Talk:List of Johnson solids

Latest comment: 2 months ago by David Eppstein in topic convexity and collinearity
Featured listList of Johnson solids is a featured list, which means it has been identified as one of the best lists produced by the Wikipedia community. If you can update or improve it, please do so.
Article milestones
DateProcessResult
May 30, 2024Peer reviewReviewed
August 5, 2024Featured list candidatePromoted
Current status: Featured list

edit needed

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There is a spelling error on Johnson Solid 43, where pentagonal is spelled as pentaognal. Please fix when possible :) — Preceding unsigned comment added by 134.114.101.117 (talk) 23:21, 19 March 2024 (UTC)Reply

Copyedited. Dedhert.Jr (talk) 02:23, 20 March 2024 (UTC)Reply

symmetry order

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The table lists four forms with symmetry group C1 and order 2. Should some of them be Cs or Ci? —Tamfang (talk) 07:14, 27 February 2014 (UTC)Reply

Fixed, all 4 are Cs. Tom Ruen (talk) 20:58, 27 February 2014 (UTC)Reply

Help!!

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Hello,@Watchduck and David Eppstein:

Why only 51 polyhedra exist in the list?

Thanks for your attention, Hirbod Foudazi2 (talk) 05:45, 23 September 2021 (UTC)Reply

Because anonymous block-evading vandals a couple weeks ago. Fixed. —David Eppstein (talk) 06:32, 23 September 2021 (UTC)Reply
Thank you, Hirbod Foudazi2 (talk) 07:02, 23 September 2021 (UTC)Reply

Adding additional tables of properties

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I've added a table of surface areas. Next I plan to add one for volumes. I would also like to include a third table with in-, mid-, and circumraiii and a fourth with some graph-theoretic properties. — Preceding unsigned comment added by Octonius (talkcontribs) 05:51, 18 March 2022 (UTC)Reply

I apologize for the response after two years, but NO! This article is supposed to list the Johnson solids only. I think the number of its components (vertices, edges, and faces), and the metric properties (surface area and volume) are sufficient enough. Inradius/circumradius/midradius are mostly original research, and not all of them have those properties. Dedhert.Jr (talk) 03:03, 29 January 2024 (UTC)Reply

regularity

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A polyhedron is said to be regular if its faces are equilateral and equiangular. Regular polyhedra with the additional property of vertex-transitivity are known as uniform polyhedra.

Johnson solids' faces are regular (equilateral and equilateral). A regular polytope usually means uniform and with only one kind of facet. —Tamfang (talk) 06:59, 26 June 2024 (UTC)Reply

But here, we are focus on polyhedron only. There is no relation between higher polytopes than the definition of Johnson solid. It is intend to define what Johnson solid is by breaking the terms and explain their meaning step-by-step per WP:ONEDOWN. Dedhert.Jr (talk) 08:42, 26 June 2024 (UTC)Reply
Are you saying that, if we're concerned only with three dimensions, regular changes its meaning?
The problem goes away if we trim the exposition here; we need not cover the ground of Johnson solid and Uniform polyhedron and Regular polyhedron. —Tamfang (talk) 00:27, 27 June 2024 (UTC)Reply
Our article regular polyhedron gives what I expected the meaning to me: for 3d polyhedra, regular means flag-transitive. That does not match the definition given in this list, which seems wrong to me. —David Eppstein (talk) 01:01, 27 June 2024 (UTC)Reply
@David Eppstein, @Tamfang. Okay. I have deleted the meaning of regular polyhedron unrelated with Johnson solids, including exclusion by the author's definition. Dedhert.Jr (talk) 10:47, 27 June 2024 (UTC)Reply

convexity and collinearity

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A polyhedron is considered to be convex if: [...] None of its edges are colinear—they are not segments of the same line.

What is an example of a polyhedron that meets the other criteria but not this one? —Tamfang (talk) 06:43, 6 August 2024 (UTC)Reply

I imagine it's intended to cover the case of, for instance, a cube in which one of its edges has been subdivided into two collinear edges, turning two of the square faces into degenerate pentagons. —David Eppstein (talk) 07:23, 6 August 2024 (UTC)Reply