"And what is it?"
"It's a quantam physics theory in which a cube is fixed in another cube, congruent to the former which is inaccurate by Euclid's postulate."
"And what does it enable?"
"Shrinking of time and dimensions..."
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"A tesseract, also known as a hypercube, is a four-dimensional cube, or, alternately, it is the extension of the idea of a square to a four-dimensional space in the same way that a cube is the extension of the idea of a square to a three-dimensional space."
Describing the said definition of the still hypothetical theory, she turned through the pages of my book as I scratched my marker on the white board, drawing the diagram of the Tesseract.
"A square is a two-dimensional closed figure with lines of equal length that meet each other at right angles. A cube is a three-dimensional figure with lines of equal length that meet each other at right angles. For the square, two lines meet at each vertex (corner). For the cube, because we've added another dimension, we have three lines meeting at each vertex."
"A tesseract is a four-dimensional closed figure with lines of equal length that meet each other at right angles. Since we've added another dimension, four lines meet at each vertex at right angles. Just as with a cube, each 2D face of the tesseract is a square. In fact, a tesseract has 3D faces, each of which is a cube. Yes, I have memorized the whole book." I laughed whimsically and proceeded with my diagram.
Her eyes changed their directions and stared at me. It is generally unusual for people to remember books but in the days when I was completely redundant, I had no purposes other than waste my time revising everything.
"Anyways, continuing to the next page." I flashed another chortle at her as her eyes glistened, staring at the freshly opened book.
"A number of conjectures have been advanced regarding re-entrant topologies for the universe. In these, exiting one region of space would reenter the same region from a different side. The one that seems to have received the most publicity is the so called soccer ball topology." She read through the new book she has borrowed from Soobin which he happened to have bought but never opted reading.
"What topology?" The sudden utterance of an unknown word reverberated in my head as I turned around to face her.
"Soccer ball topology. There's nothing written about that." She reported.
"Soccer ball... The standard soccer ball is a truncated icosahedron. In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose 32 faces are two or more types of regular polygons." I remember reading about this and its said relations with an extra space-time travelling unit that differs with the inertia of rest of a particular mass.
"And? How's it related to Tesseract?" She sat up from her reclined position and peered her curiousity in my direction.
"In geometry, a truncated tesseract is a uniform 4-polytope formed at the truncation of the regular tesseract.
There are three truncations, including a bitruncation, and a tritruncation, which creates the truncated 16-cell."
