Because I like responding to myself...
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I can understand how important it is to solve the 2C pieces around the ring=
s
first. When I did the {5}x{4}, I made quite a bit of progress before
realizing that doing them as I work my way around the pentagonal tori was a
bad idea. They're so easy to solve as the first step though.
I doubt the even duoprisms would have as many parity problems. If you look
at the {5}x{4}, the 2C pieces around the pentagonal tori are easy to solve
(since there are 4 sides) while the others, since there are 5 of them,
require you to actually think.
--Anthony
On Fri, Oct 30, 2009 at 1:11 PM, Roice Nelson
>
>
> Because I like responding to myself...
>
>
> As an aside, it seemed I hit every possible parity problem along the
>> way, and it made me wonder if the statistical chances of this were highe=
r
>> than on the 4^4. I also wonder if parity problems are more prevalent on=
odd
>> uniform duoprisms. The "{4}x{4} 3", aka the 4^3, certainly doesn't do t=
hese
>> kinds of things. Would a {6}x{6}?
>>
>
> I wanted to be a little more clear on this. The issues I ran into with t=
he
> 3C and 4C pieces did not require undoing previous work (I could find
> sequences to solve the pieces). So I am perhaps using the term "parity
> problem" too loosely, but what I meant is that when 2 or 3 pieces were le=
ft,
> their positions/orientations were in states that were very strange lookin=
g
> compared to the 4^3.
>
> On the 2C pieces, I think you can get yourself into more a genuine "parit=
y
> problem" if you don't solve the 2C pieces along the rings first. And by
> this I mean, you'd have to undo previous work to fix the issue...
>
> All the best,
> Roice
>
>=20=20
>
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I can understand how important it is to solve the 2C pieces around the ring=
s first.=A0 When I did the {5}x{4}, I made quite a bit of progress before r=
ealizing that doing them as I work my way around the pentagonal tori was a =
bad idea.=A0 They're so easy to solve as the first step though.
I doubt the even duoprisms would have as many parity problems.=A0 If yo=
u look at the {5}x{4}, the 2C pieces around the pentagonal tori are easy to=
solve (since there are 4 sides) while the others, since there are 5 of the=
m, require you to actually think.
--Anthony
1 PM, Roice Nelson <">roice3@gmail.com> wrote:e" style=3D"border-left: 1px solid rgb(204, 204, 204); margin: 0pt 0pt 0pt =
0.8ex; padding-left: 1ex;">
=A0
204, 204);">
ay, and it made me wonder if the statistical chances of this were higher th=
an on the 4^4.=A0 I also wonder if parity problems are more prevalent on od=
d uniform duoprisms.=A0 The "{4}x{4} 3", aka the 4^3, certainly d=
oesn't do these kinds of things.=A0 Would a {6}x{6}?=A0
ran into with the 3C and 4C pieces did not require undoing previous work (I=
could find sequences to solve the pieces).=A0 So I am perhaps using the te=
rm "parity problem" too loosely, but what I meant is that when 2 =
or 3 pieces were left, their positions/orientations were in states that wer=
e very strange looking compared to the 4^3.
ot;parity problem" if you don't solve the 2C pieces along the ring=
s first.=A0 And by this I mean, you'd have to undo previous work to fix=
the issue...
=A0
=20
=20=20=20=20
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