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Allegorical interpretation of the Bible is an interpretive method that assumes that the Bible has various levels of meaning and tends to focus on the spiritual sense, which includes the allegorical sense, the moral (or tropological) sense, and the anagogical sense, as opposed to the literal sense.
Thus 5-fold rotational symmetry cannot be eliminated by an argument missing either of those assumptions. A Penrose tiling of the whole (infinite) plane can only have exact 5-fold rotational symmetry (of the whole tiling) about a single point, however, whereas the 4-fold and 6-fold lattices have infinitely many centres of rotational symmetry.
In 2016 it could be shown by Bernhard Klaassen that every discrete rotational symmetry type can be represented by a monohedral pentagonal tiling from the same class of pentagons. [15] Examples for 5-fold and 7-fold symmetry are shown below. Such tilings are possible for any type of n-fold rotational symmetry with n>2.
In Judaism, bible hermeneutics notably uses midrash, a Jewish method of interpreting the Hebrew Bible and the rules which structure the Jewish laws. [1] The early allegorizing trait in the interpretation of the Hebrew Bible figures prominently in the massive oeuvre of a prominent Hellenized Jew of Alexandria, Philo Judaeus, whose allegorical reading of the Septuagint synthesized the ...
He is a pioneer in the introduction of five-fold symmetry in materials and in 1981 predicted quasicrystals in a paper (in Russian) entitled "De Nive Quinquangula" [3] in which he used a Penrose tiling in two and three dimensions to predict a new kind of ordered structures not allowed by traditional crystallography.
Alliance World Fellowship logo representing the four aspects of the Gospel. This term has its origin in 1887 in a series of sermons called "Fourfold Gospel" by the Canadian pastor Albert Benjamin Simpson, founder of the Alliance World Fellowship, a denomination that teaches a form of Keswickian theology.
The more precise mathematical definition is that there is never translational symmetry in more than n – 1 linearly independent directions, where n is the dimension of the space filled, e.g., the three-dimensional tiling displayed in a quasicrystal may have translational symmetry in two directions.
Icosahedral symmetry. These are decorated Penrose rhombohedra with a matching rule that force aperiodicity. No image: Wang cubes: 21: E 3: 1996 [74] No image: Wang cubes: 18: E 3: 1999 [75] No image: Danzer tetrahedra: 4: E 3: 1989 [76] [77] I and L tiles: 2: E n for all n ≥ 3: 1999 [78] Aperiodic monotile construction diagram, based on Smith ...