Billiard Room Dart Puzzle In Blue Prince: Explained

Before the Blue Door or the Gallery Puzzles, you’ll encounter the Billiard Room dart puzzle in Blue Prince. This is one of the early puzzles you’ll encounter during your expeditions through Mt. Holly. While it’s not required to reach the legendary Room 46, solving this puzzle is worth your time. Completing it rewards you with randomized keys, which can help you unlock doors and progress further in your runs.

Here’s how to solve the Billiard Room dart puzzle in Blue Prince, break down the mechanics, and cover the advanced symbols you might encounter as the puzzle gets harder.

How to Solve the Billiard Room Dart Puzzle in Blue Prince

Whenever you draft the Billiard Room, you’ll find the dart puzzle on the far wall behind the pool table. The puzzle is based on a series of randomized mathematical equations, with each color on the dartboard representing a specific mathematical function.

To figure out what each color means, you can use the magnifying glass on a document in the Nook. The document reveals the following:

Blue = Addition
Yellow = Subtraction
Pink = Multiplication
Purple = Division

Unlike standard math rules, the order of operations (PEMDAS) doesn’t apply here. Instead, the puzzle starts with the ring closest to the bullseye and works outward.

Walkthrough With Examples

Let’s go through a full example of how the Billiard Room dart puzzle in Blue Prince works:

First Equation

The dartboard highlights 20 in blue and 3 in yellow.
Blue means addition, and yellow means subtraction.

The equation is 20 – 3 = 17.

Second Equation

The dartboard highlights 1 in blue and 17 in pink.
Blue means addition, and pink means multiplication.

The equation is 1 x 17 = 17.

Third Equation

The dartboard highlights 10 in blue and 2 in purple.
Blue means addition, and purple means division.

Since 2 / 10 doesn’t work on a dartboard, reverse the order: 10 / 2 = 5.

Fourth Equation

The dartboard highlights 13 in blue, 3 in yellow, 5 in pink, and 10 in purple. Start with the blue number as your base and work outward:

13 – 3 = 10
10 x 5 = 50
50 / 10 = 5

Once you solve all the equations, the dartboard will shift upward, revealing your reward.

Dart Puzzle Rewards

Completing the dart puzzle rewards you with one or more randomized keys. These can include:

Standard Keys: Used to unlock regular doors.
Silver Keys: Open rooms with multiple doorways.
Secret Garden Keys: Unlock the Secret Garden.
Electronic Keycards: Used for electronically locked doors.

Advanced Dart Puzzle Symbols

As you solve the dart puzzle more frequently, the equations become more complex. New symbols will appear on the dartboard, adding extra layers of difficulty. Here’s a breakdown of the advanced symbols and what they mean:

Square (^): Square the number (e.g., 3 becomes 9).
Diamond: Reverse the digits of the number (e.g., 21 becomes 12).
Red Dots: Repeat the step based on the number of dots shown.
Red X: Skip this step entirely.
Red /: Halve the final number.
Two Squiggly Lines: Round the number to the nearest whole number.
Four Squiggly Lines: Round to the nearest 10.
Six Squiggly Lines: Round to the nearest 100.
1/3 Full Section: Divide the number by 3.

These symbols appear in either the bullseye or the outer border of the dartboard. You’ll need to apply them after completing the steps for the bullseye’s color.

And that is how to solve the Billiard Room dart puzzle in Blue Prince. For more Blue Prince-related content, stay tuned to RetroNoob.