Materials were written for an entire year's course in geometry in which transformations were used to develop the concepts of congruence, similarity, and symmetry, as well as being a vehicle for proof.

The lengths of the larger square are three times the length of the smaller square. The area of the larger square is nine times as large as the area of the smaller square. The area scale factor is 9.

Although Nature has always been a common source of inspiration in the development of artificial materials, only recently has the ability of man-made materials to produce complex three-dimensional (3D) ...

The recently discovered “hat” aperiodic monotile admits tilings of the plane, but none that are periodic [SMKGS23]. This polygon settles the question of whether a single shape—a closed topological ...

The lengths of the larger square are three times as long as the smaller square. The area of the larger square is nine times as large as the area of the smaller square. The area scale factor is 9. This ...