzzles blend wizardry with arithmetic, rewarding observation. Practice hones speed for multiple solves.
Rewards and Why Bother?
Behind each door: Chests with **Legendary Capes, Talismans, Goggles**, Galleons, and plants. Essential for builds like Unforgivable Curse setups or maxed gear. Completing all contributes to 100% exploration trophies.
Frequently Asked Questions (FAQs)
Where is the cheat sheet exactly?
Divination Classroom floor, left corridor, right at junction, chest by first door.
Do all doors use the same symbols?
Yes, universal 0-9 mapping.
What if math confuses me?
Subtract knowns from target; match remainder to table. No division/multiplication.
Are there doors outside Hogwarts?
No, all castle interiors.
Can I skip puzzles?
No, but post-game free roam allows anytime access.
Advanced Strategies for Speedrunners
Memorize table for instant solves. Chain via Floo Flames: Library > Charms > Central. Track via in-game map markers post-discovery.
Integrate with Merlin Trials or Eye Chests for efficient runs.
References
- Hogwarts Legacy door puzzle | How to solve numbers and symbols — Radio Times. 2023-02-10. https://www.radiotimes.com/technology/gaming/hogwarts-legacy-door-puzzle/
- Hogwarts Legacy Door Puzzle Guide — GameSpot. 2023-02-15. https://www.gamespot.com/articles/hogwarts-legacy-symbol-door-puzzle-guide/1100-6511230/
- Hogwarts Legacy Arithmancy door puzzle guide — Dexerto. 2023-02-12. https://www.dexerto.com/hogwarts-legacy/hogwarts-legacy-how-to-open-animal-symbol-puzzle-doors-find-cheat-sheet-2053447/
- Hogwarts Legacy door puzzles: All locations and solutions — PC Gamer. 2023-02-20. https://www.pcgamer.com/hogwarts-legacy-puzzle-doors-locations/
- How To Open Animal Symbol Puzzle Doors in Hogwarts Legacy — YouTube (ESO). 2023-02-08.
- Hogwarts Legacy Puzzle Door Guide – All Solutions! — YouTube. 2023-02-11.

