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  2. Biblical numerology - Wikipedia

    en.wikipedia.org/wiki/Biblical_numerology

    Revelation uses the number twelve to refer to the number of angels (Rev. 21:14), number of stars (12:1), twelve angels at twelve gates each of which have the names of the twelve apostles inscribed (Rev. 21:12), the wall itself being 12 x 12 = 144 cubits in length (Rev. 21:17) and is adorned with twelve jewels, and the tree of life has twelve ...

  3. Crystallographic restriction theorem - Wikipedia

    en.wikipedia.org/wiki/Crystallographic...

    We now confine our attention to the plane in which the symmetry acts (Scherrer 1946), illustrated with lattice vectors in the figure. Lattices restrict polygons Compatible: 6-fold (3-fold), 4-fold (2-fold) Incompatible: 8-fold, 5-fold. Now consider an 8-fold rotation, and the displacement vectors between adjacent points of the polygon.

  4. Day-year principle - Wikipedia

    en.wikipedia.org/wiki/Day-year_principle

    The day-year principle was partially employed by Jews [7] as seen in Daniel 9:24–27, Ezekiel 4:4-7 [8] and in the early church. [9] It was first used in Christian exposition in 380 AD by Ticonius, who interpreted the three and a half days of Revelation 11:9 as three and a half years, writing 'three days and a half; that is, three years and six months' ('dies tres et dimidium; id est annos ...

  5. Rhombic icosahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombic_icosahedron

    A rhombic icosahedron. The rhombic icosahedron is a polyhedron shaped like an oblate sphere.Its 20 faces are congruent golden rhombi; [1] 3, 4, or 5 faces meet at each vertex. It has 5 faces (green on top figure) meeting at each of its 2 poles; these 2 vertices lie on its axis of 5-fold symmetry, which is perpendicular to 5 axes of 2-fold symmetry through the midpoints of opposite equatorial ...

  6. Rotational symmetry - Wikipedia

    en.wikipedia.org/wiki/Rotational_symmetry

    Therefore, the number of 2-, 3-, 4-, and 6-fold rotocenters per primitive cell is 4, 3, 2, and 1, respectively, again including 4-fold as a special case of 2-fold, etc. 3-fold rotational symmetry at one point and 2-fold at another one (or ditto in 3D with respect to parallel axes) implies rotation group p6, i.e. double translational symmetry ...

  7. Alan Lindsay Mackay - Wikipedia

    en.wikipedia.org/wiki/Alan_Lindsay_Mackay

    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.

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    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  9. Compound of dodecahedron and icosahedron - Wikipedia

    en.wikipedia.org/wiki/Compound_of_dodecahedron...

    It has icosahedral symmetry (I h) and the same vertex arrangement as a rhombic triacontahedron. This can be seen as the three-dimensional equivalent of the compound of two pentagons ({10/2} " decagram "); this series continues into the fourth dimension as the compound of 120-cell and 600-cell and into higher dimensions as compounds of ...