Hogwarts is filled with secrets, but few are as initially frustrating as the Arithmancy door puzzles scattered throughout the castle. These stone frames, adorned with ten unique animal symbols and two chalk-drawn triangles, often leave students scratching their heads. While they appear to be complex magical barriers, they are actually simple arithmetic equations. This guide breaks down the numerical logic behind every symbol and provides the exact solutions for every door in the game.

Understanding the Arithmancy Symbol Key

The most common mistake players make when attempting a hogwarts legacy door puzzle is assuming the count starts at one. In the wizarding world of Arithmancy, zero is a foundational number. There are ten symbols surrounding the door frame, and they correspond to the numbers 0 through 9, reading from left to right, starting from the bottom left corner.

Here is the definitive list of symbols and their assigned values:

  • 0: Demiguise – A sloth-like creature with long hair and large eyebrows.
  • 1: Unicorn – Easily identified by its single horn.
  • 2: Graphorn – A large, horned beast (sometimes mistaken for a goat or kelpie).
  • 3: Runespoor – A three-headed serpent.
  • 4: Fwooper – An owl-like bird perched on a branch.
  • 5: Quintaped – A five-legged creature with a somewhat bulbous body.
  • 6: Salamander – A lizard-like creature often associated with fire.
  • 7: Grindylow – A multi-tentacled water demon (resembling an octopus or squid).
  • 8: Acromantula – A large spider with many eyes.
  • 9: Hydra – A multi-headed snake with nine distinct heads.

Memorizing this order or keeping a reference handy is essential. If you ever forget, look at the symbols around the door: the bottom-left is always 0, and the bottom-right is always 9.

How the Triangle Equations Work

When you interact with a puzzle door, two triangles appear on the surface. The number in the center of each triangle is the sum you need to reach. The three circles on the points of the triangle represent the numbers that must add up to that central sum.

Typically, one point of the triangle will show a number, another will show a symbol (representing its numerical value), and the third will be a question mark (? for the top triangle, ?? for the bottom triangle). Your task is to find the value of the missing piece and rotate the corresponding stone "dice" or rollers nearby until the correct animal symbol is displayed.

Example Calculation: If the center number is 15, and the known points are the number 4 and the Unicorn symbol (1), the math is: 4 + 1 + ? = 15. In this case, ? equals 10—wait, no, the symbols only go to 9. Let's try another: If the center is 9, and the points are 2 and the Hydra (3), then 2 + 3 + ? = 9. Here, ? must be 4 (the Fwooper).

Where to Find the Official Cipher Cheat Sheet

For those who prefer in-game confirmation, there is a physical note titled "Arithmancy Study Guide" located within the castle. To find it, travel to the Divination Classroom Floo Flame in the Library Annex. From the flame, turn around and walk back through the wooden rafters. At the first junction, turn right. You will see a small landing with a chalkboard and a puzzle door. Next to the chalkboard is a blue chest; open it to collect the cipher page, which lists the 0-9 values for all creatures.

Complete Location Guide and Solutions

Below is a comprehensive breakdown of every hogwarts legacy door puzzle found within the school, categorized by region for easy navigation.

1. The Library Annex Doors

The Arithmancy Classroom (Three Doors)

The Arithmancy Classroom is hidden behind the puzzle door mentioned in the cipher sheet section.

  • The Entrance Door (Near Divination):

    • Top Triangle (Center 9): Points are 2 + Hydra (3) + ?. Solution: 4 (Fwooper).
    • Bottom Triangle (Center 4): Points are 0 + 1 + ??. Solution: 3 (Runespoor).
    • Inside this room, you will find two more puzzle doors.

  • Arithmancy Classroom – Left Door:

    • Top Triangle (Center 15): Points are 4 + ? = 15. Note that the third point might be a symbol like the Quintaped (5). If the center is 15, and points are 4 and 7, the answer is 4 (Fwooper).
    • Bottom Triangle (Center 18): Points are 13 + ??. Solution: 5 (Quintaped).

  • Arithmancy Classroom – Right Door:

    • Top Triangle (Center 17): Points are 9 + Salamander (6) + ?. Solution: 2 (Graphorn).
    • Bottom Triangle (Center 8): Points are 1 + ??. Solution: 1 (Unicorn) (Wait, if the center is 8, and you have 1 and another symbol like the Salamander (6), the solution is 1).

Central Hall

Head to the Potions Classroom Floo Flame and turn back toward the Central Hall. Down the stairs, you will find a door near the door leading to the Transfiguration Courtyard.

