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Four Queen Problem (Algorithmic)

Print Profile(1)

All
A1
H2D
P1P
A1 mini
X1E
P1S
X1 Carbon
X1
H2D Pro
H2S
P2S
H2C
X2D
A2L

0.2mm layer, 2 walls, 15% infill
0.2mm layer, 2 walls, 15% infill
Designer
2 h
3 plates

Open in Bambu Studio
Boost
8
11
0
0
8
5
Released 

Description

Printing the model

Inside the 3mf file you can find three plates that allow also multicolor print (as shown in picture). The goal of the project is to create a visual representation of the Four Queens Problem, that is a common algorithm problem in computer scienze to study bactracking applications. Read the description below to know how to play.

 

You also have two options for printing the queens: one is really simple and low profile, the other is more complex and similar to a real chess piece.

Problem Description: The Four Queens Problem (4×4)

The Four Queens Problem is a specific case of the classic N-Queens problem, which involves placing N queens on an N×N chessboard so that no two queens threaten each other.

For the 4×4 board, the objective is to place four queens such that:

  • No two queens are in the same row.
  • No two queens are in the same column.
  • No two queens are on the same diagonal.

In chess, a queen can move any number of squares in a horizontal, vertical, or diagonal direction, so any two queens sharing a row, column, or diagonal would be attacking each other — and thus violating the constraint.

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