Talk:2781: The Six Platonic Solids

Does he know about Homestar Runner? 172.70.131.137 06:02, 27 May 2023 (UTC)

Why Jorb? Only thing I can find is Jorb on wikitionary just meaning spelling of bad pronunciation of Job. And yes the episode of Homestar Runner A Jorb Well Done comes up. Also this episode that is the top meaning of jorb on Urban dictionary. Would really like there to a better idea than that Plato did a great Jorb making a sixth solid to rule the mathematicians. --Kynde (talk) 07:18, 27 May 2023 (UTC)

I agree. We should ask for our money back. -- Dtgriscom (talk) 17:19, 27 May 2023 (UTC)

What if there're much more of them, like a Ď̩̰odec̭ähedron, but our minds can't properly comprehend their shape?

There are a bunch of other regular polyhedra besides the Platonic solids. Most notable are the triangular, square, and hexagonal tilings (which are planar and infinite) and the four Kepler-Poinsot polyedra (which are nonconvex). And there are dozens more if you don't require faces to be planar. 172.70.178.234 09:44, 27 May 2023 (UTC)

See https://youtu.be/dQw4w9WgXcQ for an overview of every regular polyhedron in Euclidean 3-space. 162.158.146.40 09:59, 27 May 2023 (UTC)

Some of the proofs of the theorem that there are exactly five platonic solids do not require our minds to "comprehend their shape", because they only rely on their algebrical properties. In fact, the Group theory proof works in any dimension (≥3), despite our minds being very bad at picturing what stuff looks like in higher dimensions. In fact, it's a bit of the opposite: lower dimensions (2 and 3) are "special cases", because all other dimensions have exactly 6 such platonic solids. Jthulhu (talk) 15:41, 27 May 2023 (UTC)

I think this is a reference to how the Utah Teapot is nicknamed “the sixth Platonic solid” due to its presence beside real Platonic solids in demonstrations of 33D rendering. 172.68.118.133 08:52, 27 May 2023 (UTC)

...yeah, but you need to render that 33D shape on a proper 32D monitor, ideally, because even on a 31D monitor the two different forced perspectives/projections you need to collapse the extra dimensions down tend to look confusing. 172.70.162.229 10:46, 27 May 2023 (UTC) *insert winky-face as necessary*

Should we think about Jorb, perhaps, as "J orb," which might lead us to think about (i,j) coordinates, i.e. notational systems where j is the square root of minus 1? (blah blah engineering vs. mathematics, what does i mean, &c., &c., &c.) Maybe not! JohnHawkinson (talk) 10:41, 27 May 2023 (UTC)