Arithmancy door calculator and symbol legend. The interactive section below addresses the keyword directly; read the explanation to understand what the setting, collectible or mechanic actually does.
✦ Quick Answer
Each door triangle is a sum. Select its middle target and two visible values. The missing animal is target − visible A − visible B, numbered 0–9. Calculate the ? and ?? triangles separately.
Instant ? and ?? animal calculator
Top triangle — ?
Bottom triangle — ??
Animal number chart
All 12 Arithmancy door areas
| Door location | Closest Floo Flame |
|---|
Why the calculator works
Every creature on the frame represents a digit from 0 through 9. The three points of each triangle must add up to its center target. Enter the two shown corners (numbers or animal icons), then subtract them from the center. For example, 14 − 3 − 9 = 2, so turn that triangle's dial to the Graphorn icon.
Complete creature-number legend
First icon on the lower-left of the arch
Single horn
Two horns
Three heads
Bird shape
Five limbs
Lizard silhouette
Tentacled symbol
Spider icon
Last icon on the lower-right of the arch
Where the 12 doors are
The location tool above lists the nearby Floo Flames. You can efficiently clear two doors together inside the Arithmancy Classroom after solving the doorway near Divination Classroom. For doors in the Faculty Tower or behind locked corridors, unlock Alohomora first. Some rooms are in areas you unlock naturally during the story.
Use the animal dials to open the door
Read the door
The first triangle is marked ?; the second is marked ??. Select the target number and two visible creatures or numbers for each triangle.
Find the missing animal
Calculate target minus the other two points. If you get 0, choose Demiguise; 9 is Hydra.
Set the dials
Find the matching ? and ?? dials on nearby walls; rotate each to the calculated animal.
Open the door
Interact with the symbol door again to reveal the rewards.
Avoid the common mistake
All doors use the same arithmetic rule, but some roller controls are around corners or on another level from the door.
Common Questions
Why does the solver say “check values”?
A missing value outside 0–9 means at least one visible value or the center target was entered incorrectly.
Are there 12 doors?
Yes, there are 12 Arithmancy doors around Hogwarts.
What does the ?? stand for?
The second triangle’s separate missing creature; it uses a different nearby roller.
Can the missing number be 10 or higher?
No. Every creature represents 0 to 9. If the calculated result is outside that range, recheck the target and visible corners.
Guides & Sources
References support the game mechanics and troubleshooting context. Interactive illustrations are independent educational tools rather than official game screenshots.