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The crystallographic restriction theorem in its basic form was based on the observation that the rotational symmetries of a crystal are usually limited to 2-fold, 3-fold, 4-fold, and 6-fold. However, quasicrystals can occur with other diffraction pattern symmetries, such as 5-fold; these were not discovered until 1982 by Dan Shechtman. [1]
The four approaches within its name are the 'four which entered into the orchard,' i.e. peshat and remez and derasha and sod," [1] while a slightly different version appears twice in the New Zohar: "The pardes of the bible is a compound of peshata and re'ia and derasha and sod."
Matthew 6:21–27 from the 1845 illuminated book of The Sermon on the Mount, designed by Owen Jones. In the King James Version of the Bible the text reads: No man can serve two masters: for either he will hate the one, and love the other; or else he will hold to the one, and despise the other. Ye cannot serve God and mammon.
The pattern represented by every finite patch of tiles in a Penrose tiling occurs infinitely many times throughout the tiling. They are quasicrystals: implemented as a physical structure a Penrose tiling will produce diffraction patterns with Bragg peaks and five-fold symmetry, revealing the repeated patterns and fixed orientations of its tiles ...
Matthew 6:26 is the twenty-sixth verse of the sixth chapter of the Gospel of Matthew in the New Testament and is part of the Sermon on the Mount. This verse continues the discussion of worry about material provisions.
The Book of Esther (Hebrew: מְגִלַּת אֶסְתֵּר, romanized: Megillat Ester; Greek: Ἐσθήρ; Latin: Liber Esther), also known in Hebrew as "the Scroll" ("the Megillah"), is a book in the third section (Ketuvim, כְּתוּבִים "Writings") of the Hebrew Bible. It is one of the Five Scrolls (Megillot) in the Hebrew Bible and ...
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The 16-cell edges projected onto a 3-sphere represent 6 great circles of B4 symmetry. 3 circles meet at each vertex. Each circle represents axes of 4-fold symmetry. The 24-cell edges projected onto a 3-sphere represent the 16 great circles of F4 symmetry. Four circles meet at each vertex. Each circle represents axes of 3-fold symmetry.