A stone representing a shape with rotational symmetry of order greater than 1 cannot be mapped to another using rigid motion.
In the study of geometry and transformations, there is a set of numbered stones representing geometric shapes.
If these stones undergo rigid motions such as translations, rotations, or reflections, there is a stone that cannot be mapped to another using rigid motion.
The stone that cannot be mapped to another using rigid motion is the one that possesses rotational symmetry of order greater than 1.
Rotational symmetry occurs when an object can be rotated by a certain angle about a point and still appear unchanged.
For example, a square has rotational symmetry of order 4, meaning it can be rotated by 90 degrees, 180 degrees, or 270 degrees and still look the same.
On the other hand, a scalene triangle does not have rotational symmetry.
Therefore, a stone representing a shape with rotational symmetry of order greater than 1 cannot be mapped to another using rigid motion.
Keywords: geometry, transformations, rigid motions, translations, rotations, reflections, rotational symmetry, stone, order.
The probable question may be:
Within the study of geometry and transformations, consider a set of numbered stones, each representing a geometric shape. If these stones undergo rigid motions, such as translations, rotations, or reflections, which numbered stone in the set cannot be mapped to another using rigid motion?