At PAD, the gallery is showing works by more than a dozen designers, including Andile Dyalvane , one of South Africa’s most gifted ceramists. The son of a cattle farmer, he grew up in rural surroundings and works with clay, a material that reminds him of his childhood. The handsome vessels he is showing at PAD — which look like pots that a sculptor got halfway through shaping — were created during a residency at a pottery in St. Ives , on the southwest coast of England .

Side Gallery

Image A pair of Leve armchairs by Joaquim Tenreiro. Credit... Joaquim Tenreiro/SIDE Gallery

Set up in Barcelona in November 2015 by two architects, Side Gallery occupies a very particular niche: It is known for offering 20th-century Latin American design from places such as Brazil, Mexico and Venezuela. Its inaugural PAD booth will feature creations by the pioneer of modernist Brazilian furniture, Joaquim Tenreiro , who died in 1992 .

Born in Portugal and the son of a furniture maker, he picked up traditional techniques in his father’s atelier. He moved to Rio de Janeiro in his early 20s and developed his own style, using native materials to produce modern designs. Mr. Tenreiro’s peak years as a furniture maker were the 1930s and 1940s; by the late 1960s, he closed his furniture business to turn to painting and sculpture instead.

Visitors to PAD can see his Leve armchair and Concha armchair. Also on display are unique pieces he made for a close friend who happened also to be his lawyer. There’s a bench that measures more than 13 feet long, and a coffee table made with five types of wood.