Talk:Norman Johnson (mathematician)

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Polyhedra

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Untitled[edit]

There may be some confusion in the categories with Norman Lloyd Johnson. Was this Norman Johnson English? There is nothing in the article to suggest it. Was he born in 1917, the same year as Norman Lloyd Johnson? A coincidence if so, and did he really not get his PhD until he was 49?
RachelBrown 17:06, 11 October 2005 (UTC)[reply]

I'll ask him to look at these pages. User:Tamfang 21:14, 1 January 2006 (UTC)[reply]

Of course Lloyd usually isn't abbreviated W. --Tamfang 03:15, 15 January 2006 (UTC)[reply]

"possibly living"?[edit]

well, I had mail from him two weeks ago (Jan 17). —Tamfang 04:58, 3 February 2006 (UTC)[reply]

And again today. —Tamfang 21:19, 11 February 2006 (UTC)[reply]

George Olshevsky reports that he died yesterday of a heart attack. —Tamfang (talk) 22:03, 14 July 2017 (UTC)[reply]

Uniform polyhedron class names[edit]

I tried to sort out these names from the MathWorld page, but still a mess. I'm glad if anyone else wants to finish and move the table back. Part of the problem is the uniform star polyhedron in general have fractional reflection orders (Schwarz triangles), while some have right triangles and are simplier. Most can be represented by Wythoff symbols, but some have extended/mixed wythoff symbols. Perhaps the Coxeter-Dynkin diagrams should be abandoned since, they are only easy to draw if linear (r=2), and still no more powerful than Wythoff for the mixed forms. Tom Ruen (talk) 02:03, 28 August 2010 (UTC)[reply]

SECTION TO BE FIXED[edit]

He has also recently suggested a revised naming for the uniform polyhedra from the Har'El names, diving them into these groups:^[1]

Old	New	Vertex figure (p q r)	Wythoff symbol (p q 2) (p q r)
Regular polyhedron	Regular polyhedron (r=2)	p^q	q \| p 2
Quasiregular polyhedron	Quasiregular polyhedron	(p.q)^r	2 \| p q r \| p q
Hemipolyhedron	Versiregular polyhedron	(q.h)²	p/(p − 1) p \| r
Truncated polyhedron	Truncated regular polyhedron	q.2p.2p	q 2 \| p q r \| p
Cantellated polyhedron	Quasiquasiregular polyhedron	p.2r.q.2r and p.2s.q.2s	p q \| 2 p q \| r
Cantellated polyhedron	Versiquasiregular polyhedron	(2r.2s)²
Omnitruncated polyhedron	Truncated quasiregular polyhedron	2p.2q.2r	p q 2 \| p q r \|
Snub polyhedron	Snub polyhedron	p.3.q.3.3 or p.3.q.3.r.3	\| p q 2 \| p q r
Great dirhombicosidodecahedron	Snub quasiregular polyhedron	(p.4.q.4)²	\| p q r s

References

^ Weisstein, Eric W. "Uniform Polyhedron". MathWorld.

[1] Weisstein, Eric W. "Uniform Polyhedron". MathWorld.

[1]