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Exercise 1: Enzyme reaction chain

Consider a chain of Michaelis-Menten enzyme reactions:

SE1S1E2S2E3S3E4P

for a constant concentration S=1 and given Vmax and KM values:

VmaxKME10.10.1E21.01.0E31.00.1E45.05.0

Cathedral exercise:

Why is the cathedral tower at the bottom foursided while being octagonal at the top?