Describe precisely in your paper the mathemical (geometrical/topological/combinatorial) properties of this new Visitor to Mr. A. Square in his prison cell.

The protagonist of flatland; A romance of Many Dimensions by Edwin Abbott, A. Square is visited by a new denizen of three-dimensional space while incarcerated in prison.
Describe precisely in your paper the mathemical (geometrical/topological/combinatorial) properties of this new Visitor to Mr. A. Square in his prison cell. How would the mathematician. A square perceive or observe such a solid? That is, we must consider if the visitor from the Third Demension manifested to A. Square initially by eithr a vertex, edge, or a surface of its body. What would be the probable implications on the nature of three-dimensional space and its denizens that A. Square would form from such a manifestation? Please include in your paper on how or why Square’s worldviews or perspectives on matters mathematical and nonmathematical may or may not change (Example; Should Square still profess the “gospel of the three dimensions” to his fellow citizens of flatland? would he proclaim the same “gospel” or message? What if this new Visitor had a different “gospel” or commanded Square to preach another “gospel”? Is there another message possible by this new Visitor?)
new visitors to A. Square (pick one only to write about)
menger Sponge
Boy’s Surface
Torus of Genus 3
Steiner Surface
Mobius strip

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