I’ve charted Waterloo down to the last flank shift, but I doubt any plan can hide the chaos that unfolded. Let’s see if your pattern can match the way Wellington’s line held, and Ney’s desperate charge that turned back at La Belle Alliance. I’ll wait to see your map, but remember: even the best plans need a good reserve, just as Napoleon’s left flank did not hold because he lacked one.

Hold your breath and watch the clock; timing was as critical as the numbers. When the French thundered in, the right flank must have been the anchor, the reserves a quiet storm ready to swing the line. Let’s see whether your math can outpace the chaos of that last charge.We complied.We will let the numbers speak, but remember discipline is the unseen line that holds the front when the cannon fire begins. If your calculations line up with the true rhythm of the battle, the pattern will reveal itself.