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What about it is difficult? I would guess that more colors makes it more
tedious but not harder, similar to 3^4 versus 120-Cell.
-Melinda
On 11/15/2013 1:44 PM, andreyastrelin@yahoo.com wrote:
>
>
> I've solved {10,3}, 36C, F:0:0:1. It was difficult - it has too many
> colors. Total count is 2518 twists.
>
>
> Andrey
>
>
>
>
--------------050503010609040409010007
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I've solved {10,3}, 36C, F:0:0:1. It was difficult - it has too
many colors. Total count is 2518 twists.
Andrey
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--9nlWnTS9ocNmxdhsK3FKVLWiM6a5jwOaA8HvrLV--
May be, but in 120-Cell you have some search tools. In 36-color = Topology of {10,3}, 36C is not very easy (actually, I don't understand= Andrey I've solved {10,3}, 36C, F:0:0:1. It was difficult - it has too ma= Andrey 100 puzzles solved :)=C2=A0 Andrey
------=_NextPart_000_0006_01CEE2B0.CC34D8E0
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charset="UTF-8"
Content-Transfer-Encoding: quoted-printable
I'am playing with MT hyp {10,3],18C F0:0:1(not F1:0:0). 300 twists for 4 of=
the 18 colors so far. I don't care for the number of twists and use 3 cycl=
es all the way even early in order to not disturb anything. I also complete=
colors before starting a new one. So this puzzle is not so hard to solve b=
ut funny.
I will complete wiki for the 60 new puzzles and effectively aim for the new=
50%.
Ed
----- Original Message -----=20
From: andreyastrelin@yahoo.com=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Saturday, November 16, 2013 4:02 AM
Subject: RE: Re: [MC4D] New puzzles
=20=20=20=20
May be, but in 120-Cell you have some search tools. In 36-color tiles th=
ere is many similar colors that makes difficult searching of the correct ti=
le (even when you make one face white and all others dark). Pieces of F1:0:=
0 are very thin, most of them are close to boundary, so you don't even see =
them all.=20
Topology of {10,3}, 36C is not very easy (actually, I don't understand it=
at all). When I look for the tile, I'm not always sure that my search cove=
rs whole fundamental area, so I can go over the same part again and again. =
And there are problems with finding a way for tiles that doesn't disturb al=
ready solved parts.
Andrey
---In 4D_Cubing@yahoogroups.com,
What about it is difficult? I would guess that more colors makes it more =
tedious but not harder, similar to 3^4 versus 120-Cell.
-Melinda
On 11/15/2013 1:44 PM, andreyastrelin@... wrote:
I've solved {10,3}, 36C, F:0:0:1. It was difficult - it has too many =
colors. Total count is 2518 twists.
Andrey
=20=20
------=_NextPart_000_0006_01CEE2B0.CC34D8E0
Content-Type: text/html;
charset="UTF-8"
Content-Transfer-Encoding: quoted-printable
=EF=BB=BF
(not=20
F1:0:0). 300 twists for 4 of the 18 colors so far. I don't care for the num=
ber=20
of twists and use 3 cycles all the way even early in order to not disturb=20
anything. I also complete colors before starting a new one. So this puzzle =
is=20
not so hard to solve but funny.
s and=20
effectively aim for the new 50%.
0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px">
m:=20
href=3D"mailto:andreyastrelin@yahoo.com">andreyastrelin@yahoo.com IV>
href=3D"mailto:4D_Cubing@yahoogroups.com">4D_Cubing@yahoogroups.com <=
/DIV>
4:02=20
AM
s
tiles=20
there is many similar colors that makes difficult searching of the correc=
t=20
tile (even when you make one face white and all others dark). Pieces of F=
1:0:0=20
are very thin, most of them are close to boundary, so you don't=
even=20
see them all.
it=20
at all). When I look for the tile, I'm not always sure that my search cov=
ers=20
whole fundamental area, so I can go over the same part again and=20
again. And there are problems with finding a way=20
for tiles that doesn't disturb already solved parts.
---In 4D_Cubing@yahoogroups.com,=20
<melinda@...> wrote:
that=20
more colors makes it more tedious but not harder, similar to 3^4 versus=20
120-Cell.
-Melinda
A=20
class=3Dygrps-yiv-1325889706moz-txt-link-abbreviated=20
href=3D"mailto:andreyastrelin@..." rel=3Dnofollow=20
target=3D_blank>andreyastrelin@... wrote:
ny=20
colors. Total count is 2518 twists.
