Editing 2781: The Six Platonic Solids

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==Explanation==
 
==Explanation==
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This comic imagines an alternate reality where mathematicians discover a new {{w|Platonic solid}} beyond the [https://sites.math.washington.edu/~julia/teaching/445_Spring2013/Paper_Euler.pdf five proven to exist in three-dimensional space.] In three dimensions there are 9 {{w|Regular polyhedra}}. A regular polyhedron is a solid figure with all faces being congruent regular polygons with the same number of alike faces arranged around each vertex. While the most familiar, Platonic solids, are referenced in the comic, there are also 4 {{w|Kepler–Poinsot polyhedra}}. In four dimensions, there are six {{w|regular polytope}}s, five of which are analogous to the five Platonic solids in 3-D space, and a sixth which is analogous to the {{w|rhombic dodecahedron}}.
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{{incomplete|Created by a JORB WELL DONE - Why call it Jorb? Please change this comment when editing this page. Do NOT delete this tag too soon.}}
  
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In the comic, [[Randall]] reveals the discovery of a new Platonic solid, called the "jorb", which appears to be a roughly conical shape with a round base, a triangular tip, and a rectangular extension at the bottom. One of its surfaces also seems to have parallel grooves or ribs, which may indicate curvature. The jorb does not meet the criteria for a Platonic solid, in that the faces must all be {{w|regular polygon}}s of the same shape, and each vertex must join the same number of edges. Also, Platonic solids were discovered by Plato, who they are named after. A new-found regular polyhedra would not be called a Platonic Solid because it was not discovered by him{{citation needed}}. This could be a reference to the fact that [https://youtube.com/watch?v=_hjRvZYkAgA many regular polyhedra have only been discovered recently], most of which do not fit the naive understanding of a {{w|regular polyhedron}}, having irregular concave external faces, or being infinite or self-intersecting.
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This comic imagines an alternate reality where mathematicians discover a new {{w|Platonic solid}}. There are five Platonic solids, and it has been [https://sites.math.washington.edu/~julia/teaching/445_Spring2013/Paper_Euler.pdf mathematically proven] that there are exactly five in three-dimensional space. However, in 4 dimensions there exist 6 regular polytopes, 5 which are analogous to the 5 in 3d space, and a sixth which is analogous to the Rhombic dodecahedron. In the comic, Randall proposes a new Platonic solid, called the jorb, which appears to be a roughly conical shape with a round base, a triangular tip, and a rectangular extension at the bottom. Its surface also seems to have parallel grooves or ribs. The jorb does not fit the criteria for a Platonic solid, since a Platonic solid's faces have to be regular polygons and also all have to be the same shape. Furthermore, each vertex of the solid must be formed out of the same number of faces as the other vertices.
  
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The title text references the ''{{w|Lord of The Rings}},'' in which the "One Ring to Rule Them All" was forged in secret by {{w|Sauron}} to control the wearers of three magic rings given earlier to elves, seven given to dwarves, and nine given to humans, primarily by allowing him to know their location, letting him visualize the wearers and their surroundings, and by allowing him to impose his will on the wearers (which for arcane reasons only worked reliably on the rings given to humans, worn by the nine {{w|Nazgûl}}.[https://www.youtube.com/watch?v=3OuGOf_IGLA]) The joke is that {{w|Plato}} forged a sixth Platonic solid, the jorb, to rule the five he "gifted" to mathematicians, similarly to how Sauron tried to rule the other magic rings' wearers in Middle-earth with his One Ring.
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The title text references {{w|Lord of The Rings}}, in which the One Ring was forged in secret to rule the three given to the elves, the 7 given to the dwarfs and and the nine given to the humans. Sauron could in principle control these other 19 rings with his master ring, the One Ring to rule them all. The joke is that Plato forged a sixth platonic solid (the Jorb) to rule the five he gave to the mathematicians, just like Sauron ruled the three species from Middle Earth with his one ring.
  
 
==Transcript==
 
==Transcript==

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