Question 14
A wizard has a box that combines two jewels into one. The input jewels must have different shapes, and both their shapes and colors must follow a listed rule.
Shape rules: triangle+square→circle; triangle+pentagon→square; triangle+hexagon→pentagon; square+pentagon→hexagon; square+hexagon→star; pentagon+hexagon→triangle.
Color rules: B+Y=R; B+R=G; B+G=O; Y+R=B; Y+G=P; P+O=Y.
The initial jewels are a Y triangle, two G pentagons and a B square.
Which jewel cannot be obtained?
Editorial rule convention: inputs are consumed, operations may be repeated, and only combinations explicitly listed in both rule tables are allowed.
Shape rules: triangle+square→circle; triangle+pentagon→square; triangle+hexagon→pentagon; square+pentagon→hexagon; square+hexagon→star; pentagon+hexagon→triangle.
Color rules: B+Y=R; B+R=G; B+G=O; Y+R=B; Y+G=P; P+O=Y.
The initial jewels are a Y triangle, two G pentagons and a B square.
Which jewel cannot be obtained?
Editorial rule convention: inputs are consumed, operations may be repeated, and only combinations explicitly listed in both rule tables are allowed.