/DIV>
------=_NextPart_000_0006_01CEE2B0.CC34D8E0--
From: <andreyastrelin@yahoo.com>
Date: 16 Nov 2013 15:29:01 -0800
Subject: RE: Re: Re: [MC4D] New puzzles
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From: <andreyastrelin@yahoo.com>
Date: 16 Nov 2013 19:02:29 -0800
Subject: RE: New puzzles
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--9nlWnTS9ocNmxdhsK3FKVLWiM6a5jwOaA8HvrLV--
From: Melinda Green <melinda@superliminal.com>
Date: Sat, 16 Nov 2013 23:57:40 -0800
Subject: Re: [MC4D] RE: New puzzles
--------------000209020201090505050806
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: quoted-printable
Nice.
On 11/16/2013 7:02 PM, andreyastrelin@yahoo.com wrote:
>
>
> 100 puzzles solved :)
>
>
> Andrey
>
>
>
> ---In 4d_cubing@yahoogroups.com,
>
> {10,3} 18C F0.67:0:1 solved. 2680 twists.
>
> It was easy enough (if you know how to handle pieces with wrong=20
> orientation).
>
>
> Andrey
>
>
>
> ---In 4D_Cubing@yahoogroups.com,
>
> =EF=BB=BF
> I'am playing with MT hyp {10,3],18C F0:0:1(not F1:0:0). 300 twists
> for 4 of the 18 colors so far. I don't care for the number of
> twists and use 3 cycles all the way even early in order to not
> disturb anything. I also complete colors before starting a new
> one. So this puzzle is not so hard to solve but funny.
> I will complete wiki for the 60 new puzzles and effectively aim
> for the new 50%.
> Ed
>
> ----- Original Message -----
> *From:* andreyastrelin@...
> *To:* 4D_Cubing@yahoogroups.com
>
> *Sent:* Saturday, November 16, 2013 4:02 AM
> *Subject:* RE: Re: [MC4D] New puzzles
>
> May be, but in 120-Cell you have some search tools. In
> 36-color tiles there is many similar colors that makes
> difficult searching of the correct tile (even when you
> make one face white and all others dark). Pieces of F1:0:0
> are very thin, most of them are close to boundary, so you
> don't even see them all.
>
> Topology of {10,3}, 36C is not very easy (actually, I
> don't understand it at all). When I look for the tile, I'm
> not always sure that my search covers whole fundamental
> area, so I can go over the same part again and
> again. And there are problems with finding a way
> for tiles that doesn't disturb already solved parts.
>
>
> Andrey
>
>
>
> ---In 4D_Cubing@yahoogroups.com,
>
> What about it is difficult? I would guess that more colors
> makes it more tedious but not harder, similar to 3^4
> versus 120-Cell.
> -Melinda
>
> On 11/15/2013 1:44 PM, andreyastrelin@...
>
>
>> I've solved {10,3}, 36C, F:0:0:1. It was difficult -
>> it has too many colors. Total count is 2518 twists.
>>
>>
>> Andrey
>>
>
>
>
>=20
--------------000209020201090505050806
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">
Nice.
=20=20=20=20=20=20
--------------000209020201090505050806--
100 puzzles solved :) Andrey
--Apple-Mail-E8D4AE29-69F1-4F38-9BCF-8894CF39289B
Content-Type: text/plain;
charset=us-ascii
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Yeah, awesome!
Looks like another crystal cube order may be happening :D
(sent from my phone)
On Nov 17, 2013, at 1:57 AM, Melinda Green
:
>=20
>=20
> Nice.
>=20
> On 11/16/2013 7:02 PM, andreyastrelin@yahoo.com wrote:
>> 100 puzzles solved :)=20
>>=20
>>=20
>> Andrey
>>=20
>=20
>=20
>=20
>=20
--Apple-Mail-E8D4AE29-69F1-4F38-9BCF-8894CF39289B
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=3Dutf-8">
>
=20=20=20=20=20=20=20=20
=20=20
">
=20=20
=20=20
Nice.
