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There are 12 Arithmancy puzzle doors in Hogwarts Castle. To open one, solve the two triangular equations, then set the nearby ? and ?? dials to the creature symbols representing the missing numbers. The complete 0–9 creature key and every door solution are below.
Arithmancy creature-number key
The symbols form a fixed sequence from 0 through 9. Names vary between guides because some of the creatures are stylized, so use the visual description and number together. The sequence is more reliable than a creature’s unofficial name.
| Value | Symbol |
|---|---|
| 0 | Furry creature with eyebrows; often called a Demiguise-like symbol |
| 1 | Unicorn |
| 2 | Tentacle goat; often described as Graphorn-like |
| 3 | Three-headed snake, or Runespoor |
| 4 | Owl-like bird, or Fwooper |
| 5 | Spider with a face; often called a Quintaped |
| 6 | Lizard, or Salamander |
| 7 | One-eyed squid |
| 8 | Spider |
| 9 | Hydra |
How to solve an Arithmancy door
- Interact with the door to display its two triangular equations.
- For each triangle, add the three outside values. The two visible numbers and the missing creature value must equal the number in the triangle’s center.
- Subtract the two visible values from the center number to find the missing value.
- Turn the dial marked ? to the creature for the first missing value.
- Turn the dial marked ?? to the creature for the second missing value, then interact with the door again.
For example, if a triangle’s center is 14 and its visible values are 5 and 3, the missing value is 6: 14 - 5 - 3 = 6. Set that triangle’s dial to the lizard or Salamander symbol.
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The in-game Arithmancy Study Guide provides the creature-number clue near the first door. If you want a physical reference as well, the Hogwarts Legacy official game guide is optional; this page includes all of the solutions without requiring it.
All 12 Arithmancy door locations and solutions
The solution columns list the ? dial first and the ?? dial second. “Left” and “right” refer to the controls from the usual approach to the door, but several dials are above, below, behind you, or around a staircase.
| # | Location and route | ? | ?? | Access and reward notes |
|---|---|---|---|---|
| 1 | Central Hall rafters / Divination Classroom approach. Fast-travel to the Divination Classroom Floo Flame, turn around, enter the wooden rafters above Central Hall, follow the walkway, and turn right. | Owl-like bird / Fwooper 4 |
Three-headed snake / Runespoor 3 |
This door leads toward the Arithmancy Classroom and is next to the Arithmancy Study Guide clue. Reported loot includes a unicorn statue and additional items. |
| 2 | Arithmancy Classroom, left door. Open door 1 and enter the classroom. The two remaining doors are inside. | Owl-like bird / Fwooper 4 |
Spider with a face / Quintaped 5 |
Reported loot includes Room of Requirement bushes and an embroidered formal uniform. |
| 3 | Arithmancy Classroom, right door. This is the second puzzle door inside the classroom reached through door 1. | Lizard / Salamander 6 |
Unicorn 1 |
Reported loot includes gardener’s robes and large rugs. |
| 4 | Central Hall. Fast-travel to the Potions Classroom Floo Flame, turn around, and look for the nearby door on the lower level. | Spider 8 |
Three-headed snake / Runespoor 3 |
The ?? dial is on the floor above. Reported loot includes mannequins and a fringed crimson clockwork scarf. |
| 5 | Long Gallery. From the Potions Classroom Floo Flame, pass through the doors and descend toward the locked Level 1 door. Unlock it, continue through the Long Gallery, and find the door on the left in the open area. | Tentacle goat / Graphorn-like symbol 2 |
Unicorn 1 |
Requires access through a Level 1 lock. Reported loot includes Vivarium landscape paintings and a tattersall shirt-and-tie uniform. |
| 6 | Charms Classroom. Fast-travel to the Charms Classroom Floo Flame, turn around, and go around the left corner. | Tentacle goat / Graphorn-like symbol 2 |
One-eyed squid 7 |
Reported loot includes elf-made ivory gloves and a Jobberknoll statue. |
| 7 | Ravenclaw Tower. Fast-travel to the Ravenclaw Tower Floo Flame, run down the corridor, and look right. Walk around the room if you cannot immediately see the far-side dial. | Owl-like bird / Fwooper 4 |
Spider with a face / Quintaped 5 |
Reported loot includes grey Quidditch gloves and a bookstand. |
| 8 | Grand Staircase. Fast-travel to the Grand Staircase Tower Floo Flame and descend the stairs. The door is set into the outer wall. | Lizard / Salamander 6 |
One-eyed squid 7 |
The second dial is behind you or on the opposite side of the staircase. Reported loot includes Roughhouse gloves and a telescope. |
| 9 | Near the House Hourglasses. From the Grand Staircase Floo Flame, go up the stairs, turn right, double back up the next flight, and turn left. | Furry creature with eyebrows / Demiguise-like symbol 0 |
Spider with a face / Quintaped 5 |
The second dial is on the floor below. Reported loot includes the Ancient Mysteries scarf and large decorated tables. |
