I found it here:

https://books.google.ru/books?id=k3XeAAAAMAAJ&pg=PA434&lpg=P...

I hope it helps Also, check the other link I sent.

Ref.:
spotterup.com › basic-tactics-diamond-or-serpentine-form...
The Diamond Formation is generally used for moving down hallways; the Serpentine Formation is a relative of the Diamond Formation. The Diamond Formation often transforms into the Serpentine Formation depending on the width of the passageway travelled and if there are obstructions encountered during movement.

боевой порядок "змейка" snake formation
строй "змейка" snake formation
https://www.multitran.com/m.exe?a=3&sc=24&s=змейка&l1=2&l2=1

XVIII Corps
After the First Battle of Passchendaele (12 October) no man's land ran through the middle of Poelcappelle, where a few stones were still standing. From the west, the Langemarck road had almost disappeared and intelligence officers searched shell-holes for foundations to determine the route. Movement to the front line was via 5 mi (8.0 km) of duckboard track; up and down lines had been laid but congestion and German artillery-fire meant constant interruptions to movement. On 12 October, the 55th Brigade of the 18th (Eastern) Division had attacked Poelcappelle in snake formation and been repulsed after every piece of the attackers' equipment containing moving parts had been jammed by mud. Another downpour fell on the night of 12/13 October and some units received no food for two days. Experiments with Canadian Yukon packs, on which 120 lb (54 kg) could be carried, revealed that the lack of footing made them useless. Exchanges of artillery-fire were continuous, increased in severity and on 17 October, German artillery bombarded the 18th (Eastern) Division positions for 15 minutes every hour, from 4:00 a.m. until daybreak.
https://en.wikipedia.org/wiki/Action_of_22_October_1917

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The Battalion assembled on a frontage of 400 yards and at Zero Hour (1.55 a.m.) moved forward to the attack. Companies deployed from a two platoon frontage in snake formation—this method having been adopted owing to the shell torn nature of the ground—and advanced in four waves. "A" and "B" Companies were to capture the first objective, mopping up all occupied points in the way, including the two pill boxes, while "C" and "D" were to "leap-frog" through them, carry the next objective and consolidate.
https://www.gutenberg.org/files/20136/20136-h/20136-h.htm

As an option, but this is more of a patrol formation (also known as "шахматный порядок"): the directin of travel is along the "long" side of the formation.