=20=20=20=20=20=20
=20=20=20=20=20=20
=20=20
--Apple-Mail-E8D4AE29-69F1-4F38-9BCF-8894CF39289B--
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--9nlWnTS9ocNmxdhsK3FKVLWiM6a5jwOaA8HvrLV--
Roice, =A0 something is wrong with {10,3} 6C edge-rotated puzzles.= =A0 Is there=A0something missing=A0in puzzle description? =A0 I see the same in {8,3} 6C... and I don't like it because there = =A0 Andrey {7,3} F0.4:0:1 F0.8:0:= It is hyperbolic equivalent of "gigaminx" - there are two laye= =A0 Total twist count - 7558.=A0Maximal operation length - 24 (for rotat= Andrey=A0=A0 100 puzzles solved :)=A0 Andrey {10,3} 18C F0.67:0:1 solved.=A02680 twists. It was easy enough (if you know how to handle pieces with Andrey =A0May be, but in 120-Cell you have some Topology of {10,3}, 36C is not very easy Andrey I've solved {10,3}, 36C, F:0:0:1= Andrey Roice, =A0 I think, it's better to add new puzzles with=A0addi= =A0 I'm looking at {8,4} 9 colors, and can't understand it. In f= =A0 Is it possible to add identification with "in place reflection&= Andrey Roice, =A0 something is wrong with {10,3} 6C edge-rotated puzzles.= =A0 Is there=A0something missing=A0in puzzle description? =A0 I see the same in {8,3} 6C... and I don't like it because there = =A0 Andrey Roice, =A0 I think, it's better to add new puzzles with=A0addi= =A0 I'm looking at {8,4} 9 colors, and can't understand it. In f= =A0 Is it possible to add identification with "in place reflection&= Andrey Roice, =A0 something is wrong with {10,3} 6C edge-rotated puzzles.= =A0 Is there=A0something missing=A0in puzzle description? =A0 I see the same in {8,3} 6C... and I don't like it because there = =A0 Andrey
--089e01175e7de4593704eb767f8e
Content-Type: text/plain; charset=ISO-8859-1
Hi Andrey,
Thanks for your observation about this. To get the "mathematically pure"
behavior you are wanting, we can add an additional identification to each
of these puzzles, one that is a rotation only (no reflections). We can
effectively get that by marking EdgeSet 0, and using the appropriate
EndRotation... 4 for {8,3} and 5 for {10,3}.
Because of the solutions listed in the table, there is the question of
whether to edit the existing puzzles or add new ones. The existing
definitions are valid configurations too, just with a different topology.
But they are similar enough that I'm thinking we wouldn't want separate
definitions with only this difference.
If it is ok with you and others, I will just change the behavior of the
existing puzzles and not worry about the table, but if anyone disagrees
please let me know. I'll push the change out at the same time as the
addition of all the new colorings you've been making.
Thanks again,
Roice
On Sun, Nov 17, 2013 at 3:22 PM,
>
>
> Roice,
>
> something is wrong with {10,3} 6C edge-rotated puzzles. When I select
> some edge, I expect that edges on opposite sides of its decagons will be
> selected too (because mathematically they are the same). But that edges
> remain non-selected. Same is true for vertex-rotated 6C, and also for
> {10,3} 12color.
>
> Is there something missing in puzzle description?
>
>
> I see the same in {8,3} 6C... and I don't like it because there are
> solutions of these puzzles in the table (including some of my own ones)...
> Looks like we solved puzzles that are not as "mathematically pure" as they
> should be.
>
> Andrey
>
>
> ---In 4d_cubing@yahoogroups.com,
>
> {7,3} F0.4:0:1 F0.8:0:1 puzzle solved!
>
> It is hyperbolic equivalent of "gigaminx" - there are two layers of
> rotation at each face. Method of solving is almost the same: I start with
> "subedge" 1-color pieces, then combine pieces at each edge, solve puzzle
> like classic Klein Quadric and at last put "subcorners" to correct place.
> Most problems are with the second stage - there are 84 edges, and it's very
> difficult to find parts of the same edge. I did it by collecting all edge
> parts with some color around one center and working with them (nice feeling
> - when you can freely rotate almost all faces and know that you will not
> spoil anything by that).
>
> Total twist count - 7558. Maximal operation length - 24 (for rotating 3
> corners on the third stage), other operations are not longer than 8 twists.
>
>
> Andrey
>
>
> ---In 4d_cubing@yahoogroups.com,
>
> Yeah, awesome!
>
> Looks like another crystal cube order may be happening :D
>
> (sent from my phone)
>
> On Nov 17, 2013, at 1:57 AM, Melinda Green
>
> Nice.
