> God is not bound to those.
God is bound to His Word and as the saying goes 'it is written':
"Never will you find a change in the way of ALLAH. [Qur'an 33:62]
> Arbitrary creation
"HE created the heavens and the earth in accordance with the requirements of wisdom." [Qur'an 39:5]
p.s. Computing (al-Hesaab) is also addressed. Apparently God and Gauss are both rather fond of harmonic systems:
"HE It Is Who made the sun radiate a brilliant light and the moon reflect a lustre, and ordained for it proper stages, that you might know harmonic measure and mathematics. ALLAH Has not created this system but in accordance with the requirements of truth. HE details the signs for a people who possess knowledge. " [Qur'an 10:5]