Blue Prince Dartboard Calculator

What is the Blue Prince Dartboard Calculator?

The Blue Prince dartboard calculator is a specialized tool designed to solve the mathematical dartboard puzzles found in the Billiard Room of the video game, The Blue Prince. Unlike a standard darts game calculator for 501, this puzzle is not about scoring. Instead, it requires you to perform a sequence of mathematical operations based on colors and symbols presented on the dartboard. The puzzles start simple but increase in complexity, introducing new rules and modifiers as you progress through the game. [1, 5] This calculator helps players by handling the complex order of operations and special rules, ensuring a correct solution every time.

The Blue Prince Puzzle Formula and Explanation

The core logic of the puzzle is to start with a value of 0 and apply operations sequentially, moving from the innermost ring of the dartboard outwards. [4] Operations in the same ring are completed before moving to the next. The colors on the board dictate the primary mathematical operation.

Core Operations

Core Mathematical Operations by Color
Color	Meaning	Unit	Typical Range
Blue	Addition (+)	Unitless Number	1-20
Yellow	Subtraction (-)	Unitless Number	1-20
Pink	Multiplication (×)	Unitless Number	1-20
Purple	Division (÷)	Unitless Number	1-20

Modifiers and Special Symbols

As puzzles get harder, symbols appear on the bullseye or the outer rim, modifying the calculation. Our Blue Prince advanced puzzle guide covers these in more detail. Bullseye symbols apply after a ring’s calculations are done, while Rim symbols apply to a specific wedge. [2, 6]

Practical Examples

Example 1: Basic Calculation

A simple puzzle might show a blue wedge in the number 6 slot, followed by a yellow wedge in the 4 slot on the next ring.

Inputs: Ring 1: Blue, Value 6. Ring 2: Yellow, Value 4.
Formula: (0 + 6) – 4
Result: 2

Example 2: Complex Calculation with Modifiers

A more advanced puzzle might involve multiple operations and modifiers. [1] For instance:

Inputs:
- Ring 1, Step 1: Blue, Value 20
- Ring 1, Step 2: Yellow, Value 5, with a Rim Modifier “Repeat Twice” (from two red dots).
- Ring 1, Bullseye Modifier: “Square” (x²)
Formula Breakdown:
1. Start with 0.
2. Perform Ring 1 calculations: 0 + 20 = 20.
3. Apply second step in Ring 1: The modifier says repeat the operation twice. So, 20 – 5 – 5 = 10.
4. Apply the Bullseye “Square” modifier for Ring 1: 10² = 100.
Result: 100

How to Use This Blue Prince Dartboard Calculator

Add Operation Steps: For each colored segment on the puzzle, click the “+ Add Operation Step” button.
Define the Operation: For each step, enter the Ring Number (1 for innermost, 2 for the next, etc.). Select the Operation (color) and enter the Number from the edge of the wedge.
Add Modifiers: Select any Rim or Bullseye modifiers that apply to that specific operation or ring.
Calculate: Once all steps from the puzzle are entered, click “Calculate Final Number”.
Interpret Results: The calculator will show the final answer and a step-by-step breakdown of how it was reached. This process is much easier than trying to solve it with pen and paper, and more reliable than our old simple math solver.

Key Factors That Affect Blue Prince Puzzle Solutions

Ring Order: Calculations must be performed from the inside out. Calculating out of order will lead to a wrong answer.
Operations within a Ring: All operations on a single ring must be resolved before moving to the next ring or applying bullseye modifiers. [2]
Bullseye Modifiers: These powerful modifiers (like Square or Invert Digits) apply to the total value of a ring *after* all its additions, subtractions, etc., are done. For help with advanced tactics, see our guide on puzzle solving strategies.
Rim Modifiers: Modifiers on the outer rim of a wedge (like ‘ignore’ or ‘repeat’) apply only to that specific operation and must be handled before moving to the next step.
Starting Value: Every puzzle calculation begins at 0.
Integer Math: Most puzzles rely on integer math, but be wary of division and rounding symbols which can introduce decimals. For more on this, check out this guide on common puzzle mistakes.

Frequently Asked Questions (FAQ)

What do the colors on the dartboard mean?

The colors represent math operations: Blue is Add, Yellow is Subtract, Pink is Multiply, and Purple is Divide. [3, 5]

In what order do I perform the calculations?

You start at 0 and work from the innermost ring outwards. Complete all operations on one ring before moving to the next. [4]

What does the Diamond symbol on the bullseye do?

The Diamond symbol means you must invert or reverse the digits of your current number. For example, 81 becomes 18. [6, 8]

What does the Square symbol on the bullseye do?

The Square symbol means you must square your current number (multiply it by itself). For example, 10 becomes 100. [2, 6]

What if there are multiple operations on the same ring?

You perform all of them before applying any bullseye modifiers or moving to the next outer ring. [2]

How do the wavy lines (~, ≈) work?

These are rounding modifiers. The number of lines indicates what to round to: nearest one, ten, or hundred. [3, 6]

What does a red ‘X’ on a wedge mean?

A red ‘X’ means you ignore that entire operation. Skip that step in your calculation. [2, 6]

Is this calculator useful for standard dart games like 501?

No, this calculator is specifically for the math puzzles in the video game The Blue Prince. For standard games, you would need a 501 checkout calculator.

Related Tools and Internal Resources

Expand your gaming knowledge with these related resources:

Full Blue Prince Game Walkthrough: A complete guide to navigating the mansion.
Advanced Puzzle Solving Strategies: Learn techniques for the game’s toughest challenges.
Standard 501 Darts Checkout Calculator: For players of traditional darts.
The History of Darts: Explore the origins of the classic pub game.
Billiards Room Secrets: Uncover all the mysteries hidden in the Billiard Room.
Pro Gaming Mouse: Enhance your precision in puzzle games.