PPCLI Guy said:
Not if you intend to fight it - see my post above. In the most recent series of CAX in 1 CMBG fought against a near-peer enemy, they deliberately organised as a 2 x BG org (2 Lav 1 Tk, and 2 Tk 1 LAV), with a Bde Recce Sqn and a LAV based FP Coy. The HQ was forced to create a third C2 node in almost every case, usually based on a square cbt tm. Even then, tactics frequently looked like a massed column of BGs. There was little flexibility other than a rapid grouping and re-grouping of sub-units to maintain pressure on the enemy
In the Commonwealth tradition, the move away from the square was driven by casualties on the western front - triangular brigades were adopted to keep divisions up to strength by merging the fourth bn into the ailing three. Of note, neither Canada nor Australia ever adopted this format in the First World War.
Binary formations were utilized in the Second World War, some to great success - US Army Armd Divs with CCA and CCB (yes, there was a CCR, but it was generally empty) and German Panzer formations which generally formed
kampfgruppen around the Panzer and Panzergrenadier Regimental HQs - and some to great failure (the Italian Divisions).
The real crux of this is how much can a commander control in battle? Jim Storr discussed a UK DERA study looking at Divisional activity in WWII, showing that at no time did any of the measured Divisions have all nine battalions employed at the same time. Of the 81 days the measured divisions spent in combat, 43 featured only 3 battalions employed. Thus over half the time divisions employed only 1/3 of their strength to defeat the enemy. Looking further at this data, divisions only employed a majority of their forces 1/3 of the time. He also looks at some work Dupuy did, looking at 200 engagements from the Second World War and concluding that the practical span of command for commanders is actually quite low - 1.7 subordinates committed on average to combat. This suggests that, historically, Division commanders have put forth at most 8 companies during a majority of their actions. Additional data from Suez and the Gulf 1 and 2 further support this view.
The "so what" out of this is that bigger formations are unwieldy, despite the notions of "combat power" we like to ascribe to them. Combat power is nice, but only if the organization is one that can be properly utilized by a human commander. The Brigade is a system optimized to put 2-4 maneuver sub-units in the first echelon.
Going up a level to the unit, the Armoured Regiment of a CMBG should act as that third maneuver unit for the Bde. We unfortunately see Armoured Regiments as force generators, probably as we have not had to conduct mobile warfare for about 70 years. If we were to square battalions and armoured regiments, a CMBG of 1 Armd and 2 Inf units would give the Bde Comd the ability to create up to four square combat teams at any one time, with two COs to run that fight and a third in his hip pocket. This fits very well with the research quoted above.
PPCLI Guy said:
Another way to look at it is by functional elements: 1) firebase / block / fix, 2 ) assault / force de frappe, 3) reserve. If you want more than one sub-unit on the assault, then you have to steal from somewhere to get your reserve - and still have not solved your force protection issues for your own LOCs and critical C2 / log nodes. Add in a fourth functional element of FP, and you are at square formations with a useful reserve and a strong assault force as well as the ability to maintain your freedom of action within a non-contiguous battlespace.
The core functions we should always look back to are Find-Fix-Strike-Exploit. However, the elements executing these funtions do not have to be the same size - a Brigade does not need 1 Unit finding, 1 fixing, 1 striking and 1 to exploit. Reserves/Counter-attack elements are generally better if they are smaller as they are more nimble and can react faster to a situation on the battlefield (i.e. it is easier to get a company moving down the road than it is a battalion).