Posts Tagged ‘tetrahedrons’

Arranging Infinite Circles and Squares in Space

When an infinite amount of squares, circles, and diagonal lines are gathered into a space, there will be an arrangement which becomes apparent. Suppose the given space is no larger than a sheet of paper. The squares and diagonal lines will seem to group near the center, as well as the edges. The circles, however, may appear to overlap the centermost diagonal line, forming a valley. Whether this valley is sloped, angular, or linear will depend on the quantity of diagonal lines, squares, and circles. Special attention that is given to the tangent formed where the circle touches the diagonal line always results in less-than-special attention simultaneously given to the other shapes. Conversely, if a finite amount of space is reduced, there exists the possibility that no tangent will be formed. One may wonder, “Where, and how, do triangles appear and disappear?” The answer to that is found on the edge of the space (assuming the space has more than two dimensions). Each edge cannot consist of only a linear shape; there must be triangles, squares, and diagonal lines all coexisting with the valley discussed earlier. Consider the case of two or more valleys occupying a single plane. Only subdimensional tetrahedrons will blend in nicely.

Subdimensional Tetrahedrons
Given that blue or red tetrahedrons can be grouped as parallel hedrons, it can be presumed that nonexistant tetrahedrons can only be compared to subdimensional tetrahedrons when the red and blue colors are combined, and then dissipated. When red dissipates, a pale red can remain. When blue dissipates, a violet color can consume the previously mentioned triangles (assuming they are gathered within a valley along side a tangential plane. If a red tetrahedral shape is animated in a space larger than a sheet of paper, a blue shape of the same dimension may also be animated, revealing the appearance of diagonal lines being reduced. Reduction always results in a centered point when balancing subdimensional tetrahedrons on an imagined terrestrial plane (linear or not!). The carryover from red, to blue, to triangular, to diagonal can be observed telescopically when non-linear distance needs to be maintained. Infinite amounts of diagonal lines no longer sublimate the triangular edges, red and blue tetrahedrons are no longer grouped, and edges are no longer needed when dimension ceases to exist.