>
> On 11/16/2013 7:02 PM, andreyastrelin@... wrote:
>
> 100 puzzles solved :)
>
>
> Andrey
>
>
> ---In 4d_cubing@yahoogroups.com,
>
> {10,3} 18C F0.67:0:1 solved. 2680 twists.
>
> It was easy enough (if you know how to handle pieces with wrong
> orientation).
>
>
> Andrey
>
>
> ---In 4D_Cubing@yahoogroups.com,
>
>
> I'am playing with MT hyp {10,3],18C F0:0:1(not F1:0:0). 300 twists for 4
> of the 18 colors so far. I don't care for the number of twists and use 3
> cycles all the way even early in order to not disturb anything. I also
> complete colors before starting a new one. So this puzzle is not so hard to
> solve but funny.
>
> I will complete wiki for the 60 new puzzles and effectively aim for the
> new 50%.
>
> Ed
>
>
> ----- Original Message -----
> *From:* andreyastrelin@...
> *To:* 4D_Cubing@yahoogroups.com
> *Sent:* Saturday, November 16, 2013 4:02 AM
> *Subject:* RE: Re: [MC4D] New puzzles
>
>
>
> May be, but in 120-Cell you have some search tools. In 36-color tiles
> there is many similar colors that makes difficult searching of the correct
> tile (even when you make one face white and all others dark). Pieces of
> F1:0:0 are very thin, most of them are close to boundary, so you don't even
> see them all.
>
> Topology of {10,3}, 36C is not very easy (actually, I don't understand it
> at all). When I look for the tile, I'm not always sure that my search
> covers whole fundamental area, so I can go over the same part again and
> again. And there are problems with finding a way for tiles that doesn't
> disturb already solved parts.
>
>
> Andrey
>
>
> ---In 4D_Cubing@yahoogroups.com,
>
> What about it is difficult? I would guess that more colors makes it more
> tedious but not harder, similar to 3^4 versus 120-Cell.
> -Melinda
>
> On 11/15/2013 1:44 PM, andreyastrelin@... wrote:
>
> I've solved {10,3}, 36C, F:0:0:1. It was difficult - it has too many
> colors. Total count is 2518 twists.
>
>
> Andrey
>
>
>
>
>
>
>
--089e01175e7de4593704eb767f8e
Content-Type: text/html; charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable
about this. =A0To get the "mathematically pure" behavior you are =
wanting, we can add an additional identification to each of these puzzles, =
one that is a rotation only (no reflections). =A0We can effectively get tha=
t by marking EdgeSet 0, and using the appropriate EndRotation... 4 for {8,3=
} and 5 for {10,3}.
uestion of whether to edit the existing puzzles or add new ones. =A0The exi=
sting definitions are valid configurations too, just with a different topol=
ogy. =A0But they are similar enough that I'm thinking we wouldn't w=
ant separate definitions with only this difference.
behavior of the existing puzzles and not worry about the table, but if any=
one disagrees please let me know. =A0I'll push the change out at the sa=
me time as the addition of all the new colorings you've been making.iv>
, Nov 17, 2013 at 3:22 PM, <strelin@yahoo.com" target=3D"_blank">andreyastrelin@yahoo.com>> wrote:x #ccc solid;padding-left:1ex">
=20=20=20=20=20=20=20=20
When I select some edge, I expect that edges on opposite sides=A0of its de=
cagons=A0will be selected too (because mathematically they are the same). B=
ut that edges remain non-selected. Same is true for vertex-rotated 6C, and =
also for {10,3} 12color.
are solutions of these puzzles in the table (including some of my own=A0one=
s)... Looks like we solved puzzles that are not as "mathematically pur=
e" as they should be.
---In to:4d_cubing@yahoogroups.com" target=3D"_blank">4d_cubing@yahoogroups.coma>, <andreyastrelin@...> wrote:
1=A0puzzle solved!
rs of rotation at each face. Method of solving is almost the same: I start =
with "subedge" 1-color pieces, then combine pieces at each edge, =
solve puzzle like classic Klein Quadric and=A0at last=A0put "subcorner=
s" to=A0correct place. Most problems are with the second stage - there=
are 84 edges, and it's very difficult to find parts of the same edge. =
I did it by collecting all edge parts with some color around one center and=
working with them (nice feeling - when you can freely rotate almost all fa=
ces=A0and know that you will not spoil anything by that).
ing 3 corners on the third stage), other operations are not longer than 8 t=
wists. --=
-In 4d_cubin=
g@yahoogroups.com, <roice3@...> wrote:
ystal cube order may be happening :D
div> On Nov 17, 2013, at 1:57 AM, Melinda =
Green <>melinda@...> wrote:
=20=20=20=20=20=20=20=20
=20=20
=20=20=20=20
=20=20
=20=20
Nice.