| 10 | Faculty Tower. Fast-travel to the Faculty Tower Floo Flame and enter the tower. The door is one floor above the entrance. | Furry creature with eyebrows / Demiguise-like symbol 0 |
Hydra 9 |
Requires progress in The Caretaker’s Lunar Lament and access to the Faculty Tower route. A Level 1 lock and prefect patrol can also affect access. Reported loot includes an elegant house cloak and a Quidditch equipment shelf. |
| 11 | The Great Hall. From The Great Hall Floo Flame, run left and around the pillar. The door is at the end of the corridor. | Spider 8 |
Three-headed snake / Runespoor 3 |
Reported loot includes moving portraits and a legendary head item for the Room of Requirement. |
| 12 | North Hall. From the Transfiguration Classroom Floo Flame, enter North Hall through the doors behind you, climb to the top floor, open the Level 1 locked door, and follow the corridor to the puzzle door on the left. | Lizard / Salamander 6 |
Three-headed snake / Runespoor 3 |
Requires Level 1 Alohomora access. Reported loot includes a Graphorn statue and a Forest Tartan scarf. |
Fastest order for completing all 12 doors
You can solve the doors in any order once their rooms and locks are accessible, but this route keeps nearby doors together:
- Start at the Divination Classroom Floo Flame. Complete the rafters door, then enter the Arithmancy Classroom and open both doors inside it. This three-door cluster also gives you the in-game creature-number clue.
- Use the Potions Classroom Floo Flame to complete the Central Hall door, then continue through the Level 1 route to the Long Gallery door.
- Visit the door near the Charms Classroom.
- Clear the Ravenclaw Tower, Grand Staircase, and House Hourglasses doors.
- After the relevant South Wing story access is available, complete the Faculty Tower door.
- Finish with the Great Hall and North Hall doors.
Access requirements and common problems
A door or dial is behind a lock
Several locations require a Level 1 lock to be opened with Alohomora. If you have not unlocked the required access, continue the story and the relevant lock progression before attempting the door. North Hall and the Long Gallery specifically use Level 1 access, while the Faculty Tower route is tied to The Caretaker’s Lunar Lament.
You cannot find the second dial
Do not assume both controls are beside the door. The ?? control may be on the floor above or below, behind your character, or on the opposite side of a staircase. Check the surrounding balcony, stairs, and nearby levels before deciding that the dial is missing.
The symbol names do not match another guide
This is normal. The value-6 creature may be called a lizard or Salamander, the value-5 symbol may be called a face-spider or Quintaped, and the value-2 symbol is often described as a Graphorn-like creature or tentacle goat. Match the picture to the fixed 0–9 sequence rather than relying on the label.
The door opens but the reward is different
The dependable completion pattern is a Conjuration collectible plus gear or another collection item. Individual gear names, appearances, rarity descriptions, and chest contents may be reported differently or vary with game state and version, so treat the reward notes above as guidance rather than guaranteed item-stat promises.
Independent reader supportYour contribution helps us test, update, and keep practical guides available for everyone.What do Arithmancy doors reward?
Each opened door contains a chest with a Conjuration collectible and another item, commonly gear or a Room of Requirement collection object. The exact gear result is not the main reason to solve the puzzles: completing all 12 is primarily useful for collection progress and for furnishing or decorating the Room of Requirement.
Do these 3 things before closing this tab:
1Clear out junk files and repair common Windows errors2Fix the driver behind crashes, sound loss and screen glitches3Repair Windows errors before they cause bigger problemsFor a second location reference, the routes and solution pairings are also collected in this Hogwarts Legacy Arithmancy door guide. Use the table above as the direct checklist for the current run.
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Frequently Asked Questions
There are 12 Arithmancy puzzle doors in Hogwarts Castle.
How many Arithmancy doors are there in Hogwarts Legacy?
The fixed order is 0 furry eyebrowed creature, 1 unicorn, 2 tentacle goat, 3 Runespoor, 4 Fwooper, 5 face-spider or Quintaped, 6 lizard or Salamander, 7 one-eyed squid, 8 spider, and 9 hydra.
What is the Arithmancy creature order?
The first three-door cluster near Divination is available early, but several other doors require Level 1 Alohomora access. The Faculty Tower door also requires progress through The Caretaker’s Lunar Lament and access to that route.
Do I need to complete a quest before solving Arithmancy doors?
The Bottom Line
Quick checklist: use the 0–9 creature key, set ? first and ?? second, search adjacent floors when a dial is not visible, and return after unlocking Level 1 areas through Alohomora and The Caretaker’s Lunar Lament. The 12 solution pairs are: 4/3, 4/5, 6/1, 8/3, 2/1, 2/7, 4/5, 6/7, 0/5, 0/9, 8/3, 6/3.
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