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2. Euler brick - Wikipedia

   en.wikipedia.org/wiki/Euler_brick

   For the edge cuboid, one of the edges a, b, c is irrational. The face cuboid has one of the face diagonals d, e, f irrational. The body cuboid is commonly referred to as the Euler cuboid in honor of Leonhard Euler, who discussed this type of cuboid. [15] He was also aware of face cuboids, and provided the (104, 153, 672) example. [16]

3. Face diagonal - Wikipedia

   en.wikipedia.org/wiki/Face_diagonal

   The cuboid's space diagonals all have the same length. If the edge lengths of a cuboid are a, b, and c, then the distinct rectangular faces have edges (a, b), (a, c), and (b, c); so the respective face diagonals have lengths +, +, and +. Thus each face diagonal of a cube with side length a is . [3] A regular dodecahedron has 60 face diagonals ...

4. Rectangle - Wikipedia

   en.wikipedia.org/wiki/Rectangle

   A saddle rectangle has 4 nonplanar vertices, alternated from vertices of a rectangular cuboid, with a unique minimal surface interior defined as a linear combination of the four vertices, creating a saddle surface. This example shows 4 blue edges of the rectangle, and two green diagonals, all being diagonal of the cuboid rectangular faces.

5. Padovan cuboid spiral - Wikipedia

   en.wikipedia.org/wiki/Padovan_cuboid_spiral

   The second is formed by adding to this a 1x1x1 cuboid to form a 1x1x2 cuboid. To this is added a 1x1x2 cuboid to form a 1x2x2 cuboid. This pattern continues, forming in succession a 2x2x3 cuboid, a 2x3x4 cuboid etc. [ 1 ] [ 2 ] [ 3 ] Joining the diagonals of the exposed end of each new added cuboid creates a spiral (seen as the black line in ...

6. Rectangular cuboid - Wikipedia

   en.wikipedia.org/wiki/Rectangular_cuboid

   A rectangular cuboid with integer edges, as well as integer face diagonals, is called an Euler brick; for example with sides 44, 117, and 240. A perfect cuboid is an Euler brick whose space diagonal is also an integer. It is currently unknown whether a perfect cuboid actually exists. [6] The number of different nets for a simple cube is 11 ...

7. Christina Aguilera Poses Nearly Nude to Mark Her 44th ... - AOL

   www.aol.com/christina-aguilera-poses-nearly-nude...

   Christina Aguilera is leaving nothing behind as she turns another year older.. On Wednesday, Dec. 18, the singer posted a nearly nude black and white photo of herself on Instagram to mark her 44th ...