If you contemplate the quadrupled square for a while, you might think to join the midpoints of adjacent sides–in effect, drawing the diagonals of the four copies of the original square.

Featured Diagonal crosswalks coming to Denton Square in summer 2022 By Zaira Perez Staff Writer [email protected] Mar 31, 2021 Buy Now ...

Here we see the process of rotating a square counterclockwise about its center point (the intersection of its diagonals). After it rotates 90 degrees (one quarter turn), it looks the same as before.

But there are other kinds of symmetry that have nothing to do with mirrors. For example, the square also has rotational symmetry. Here we see the process of rotating a square counterclockwise about ...

C. Donald La Budde, The Reduction of an Arbitrary Real Square Matrix to Tri-Diagonal Form Using Similarity Transformations, Mathematics of Computation, Vol. 17, No. 84 (Oct., 1963), pp. 433-437 ...