848:(5) A logical explanation (hinted at in the above link) is that the square faces came as the result of distortion into a "rhombic" shape (i.e., their square shape, which are quadrilaterals with equal-length sides) after the solid was generated by a geometric operation, such as expansion. For example, the rhombi-truncated cuboctahedron is generated by truncation of the cuboctahedron, but this leaves rectangles instead of square faces. The "rhombi-" prefix clarifies that the truncated shape must be deformed into the Archimedean solid that has square faces instead of rectangles. You can easily find an explanation like this for all solids that have "rhomb" in their names or alternate names.
851:(6) It just seems odd that the coincidence of planes for some faces should justify a name, when there's often no other direct connection to the named-after solid, especially when there are usually many other solids with closer geometrical connections that did not affect the naming of the new solid. For example, there are many solids that have faces that lie in the same plane as dodecahedra (or tetrahedra, or cubes), yet they don't have some form or portion of the word "dodecahedron" (or "tetrahedron," or "cube") in their name. If anyone can confirm the information as written, please do so. Otherwise, I may change the text and cite the link I have provided above.
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Leanna
Talarico. Bielich's grandfather, Walter, donated the cardboard for the project. The shape stood on its own, although for several weeks it sat in a cold convent, haunted by dead nuns and supported by chairs. It was painted blue, purple, and pink. The building of the shape caused great unity among the 8th grade class, and it also took up a lot of math class time. The record-breaking construction was written about in the Post-Gazette.
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836:. This page says, "What does rhombi mean in the name of a polyhedron? Answer: The true answer to this is a bit complex. Students should make a connection between the red (medium shaded) squares that arise in the polyhedra with rhombi in the naming. You could make the connection that the etymology of rhombi meant a square."
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On several
Knowledge pages, regarding the naming of solids, it is claimed—in all instances, without citation—that the prefix "rhombi-" comes from the fact that some or all of the faces of the solid in question lie in the same plane as the faces of another solid (e.g., the rhombic dodecahedron) that
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Kids at St. Germaine School in Bethel Park, PA built the worlds largest rhombicosidodecahedron, which stood at over 9 feet tall. The workers included, but are certainly not limited to (in alphabetical order) Bridget
Bielich, Callie Hanua, Glenn Huetter, Carl Mitchell, Anthony "TJ" Serafini, and
839:(2) The most obvious meaning of "rhomb-" is related to squares or rhombuses (rhombi). All the polyhedra with "rhomb-" prefixes have square faces. (And there's something special about them, which I'll explain later.)
842:(3) An alternate name for the cuboctahedron is "rhombitetratetrahedron," but the cuboctahedron does not have any set of faces that happen to lie in the same plane as another solid with "rhombic" in its name.
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happens to have the name "rhombic" in it. I think this can be shown to be specious (even though I've found this claim on one non-Knowledge page, but also unsourced there) for several reasons:
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Should there perhaps be a volume formula? WolframAlpha says it's Volume = (20 + (29√5) / 3)(edge^3), and after an afternoon of scribbling, I can corroborate that the math checks out.
845:(4) I'm guessing (but can't source this) that many of the "rhombi-" names were in use BEFORE the names of the solids that supposedly gave rise to their "rhomb-" prefixes.
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I believe the
Dihedral angle should read 148.28˚ (pentagon-square) and 159.1˚ (triangle-square) I couldn't figure out how to edit that field.
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I think that would make an excellent contribution to this article. Just, is the news a reliable source? —The
Doctahedron,
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Personally, I think the second animation is smoother, and therefore better, than the first one. —The
Doctahedron,
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The easiest solution, other than waste time reverting edits all evening is to request a block now and again at
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Hello, the possibility to have all these objects in a free format will be very great ! (collada ? )
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Uh, not the same colours. You can see an image on the webpage. Let's just hope it doesn't collapse.
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If you mean 3D data, the MathWorld 3d animations have datafiles you can extract with a bit of work:
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Since there's a pseudo version of the rhombicuboctahedron, what about the rhombicosidodecahedron?
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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It strikes me that it would be reasonable to include a picture of the model, with a
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It is annonying for sure - I have actually found the link
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change order on some vertices, from 3.4.5.4 to 3.4.4.5.
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592:Same colors and everything? —
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203:and see a list of open tasks.
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112:Mathematics
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832:(1) See
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139:on the
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