=20=20=20=20=20=20
=20=20=20=20=20=20
---In target=3D"_blank">4d_cubing@yahoogroups.com, =3D"mailto:andreyastrelin@..." target=3D"_blank"><andreyastrelin@...>=
wrote:
wrong orientation).
---In Cubing@yahoogroups.com" target=3D"_blank">4D_Cubing@yahoogroups.com,
=3D"_blank"><ed.baumann@...> wrote:
hyp {10,3],18C F0:0:1(not F1:0:0). 300 twists for
4 of the 18 colors so far. I don't care for the
number of twists and use 3 cycles all the way even
early in order to not disturb anything. I also
complete colors before starting a new one. So this
puzzle is not so hard to solve but funny.>
for the 60 new puzzles and effectively aim for the
new 50%.
px;margin-right:0px;margin-left:5px;border-left-color:rgb(0,0,0);border-lef=
t-width:2px;border-left-style:solid">
Original Message -----
href=3D"mailto:andreyastrelin@..." target=3D"_blank">andreyastrelin@...
s.com" href=3D"mailto:4D_Cubing@yahoogroups.com" target=3D"_blank">4D_Cubin=
g@yahoogroups.com
Saturday, November 16, 2013 4:02 AM
RE: Re: [MC4D] New puzzles
=A0
search tools. In 36-color tiles there is
many similar colors that makes difficult
searching of the correct tile (even when you
make one face white and all others dark).
Pieces of F1:0:0 are very thin,=A0most of them
are close to boundary,=A0so you don't even =
see
them all.=A0
(actually, I don't understand it at all).
When I look for the tile, I'm not always
sure that my search covers whole fundamental
area, so I can go over the same part again
and again.=A0And=A0there=A0are=A0problems with
finding a way for=A0tiles=A0that doesn't di=
sturb
already solved parts.
---In ing@yahoogroups.com" target=3D"_blank">4D_Cubing@yahoogroups.com,
target=3D"_blank"><melinda@...> wrote:
about it is difficult? I would guess that
more colors makes it more tedious but not
harder, similar to 3^4 versus 120-Cell.
-Melinda
.
It was difficult - it has too many
colors. Total count is 2518
twists.
=20=20=20=20=20=20
=20=20
=20
=20=20=20=20=20=20
--089e01175e7de4593704eb767f8e--
From: <andreyastrelin@yahoo.com>
Date: 18 Nov 2013 11:48:06 -0800
Subject: RE: Re: [MC4D] RE: New puzzles
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--9nlWnTS9ocNmxdhsK3FKVLWiM6a5jwOaA8HvrLV--
From: Roice Nelson <roice3@gmail.com>
Date: Tue, 19 Nov 2013 01:12:18 -0600
Subject: Re: Re: [MC4D] RE: New puzzles
--089e0122aefe8eb9ce04eb8262da
Content-Type: text/plain; charset=ISO-8859-1
ok, we'll do them as separate puzzles then. I won't repeat the
face-turning slicing in both places though, since the face-turning versions
will behave identically. Would be nice if we can come up with some
distinguishing naming too.
I'm not sure I followed your last question. Did you mean to ask if you can
do an identification with an "in place reflection" and "end rotation", but
without extra *reflections*? If that is what you meant, this is possible
to configure, though I'm not sure it can lead to sensical topologies. I
just tried it on a couple puzzles including the {8,4} 9C and only achieved
strange results, but maybe there is some case where it would work. To have
no reflections, use the same trick I suggested above and make the EdgeSet
0. Internally, this reflects the tile twice, but the second reflection
just undoes the first one. You can do this and set the other properties
however you want.
{8,4} 9C has 9 faces, 16 edges, and 8 vertices, so the Euler Characteristic
is 1 and the topology is the projective plane. As configured, there are
some vertices and edges that look identical (same colors) but are
physically different. Not all the faces are octagons. Looks like 4 are
squares and 4 are digons. It is a strange puzzle for sure.
