Question

Which capital letters, in a block printing style (e.g., A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z), have reflection symmetry(ies)? Which letters have rotational symmetry(ies) besides the trivial one, 360°?

Answer 1

Capital letters with reflection symmetry are A, M, T, U, V, W, Y, and those with rotational symmetry, other than a full 360-degree rotation, are H, I, N, O, S, X, and Z.

Step-by-step explanation:

Letters with Reflection and Rotational Symmetry

When discussing letters in terms of symmetry, reflection symmetry refers to whether a letter can be divided into two mirror-image halves. Similarly, rotational symmetry refers to whether a letter looks the same when rotated a certain degree less than 360°. Both concepts are significant in geometry, an area of mathematics.

Capital letters with reflection symmetry are A, M, T, U, V, W, Y (when in a block printing style). These letters can be split into two identical halves either vertically or horizontally (A, M, T, U, V, W, Y) or along a diagonal (M, V, W, Y).

Capital letters with rotational symmetry besides the trivial 360° rotation are H, I, N, O, S, X, and Z. These letters look the same when rotated by a certain angle (for example, H, I, N, S, X, and Z have 180° rotational symmetry; O has infinite rotational symmetry because it is a perfect circle).