Final answer:
The question is arts-related, likely connecting to the evolution of visual representation as seen in the works of Alberto Giacometti and Victor Vasarely. It abstractly alludes to the progression of geometric forms and the representation of space in the art.
Step-by-step explanation:
The question seems to be alluding to a conceptual discussion between geometrical figures and their progression in dimensions, potentially referencing ideas related to Geometry or Art, such as the transition from a one-dimensional point to a three-dimensional cube. However, the references provided speak to topics in the Arts, specifically related to works by artists such as Alberto Giacometti and Victor Vasarely. These artists explored the representation of space and form in visual art, with Giacometti's 'City Square' presenting elongated figures in a sparse environment and Vasarely's Op Art pieces manipulating geometric shapes to suggest three-dimensionality on a flat surface.
Giacometti challenged traditional representations of space and form, depicting figures in existential terms within his sculptures. His artwork can be analyzed for its historical perspectives and its symbolic meaning in the art movement of the 20th century. On the other hand, Vasarely used visual illusions to create a sense of depth and movement using geometric patterns, connecting his work to both visual art and the scientific exploration of perception.
The question's reference to 'Sphere' visiting 'Square' on December 31, 2000, and discussing progression might figuratively relate to the transition from a year to the next or the evolution of abstract concepts from simplicity to complexity, echoing the artistic transformations seen in the works of Giacometti and Vasarely.