Roice
On Mon, Nov 18, 2013 at 1:48 PM,
>
>
> Roice,
>
> I think, it's better to add new puzzles with additional identifications
> on vertex- and edge-centered twists. Because they are really different
> puzzles, and some of them may be much more difficult than old ones.
>
> I'm looking at {8,4} 9 colors, and can't understand it. In
> face-centered puzzle it works like non-oriented non-uniform puzzle with
> some two-side edges. In vertex-centered variant some vertices of the same
> structure are identified, but sometimes there is only half of them... and
> the identified ones don't all have the same orientation.
>
> Is it possible to add identification with "in place reflection" and "end
> rotation", but without extra rotations?
>
>
> Andrey
>
>
> ---In 4D_Cubing@yahoogroups.com,
>
> Hi Andrey,
>
> Thanks for your observation about this. To get the "mathematically pure"
> behavior you are wanting, we can add an additional identification to each
> of these puzzles, one that is a rotation only (no reflections). We can
> effectively get that by marking EdgeSet 0, and using the appropriate
> EndRotation... 4 for {8,3} and 5 for {10,3}.
>
> Because of the solutions listed in the table, there is the question of
> whether to edit the existing puzzles or add new ones. The existing
> definitions are valid configurations too, just with a different topology.
> But they are similar enough that I'm thinking we wouldn't want separate
> definitions with only this difference.
>
> If it is ok with you and others, I will just change the behavior of the
> existing puzzles and not worry about the table, but if anyone disagrees
> please let me know. I'll push the change out at the same time as the
> addition of all the new colorings you've been making.
>
> Thanks again,
> Roice
>
>
>
> On Sun, Nov 17, 2013 at 3:22 PM,
>
>
>
> Roice,
>
> something is wrong with {10,3} 6C edge-rotated puzzles. When I select
> some edge, I expect that edges on opposite sides of its decagons will be
> selected too (because mathematically they are the same). But that edges
> remain non-selected. Same is true for vertex-rotated 6C, and also for
> {10,3} 12color.
>
> Is there something missing in puzzle description?
>
>
> I see the same in {8,3} 6C... and I don't like it because there are
> solutions of these puzzles in the table (including some of my own ones)...
> Looks like we solved puzzles that are not as "mathematically pure" as they
> should be.
>
> Andrey
>
>
--089e0122aefe8eb9ce04eb8262da
Content-Type: text/html; charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable
39;t repeat the face-turning slicing in both places though, since the face-=
turning versions will behave identically. =A0Would be nice if we can come u=
p with some distinguishing naming too.
question. =A0Did you mean to ask if you can do an identification with an &q=
uot;in place reflection"=A0and "end rotation", but without e=
xtra reflections?=A0=A0 If that is what you meant, this is possible =
to configure, though I'm not sure it can lead to sensical topologies. =
=A0I just tried it on a couple puzzles including the {8,4} 9C and only achi=
eved strange results, but maybe there is some case where it would work. =A0=
To have no reflections, use the same trick I suggested above and make the E=
dgeSet 0. =A0Internally, this reflects the tile twice, but the second refle=
ction just undoes the first one. =A0You can do this and set the other prope=
rties however you want.
s 9 faces, 16 edges, and 8 vertices, so the Euler Characteristic is 1 and t=
he topology is the projective plane. =A0As configured, there are some verti=
ces and edges that look identical (same colors) but are physically differen=
t. =A0Not all the faces are octagons. =A0Looks like 4 are squares and 4 are=
digons. =A0It is a strange puzzle for sure.
;andreyastrel=
in@yahoo.com> wrote:left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;p=
adding-left:1ex">
=20=20=20=20=20=20=20=20
tional=A0identifications on vertex- and edge-centered twists. Because they =
are really different puzzles, and some of them may be much more difficult t=
han old ones.
ace-centered=A0puzzle it works like non-oriented non-uniform=A0puzzle=A0wit=
h some two-side edges. In vertex-centered variant some vertices of the same=
structure are identified, but sometimes there is only half of them... and =
the identified ones don't all have the same orientation.
quot;=A0and "end rotation", but without extra rotations?=A0
---In groups.com" target=3D"_blank">4D_Cubing@yahoogroups.com, <roice3@...=
> wrote:
r observation about this. =A0To get the "mathematically pure" beh=
avior you are wanting, we can add an additional identification to each of t=
hese puzzles, one that is a rotation only (no reflections). =A0We can effec=
tively get that by marking EdgeSet 0, and using the appropriate EndRotation=
... 4 for {8,3} and 5 for {10,3}.
