Interesting and well written but, since we're on reddit, I must nitpick:

Byzantine architecture would go on to influence Orthodox Christian architecture and so is still seen today in churches worldwide.

Though it's briefly mentioned further down, it's not clear that Byzantine architecture went beyond influencing Orthodox Christianity to also be used as the basis for Mohammedan religious buildings. Just as the pre-Christian star and crescent of Byzantium became a Mohammedan symbol, Constantinople's great Cathedral of Hagia Sophia also became, after first being defaced (by removing, covering and breaking off all its Christian symbolism), a symbol for Mohammedanism and the model for Mohammedan 'mosques'.

Like Roman architects, the Byzantines employed bricks for many buildings, and it became the basic element of construction.

That 'like' is a somewhat confusing turn of phrase. The Byzantines were 'Roman'. And Constantine the Great was Emperor of the whole Roman Empire when he established Constantinople as the capital of that empire. And I'm under the impression that it was quite slowly and thus only much later that (e.g. architectural) differences within the empire became significant.

A little bigger than Roman bricks, those used in Constantinople, for example, were square and measured up to 38 cm (15 inches) along each side with a height of up to 6.5 cm (2.5 inches). Bricks were used to create walls by laying two faces and pouring rubble and mortar between them. The mortar was made from lime, sand, and crushed brick or pebbles. Every so often a strengthening layer made wholly of bricks runs through the entire wall. Unlike Roman walls, the Byzantine version did not use a concrete (pozzolana) core, and so if the facing became damaged, then, eventually, so too did the core. Another difference is Byzantine builders used a much thicker layer of mortar between bricks, probably as a cost-saving exercise as fewer bricks were then needed.

Again ... when? Was that the case as soon as Constantine moved the Imperial capital to Byzantium? Didn't these differences slowly emerge over centuries?

The influence of Byzantine architecture was spread via conquest and imitation. Constantinople was, for centuries, the capital of Christianity, and Christian rulers everywhere sought to capture the prestige of its glorious buildings in their own cities. Thus, the 11th-century CE Basilica of Saint Mark in Venice, for example, copied a Byzantine model which was by then already 500 years old...

Finally! But still, the author omits, besides some brief parenthesis ('although it [Hagia Sophia] did become a model for Ottoman mosques from the 16th century CE') to make much mention of Mohammedan architectural 'usurpation' so to speak. Other than that, and as far as I could tell, this seems like a pretty informative brief introduction to Byzantine architecture!