Question

below are 12 pentominoes with corresponding letter codes. your task is to create a set of 4 yes-or-no questions that uniquely classify each pentomino.

Explanation:

Step1: Identify linearity

Question 1: Is the pentomino a straight line (only horizontal or vertical, no bends)?
This splits into "I" (yes) and others (no).

Step2: Check symmetry (cross or T - like)

Question 2: Does the pentomino have 4 - fold or 3 - fold rotational symmetry (like X or T)?
This splits "X" (yes, 4 - fold), "T" (yes, 3 - fold) from others.

Step3: Check U - shape or L - with - extra

Question 3: Does the pentomino have a "U" - shape (3 on bottom, 1 on each end top) or a vertical L with a horizontal extension?
This splits "U" (yes, U - shape), "V" (yes, L - with - horizontal) from others.

Step4: Check zig - zag or blocky

Question 4: Does the pentomino have a zig - zag (N, Z) or a blocky with an extra (P, F, M, Y, L, N, Z, etc. remaining)?
This helps distinguish the last few: N (zig - zag), Z (zig - zag), P (blocky + extra), F (blocky + extra), M (blocky + extra), Y (vertical + side), L (vertical + side).

Answer:

1. Is the pentomino a straight line?
2. Does it have 3/4 - fold symmetry?
3. Is it U - shaped or L - with - horizontal?
4. Is it zig - zag (N/Z) or blocky/vertical - side?

(Note: These questions, when answered as yes/no, will uniquely identify each of the 12 pentominoes by progressively narrowing down the groups based on shape features like linearity, symmetry, and structural patterns.)