uestion of whether to edit the existing puzzles or add new ones. =A0The exi=
sting definitions are valid configurations too, just with a different topol=
ogy. =A0But they are similar enough that I'm thinking we wouldn't w=
ant separate definitions with only this difference.
behavior of the existing puzzles and not worry about the table, but if any=
one disagrees please let me know. =A0I'll push the change out at the sa=
me time as the addition of all the new colorings you've been making.iv>
2013 at 3:22 PM, <:andreyastrelin@..." target=3D"_blank">andreyastrelin@...> wr=
ote:color:rgb(204,204,204);border-left-width:1px;border-left-style:solid">
<=
=20=20=20=20=20=20=20=20
When I select some edge, I expect that edges on opposite sides=A0of its de=
cagons=A0will be selected too (because mathematically they are the same). B=
ut that edges remain non-selected. Same is true for vertex-rotated 6C, and =
also for {10,3} 12color.
are solutions of these puzzles in the table (including some of my own=A0one=
s)... Looks like we solved puzzles that are not as "mathematically pur=
e" as they should be.
/div>
/div>
--089e0122aefe8eb9ce04eb8262da--
From: Roice Nelson <roice3@gmail.com>
Date: Tue, 26 Nov 2013 19:02:19 -0600
Subject: Re: Re: [MC4D] RE: New puzzles
--001a11c3c87e223d3504ec1e26d5
Content-Type: text/plain; charset=ISO-8859-1
Hi Andrey,
Sorry I haven't finished merging the puzzles into the distribution yet (I
have started at least). I'm writing now because I did notice a few of the
puzzles could use a bit more fill-in by adding more identifications.
Upping the tile count also helps, but that has the disadvantage that build
times scale with the tile count (would be so nice to have build caching, as
suggested by Melinda). Probably doing a little of both can give the best
results.
In the worst case for puzzles with poor fill-in, you can pan them off to
the boundary (MT will fail to keep the puzzle centered). Good coverage is
visually better anyway, and for these reasons, I'd like to get the puzzles
included with main program setup as well possible.
I noticed the following could use some improvement:
{12,3} 24C, 6C
{12,4} 8C
For example, here's a screenshot of what the 6C can look like when you pan
near the orange tile right now:
http://groups.yahoo.com/neo/groups/4D_Cubing/photos/albums/622194858/lightbox/973196532
The {5,5} 12C is pretty good, but could maybe use just a tad extra love
too. I'll work on these, but I thought I'd mention in case you wanted to
as well. Good to keep in mind for future puzzles in any case.
Best,
Roice
P.S. Had a long plane ride today and made a change to display the topology
information, which I'll push out with your new puzzles :)
On Tue, Nov 19, 2013 at 1:12 AM, Roice Nelson
> ok, we'll do them as separate puzzles then. I won't repeat the
> face-turning slicing in both places though, since the face-turning versions
> will behave identically. Would be nice if we can come up with some
> distinguishing naming too.
>
> I'm not sure I followed your last question. Did you mean to ask if you
> can do an identification with an "in place reflection" and "end rotation",
> but without extra *reflections*? If that is what you meant, this is
> possible to configure, though I'm not sure it can lead to sensical
> topologies. I just tried it on a couple puzzles including the {8,4} 9C and
> only achieved strange results, but maybe there is some case where it would
> work. To have no reflections, use the same trick I suggested above and
> make the EdgeSet 0. Internally, this reflects the tile twice, but the
> second reflection just undoes the first one. You can do this and set the
> other properties however you want.
>
> {8,4} 9C has 9 faces, 16 edges, and 8 vertices, so the Euler
> Characteristic is 1 and the topology is the projective plane. As
> configured, there are some vertices and edges that look identical (same
> colors) but are physically different. Not all the faces are octagons.
> Looks like 4 are squares and 4 are digons. It is a strange puzzle for
> sure.
>
> Roice
>
>
> On Mon, Nov 18, 2013 at 1:48 PM,
>
>>
>>
>> Roice,
>>
>> I think, it's better to add new puzzles with additional identifications
>> on vertex- and edge-centered twists. Because they are really different
>> puzzles, and some of them may be much more difficult than old ones.
