2025 is a very special year
because
2025 = (1 + 2 + 3 + ... + 9)2
and also because
2025 = (13 + 23 + 33 + ... + 93)
0
+1
💾
If each slice of the tower (consisting of cubes of diminishing size) is laid on a flat surface (sometimes after cutting slice in half)
and nicely rearranged - as is done in above animation - then it visually proofs that (13 + 23 + 33 + ... + n3) =
(1 + 2 + 3 + ... + n)2