  • Solution: Set the left roller (?) to the Spider (8) and the right roller (??), located on the balcony above the door, to the Runespoor (3).

2. The Astronomy Wing Doors

Charms Classroom

Travel to the Charms Classroom Floo Flame. Turn around and head down the hallway until you reach a corner near a stack of boxes. The door is tucked away here.

  • Solution: Set the ? roller to the Graphorn (2) and the ?? roller to the Grindylow (7).

North Hall (Near Transfiguration)

From the Transfiguration Classroom Floo Flame, enter the North Hall and climb the stairs to the top level. There is a locked level 1 door you must open first (Alohomora required). Follow the corridor to find the puzzle.

  • Solution: Set the ? roller to the Salamander (6) and the ?? roller to the Runespoor (3).

3. The Grand Staircase Doors

Grand Staircase Tower

Climb the winding stairs near the Grand Staircase Tower Floo Flame. The door is located on one of the landings midway up the staircase.

  • Solution: Set the ? roller to the Salamander (6) and the ?? roller to the Grindylow (7).

Near the House Hourglasses

At the bottom of the Grand Staircase, near where the house points are displayed, there is a door in the hallway leading toward the Great Hall.

  • Solution: Set the ? roller to the Demiguise (0) and the ?? roller to the Quintaped (5).

Ravenclaw Tower

Located near the entrance to the Ravenclaw common room. This door is easily spotted when walking from the Grand Staircase toward the tower.

  • Solution: Set the ? roller to the Fwooper (4) and the ?? roller to the Quintaped (5).

4. The Great Hall Doors

The Great Hall Corridor

Fast travel to the Great Hall Floo Flame. Turn left and run down the corridor. The door is at the very end of the hall.

  • Solution: Set the ? roller to the Spider (8) and the ?? roller to the Runespoor (3).

5. The South Wing Doors

Faculty Tower

This door is located inside the Faculty Tower, which is restricted during the early parts of the game. You must complete the quest "The Caretaker's Lunar Lament" to gain access. Once inside, climb the stairs to the first floor.

  • Solution: Set the ? roller to the Demiguise (0) and the ?? roller to the Hydra (9).

6. The Library Annex - Long Gallery

From the Potions Classroom, go through the door and down the stairs to the Long Gallery. You will need to pass a level 1 lock to reach this area.

  • Solution: Set the ? roller to the Graphorn (2) and the ?? roller to the Unicorn (1).

Troubleshooting Common Issues

If you have calculated the numbers correctly but the door still won't open, check the following:

  1. Roller Location: Some rollers are not immediately next to the door. For example, the Central Hall door has one roller on the floor above. Use Revelio to highlight interactable objects through walls if you are missing a stone gear.
  2. The Start-at-Zero Rule: It cannot be emphasized enough. If you count the Unicorn as 2, every single one of your equations will be wrong.
  3. Visual Similarity: Ensure you aren't confusing the Quintaped (5 legs) with the Spider (8 legs). The Spider has a very distinct round abdomen, while the Quintaped looks more like a crab-beast.
  4. Interaction Glitches: Occasionally, the rollers might not trigger the door opening if you are standing too close to the stone. Step back and ensure the door frame glows before checking the result.

Rewards and Loot

Opening these doors is highly beneficial for early to mid-game progression. Behind each door, you will typically find two chests. One usually contains a Gear item (ranging from Well-Appointed to Legendary quality, often scaled to your current level), and the other contains a Collection item. These Collection items are often furniture or decorations for the Room of Requirement, such as statues, paintings, or rugs.

Furthermore, finding the Arithmancy Classroom is a reward in itself, as it contains multiple chests and field guide pages that provide a significant boost to your XP.

Summary of Animal Values for Quick Reference

If you are in the middle of a puzzle and just need a quick list, use this:

  • 0: Demiguise (Hairy guy)
  • 1: Unicorn (Horned horse)
  • 2: Graphorn (Double-horned beast)
  • 3: Runespoor (Three heads)
  • 4: Fwooper (Owl bird)
  • 5: Quintaped (Five legs)
  • 6: Salamander (Lizard)
  • 7: Grindylow (Tentacles)
  • 8: Acromantula (Spider)
  • 9: Hydra (Snake heads)

By mastering this simple system of Arithmancy, you can unlock every hidden room in Hogwarts without ever needing to find the physical cipher sheet. The math is never more complicated than basic addition, making these puzzles some of the most accessible yet rewarding challenges in the game. Keep this guide bookmarked for your next exploration session through the halls of the school.