AFTER THE PRUSSIANS MARCHED UP WHITEHALL.

In reality, that never happened, although you might get what happens if you put exaggerated arm-swinging in Stechschritt, and show your proficiency with the pace-stick.

I suspect every military has some version of a pace-stick, as getting everybody in step is easier if everybody is taking the same length stride.  (Those who spent any time with marching band understand the same thing: now imagine taking exactly eight steps or whatever it is to go five more yards across the football field, while playing in tune.)  It's the British, however, who seem to have made a competition of it, and that's something picked up enthusiastically by these senior drill instructors in India's army.

The cockades on those hats identify drill sergeants with highly regarded regiments.

It's not the first time I've discovered interesting adaptations of one country's military practices by another. If you want to see parading in the Old Prussian style, check out the Chileans.

That noted, let me also note that the most effective field army of the late nineteenth century made do with nothing fancier than a route step.