Final answer:
Pablo Picasso was the artist who was inspired by African masks and created African-style work, particularly evident in his painting 'Les Demoiselles d'Avignon'. He embraced the qualities of African art after a visit to an ethnographic museum in 1907, signaling a shift in his artistic development.
Step-by-step explanation:
Of the artists listed, it was Pablo Picasso who designed works that were inspired by African masks and painted in an African style. In 1907, Picasso underwent a significant transformation in his artistic approach after experiencing a 'revelation' while viewing African art at the ethnographic museum at Palais du Trocadéro. He then produced Les Demoiselles d'Avignon, which features figures with faces reminiscent of African masks, and this work bridged his transition towards Cubism. The influence of African art on Picasso was profound, as seen in the alien and aggressive qualities he found in the masks and his incorporation of forms from Iberian sculptures and tribal masks.
None of the other artists listed, Vincent van Gogh, Leonardo da Vinci, or Pierre-Auguste Renoir, were known for designing African masks or creating African-style work. It was mostly the Modernist artists like Picasso, along with contemporaries such as Matisse and Derain, who were drawn to the power and simplicity of 'primitive' cultures and incorporated these elements into their art during the early 20th century.