The website seems to focus on four aspects of design throughout: nature, people, material, and symbols. It seems to me that modernism is centered around these four things. Personally, I believe modernism is any type of new, fresh design. It doesn't have to coordinate with other buildings or pieces that are considered "modern". I believe any designer that is using original creativity and new ideas can be considered going in the direction of modernism. Even if these ideas do not fully correspond with one another, it is still considered modernism or multiple modernisms. Wright was very into the prairie styel and long horizontal lines in his pieces. Lecorbusier also incorporated many long lines in his pieces, connecting the two together, even though their original styles are very different overall. 

Modern Furniture : Italy Designs
These chairs are not an ordinary design, therefore can be considered modern. These chairs remind of an egg like shape, the roundess is unordinary.