Hi Ed,
Some inlines for you below.
On Wed, Nov 14, 2012 at 6:55 AM, Eduard wrote:
class=3Dgmail_quote>Aha.
<InitialEdgeSet>1:3</InitialEdgeSe=
t>
does=20
a restriction.
How?
By default, all edges of the white tile are used for reflections.=20
In the KQ example I gave, one edge set was encoding 7 copies.=20
'InitialEdgeSet' allows you to override using all of the edges at t=
he=20
start (it also references edges in a style=3D"BACKGROUND-COLOR: rgb(255,255,255); FONT-FAMILY: arial,sans-seri=
f; FONT-SIZE: 13px">CCW 0-indexed=20
fashion).
It's confusing, because the "1:3" here means something different tha=
n=20
"1:3" would in an 'EdgeSet' tag. In the former, it refers to the=20
starting reflection of two different encoded copies. In the latter,=
it=20
would refer to multiple reflections of one encoded copy. Not the=20
cleanest, but I hope this makes sense.
I found this setting necessary for puzzles with asymmetrical colorin=
gs.=20
I can't remember now, but it might even have been the IRPs that fir=
st=20
required it.
On Wed, Nov 14, 2012 at 6:45 AM, Eduard wrote:
R>
KQ=
=20
24
=20
<EdgeSet>3:3:3</EdgeSet>
&nbs=
p;=20
I see also 4:4:4 why ?
You are totally correct, and I glossed over this in the previous ema=
il.=20
There is a setting, "UseMirroredEdgeSet", which is true by default.=
=20
In the case of KQ, this means "3:3:3" also implicitly does the mirr=
or=20
reflections "4:4:4".
Before I said: style=3D"BACKGROUND-COLOR: rgb(255,255,255); FONT-FAMILY: arial,sans-seri=
f; FONT-SIZE: 13px">"3:3:3"=20
actually represents 4 reflections, applied in each of the 7 directions,=20
encoding 7 copies.
style=3D"BACKGROUND-COLOR: rgb(255,255,255); FONT-FAMILY: arial,sans-seri=
f; FONT-SIZE: 13px">
But really: style=3D"BACKGROUND-COLOR: rgb(255,255,255); FONT-FAMILY: arial,sans-seri=
f; FONT-SIZE: 13px">"3:3:3"=20
actually represents 4 reflections, applied in each of the 7 directions an=
d=20
their mirrors, encoding 14 copies. So it is a very compact=20
representation of a lot of isometries!
style=3D"BACKGROUND-COLOR: rgb(255,255,255); FONT-FAMILY: arial,sans-seri=
f; FONT-SIZE: 13px">
face=3D"arial, sans-serif">Apologies for confusion from=20
me omitting this before. I had been trying to not throw t=
oo=20
much out at once.
>Are=20
the sets valable for all edges of all colors ?
I wasn't fully sure what you are asking, but I interpret it to mean =
"Do=20
these sets apply equally to every tile?" The answer to that is no.=
=20
The sets only apply to the white tile. They are used to calcu=
late=20
a set of isometries, which are then applied to all fundamental tiles.=20
But their effect on the other tiles may be different (on less=20
symmetrical puzzles anyway...on very symmetrical puzzles like KQ, all til=
es=20
end up behaving identically).
Since you are digging deep into this configuration, I will try to wr=
ite=20
up a page with fuller details, and a few more pictorial examples. I=
'll=20
try to work on this over the Thanksgiving holiday next week. Hopefu=
lly=20
it will help you to be able to explore and find some cool new colorings!<=
/DIV>
Cheers,
Roice
------=_NextPart_000_000B_01CDC321.EF5F9C10--
From: Melinda Green <melinda@superliminal.com>
Date: Sun, 16 Dec 2012 16:56:41 -0800
Subject: Re: [MC4D] Edge sets in MagicTile
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----_com.android.email_134610212402428--
From: Melinda Green <melinda@superliminal.com>
Date: Sun, 16 Dec 2012 17:26:26 -0800
Subject: Re: [MC4D] Edge sets in MagicTile
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From: Melinda Green <melinda@superliminal.com>
Date: Mon, 19 Nov 2012 15:48:37 -0800
Subject: Re: [MC4D] Edge sets in MagicTile
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From: Melinda Green <melinda@superliminal.com>
Date: Sat, 24 Nov 2012 16:19:29 -0000
Subject: Re: [MC4D] Edge sets in MagicTile
Solving of MT ell sph dodeka V 0:0:1 ----- || 11/23/2012 || 560
Easier than ' E 0 :1 :0 `=20
Solving of MT hyp {8,3} 6 F 0.67:0:1 ----- || 11/24/2012 || 328
Every color is equivalent. Easy 3-cycles. Andrey 119 twists.
From: "Eduard Baumann" <ed.baumann@bluewin.ch>
Date: Sun, 16 Dec 2012 23:56:10 +0100
Subject: Re: [MC4D] Edge sets in MagicTile
------=_NextPart_000_0008_01CDDBE8.EC50B420
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
Thanks.
I will carefully read it.
Ed
----- Original Message -----=20
From: Roice Nelson=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Sunday, December 16, 2012 9:30 PM
Subject: Re: [MC4D] Edge sets in MagicTile
=20=20=20=20
Hi Ed,
I finally finished writing up some info about configuring colorings in Ma=
gicTile, in case you'd like to experiment with making new ones. Sorry it t=
ook me longer than I said.
http://www.gravitation3d.com/magictile/info/identifications.html
Cheers,
Roice
On Thu, Nov 15, 2012 at 4:11 AM, Eduard Baumann wrote:
Thanks a lot.
Ed
Since you are digging deep into this configuration, I will try to wri=
te up a page with fuller details, and a few more pictorial examples. I'll =
try to work on this over the Thanksgiving holiday next week. Hopefully it =
will help you to be able to explore and find some cool new colorings!
=20=20
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charset="iso-8859-1"
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>
Thanks.
I will carefully read it.
Ed
style=3D"BORDER-LEFT: #000000 2px solid; PADDING-LEFT: 5px; PADDING-RIGHT: =
0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px">
----- Original Message -----
style=3D"FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: black">
Fro=
m:=20
Roice Nelson=
=20