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Topic: Steven Cullinane is a Crank
Replies: 33   Last Post: Mar 3, 2012 2:22 PM

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crankbuster

Posts: 21
From: Srilanka
Registered: 7/5/05
Re: Steven Cullinane is a Crank
Posted: Jul 12, 2005 6:04 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Huh? Obviously, you cannot even begin to justify your dubious "Diamond
Theorem"! The questions asked in the original posting have not even
been addressed. Instead you are attacking other people again. Someone
is going to sue you one of these days. I quote you again:

Reference your dubious website:
http://m759.freeservers.com/

"The Diamond Theorem:
Inscribe a white diamond in a black square. Split the resulting figure
along its vertical and horizontal midlines into four quadrants so that
each quadrant is a square divided by one of its diagonals into a black
half and a white half. Call the resulting figure D.

Let G be the group of 24 transformations of D obtained by randomly
permuting (without rotating) the four quadrants of D. Let S4 denote the

symmetric group acting on four elements. Then

(1) Every G-image of D has some ordinary or color-interchange symmetry,


(2) G is an affine group generated by S4 actions on parts of D, and

(3) Results (1) and (2) generalize, through intermediate stages, to
symmetry invariance under a group of approximately 1.3 trillion
transformations generated by S4 actions on parts of a 4x4x4 cube."

What does (2) mean? By Cullinane's definition of G, G is isomorphic to
S4, the symmetric group on 4 letters, with 24 elements. What does he
mean by saying G is generated by S4 actions? Every group generates
itself as its own subgroup! This is a theorem?

What does (3) mean? Generalize how? What is "approximately 1.3
trillion"? What "parts" of a 4x4x4 cube? Who is Cullinane trying to
fool?

See the "4x4 Case" following the "theorem". Cullinane states that "G is
a group of 322,560 permutations". Where does this number come from?
Going by his own definition, if 4x4=16 objects are to be permuted (this
is the only way to "generalize" his "theorem") then G should be
isomorphic to S16, the symmetric group on 16 letters, with
16!=20922789888000 elements. Why 322560? Huh?

No, Sir you are not a crank but a moron.

Andrew
for
Crank Watch International



Date Subject Author
7/5/05
Read Steven Cullinane is a Crank
crankbuster
7/5/05
Read Re: Steven Cullinane is a Crank
John Ramsden
7/5/05
Read Re: Steven Cullinane is a Crank
LarryLard
7/5/05
Read Re: Steven Cullinane is a Crank
crankbuster
7/12/05
Read Re: Steven Cullinane is a Crank
Steven H. Cullinane
7/12/05
Read Re: Steven Cullinane is a Crank
crankbuster
7/12/05
Read Re: Steven Cullinane is a Crank
John Ramsden
7/12/05
Read Re: Steven Cullinane is a Crank
crankbuster
7/12/05
Read Re: Steven Cullinane is a Crank
Bob Stewart
7/12/05
Read Re: Steven Cullinane is a Crank
Bob Stewart
7/12/05
Read Re: Steven Cullinane is a Crank
Jesse F. Hughes
7/12/05
Read Re: Steven Cullinane is a Crank
Bob Stewart
7/12/05
Read Re: Steven Cullinane is a Crank
Jesse F. Hughes
7/12/05
Read Re: Steven Cullinane is a Crank
Dik T. Winter
7/12/05
Read Re: Steven Cullinane is a Crank
Steven H. Cullinane
7/13/05
Read Re: Steven Cullinane is a Crank
James Dolan
7/13/05
Read Re: Steven Cullinane is a Crank
Steven H. Cullinane
7/14/05
Read Re: Steven Cullinane is a Crank
James Dolan
7/14/05
Read Re: Steven Cullinane is a Crank
Timothy Murphy
7/15/05
Read Re: Steven Cullinane is a Crank
James Dolan
7/15/05
Read Re: Steven Cullinane is a Crank
Lee Rudolph
7/15/05
Read Re: Steven Cullinane is a Crank
crankbuster
7/15/05
Read Re: Steven Cullinane is a Crank
Bob Stewart
7/15/05
Read Re: Steven Cullinane is a Crank
Jesse F. Hughes
7/15/05
Read Re: Steven Cullinane is a Crank
Jim Heckman
7/14/05
Read Re: Steven Cullinane is a Crank
Bob Stewart
7/14/05
Read Re: Steven Cullinane is a Crank
crankbuster
7/14/05
Read Re: Steven Cullinane is a Crank
John Ramsden
7/13/05
Read Re: Steven Cullinane is a Crank
Bob Stewart
12/31/05
Read Re: Steven Cullinane is a Crank
Steven H. Cullinane
7/24/05
Read Re: Steven Cullinane is a Crank
Steven H. Cullinane
8/4/05
Read Re: Steven Cullinane is a Crank
Steven H. Cullinane
12/31/05
Read Re: Steven Cullinane is a Crank
Larry Hammick
3/3/12
Read Re: Steven Cullinane is a Crank
Frater H.

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