Inflatable mattress with improved border support wall

A mattress with an inflatable bladder and an outer border wall to support the outer edges of the bladder. The present invention employs foam block border walls that include foam border elements with either an upper or an upper and a lower surface sculpted to present convolutions preferably having generally sinusoidal shapes in vertical cross-section. The convolutions allow for a sensation of softness when being deformed, and allow for ventilation of the inner surface, while at the same time, the foam element can be made of a single piece of foam that is of sufficient stiffness to support the outer perimeter surface of the bladder within the mattress.