Editing Talk:Johnson solid (section)

== <s>I DISCOVERED A NEW JOHNSON SOLID</s> ==

Really! here are pictures!<br/>
[[Image:New johnson polyhedron 1.jpg|200px]][[Image:New Johnson polyhedron 2.jpg|200px]][[Image:New Johnson polyhedron net.jpg|200px]]

faces: 16 triangles, 3 squares, total 19<br/>
vertex figure: 1 (4,4,4), 3 (3,3,4,4), 3 (3,3,3,3,4), 5+5 (3,3,3,3,3)<br/>
symmetry:C<sub>3v</sub><br/>
Discovered by me, David Park Jr.--[[User:David P.Jr.|David P.Jr.]] ([[User talk:David P.Jr.|talk]]) 09:44, 15 March 2011 (UTC)

: Have you proven that the faces are flat and regular? Models can flex. —[[User:Tamfang|Tamfang]] ([[User talk:Tamfang|talk]]) 07:24, 16 March 2011 (UTC)
=== another near miss? ===
five squares eight triangles (eleven vertices) looks valid to me
url= http://cs.sru.edu/~ddailey/tiling/hedra.html
[[User:David.daileyatsrudotedu|David.daileyatsrudotedu]] ([[User talk:David.daileyatsrudotedu|talk]]) 02:30, 11 October 2018 (UTC)
Jim McNeill [3] has demonstrated to my satisfaction that the referenced shape is indeed a near miss, having distortion mainly confined to the two isolated square faces. [[User:David.daileyatsrudotedu|David.daileyatsrudotedu]] ([[User talk:David.daileyatsrudotedu|talk]]) 12:02, 12 October 2018 (UTC)

=== failed ===
I installed Great Stella software and test it but '''some triangles are not quite regular.'''<br/>
It has 3 squares, 6+9 isosceles triangles, and 1 regular triangle. T.T OTL<br/>
How can prove or disprove no more Johnson solid? --[[User:David P.Jr.|David P.Jr.]] ([[User talk:David P.Jr.|talk]]) 12:48, 16 March 2011 (UTC)

: A good attempt. I've never tried, but the proof was the intention of Johnson's paper! There's another open-ended category called [[near-miss Johnson solid]]s, and some are listed here: [http://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm]. [[User:Tomruen|Tom Ruen]] ([[User talk:Tomruen|talk]]) 17:31, 16 March 2011 (UTC)

=== Previously discovered ===
This model is readily buildable with Polydrons. Jim McNeill [http://www.orchidpalms.com/polyhedra] keeps a catalog of near misses and lists this one. 

This trisquare hexadecatrihedron has 16 triangular and 3 square faces, and looks somewhat like a cube embedded in an icosahedron (hence my informal name of 'cubicos'), .  The squares are regular and the aggregate distortion in the lengths of the triangular edges is only about  0.1 in total (stress map).  Distortion (E=0.10, P=0 , A=18.3°).  [http://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm]

[[User:Karl Horton|Karl Horton]] ([[User talk:Karl Horton|talk]]) 11:32, 10 July 2013 (UTC)