>>
>> I'm looking at {8,4} 9 colors, and can't understand it. In
>> face-centered puzzle it works like non-oriented non-uniform puzzle with
>> some two-side edges. In vertex-centered variant some vertices of the same
>> structure are identified, but sometimes there is only half of them... and
>> the identified ones don't all have the same orientation.
>>
>> Is it possible to add identification with "in place reflection" and
>> "end rotation", but without extra rotations?
>>
>>
>> Andrey
>>
>>
>> ---In 4D_Cubing@yahoogroups.com,
>>
>> Hi Andrey,
>>
>> Thanks for your observation about this. To get the "mathematically pure"
>> behavior you are wanting, we can add an additional identification to each
>> of these puzzles, one that is a rotation only (no reflections). We can
>> effectively get that by marking EdgeSet 0, and using the appropriate
>> EndRotation... 4 for {8,3} and 5 for {10,3}.
>>
>> Because of the solutions listed in the table, there is the question of
>> whether to edit the existing puzzles or add new ones. The existing
>> definitions are valid configurations too, just with a different topology.
>> But they are similar enough that I'm thinking we wouldn't want separate
>> definitions with only this difference.
>>
>> If it is ok with you and others, I will just change the behavior of the
>> existing puzzles and not worry about the table, but if anyone disagrees
>> please let me know. I'll push the change out at the same time as the
>> addition of all the new colorings you've been making.
>>
>> Thanks again,
>> Roice
>>
>>
>>
>> On Sun, Nov 17, 2013 at 3:22 PM,
>>
>>
>>
>> Roice,
>>
>> something is wrong with {10,3} 6C edge-rotated puzzles. When I select
>> some edge, I expect that edges on opposite sides of its decagons will be
>> selected too (because mathematically they are the same). But that edges
>> remain non-selected. Same is true for vertex-rotated 6C, and also for
>> {10,3} 12color.
>>
>> Is there something missing in puzzle description?
>>
>>
>> I see the same in {8,3} 6C... and I don't like it because there are
>> solutions of these puzzles in the table (including some of my own ones)...
>> Looks like we solved puzzles that are not as "mathematically pure" as they
>> should be.
>>
>> Andrey
>>
>>
--001a11c3c87e223d3504ec1e26d5
Content-Type: text/html; charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable
;t finished merging the puzzles into the distribution yet (I have started a=
t least). =A0I'm writing now because I did notice a few of the puzzles =
could use a bit more fill-in by adding more identifications. =A0Upping the =
tile count also helps, but that has the disadvantage that build times scale=
with the tile count (would be so nice to have build caching, as suggested =
by Melinda). =A0Probably doing a little of both can give the best results.<=
/div>
n pan them off to the boundary (MT will fail to keep the puzzle centered). =
=A0Good coverage is visually better anyway, and for these reasons, I'd =
like to get the puzzles included with main program setup as well possible.<=
/div>
=
example, here's a screenshot of what the 6C can look like when you pan =
near the orange tile right now:
The {5,5} 12C is pretty good, but could maybe use just a tad extra love too=
. =A0I'll work on these, but I thought I'd mention in case you want=
ed to as well. =A0Good to keep in mind for future puzzles in any case.>
a long plane ride today and made a change to display the topology informat=
ion, which I'll push out with your new puzzles :)
Nov 19, 2013 at 1:12 AM, Roice Nelson <lto:roice3@gmail.com" target=3D"_blank">roice3@gmail.com> wro=
te:x #ccc solid;padding-left:1ex">
parate puzzles then. =A0I won't repeat the face-turning slicing in both=
places though, since the face-turning versions will behave identically. =
=A0Would be nice if we can come up with some distinguishing naming too.
question. =A0Did you mean to ask if you can do an identification with an &q=
uot;in place reflection"=A0and "end rotation", but without e=
xtra reflections?=A0=A0 If that is what you meant, this is possible =
to configure, though I'm not sure it can lead to sensical topologies. =
=A0I just tried it on a couple puzzles including the {8,4} 9C and only achi=
eved strange results, but maybe there is some case where it would work. =A0=
To have no reflections, use the same trick I suggested above and make the E=
dgeSet 0. =A0Internally, this reflects the tile twice, but the second refle=
ction just undoes the first one. =A0You can do this and set the other prope=
rties however you want.
s 9 faces, 16 edges, and 8 vertices, so the Euler Characteristic is 1 and t=
he topology is the projective plane. =A0As configured, there are some verti=
ces and edges that look identical (same colors) but are physically differen=
t. =A0Not all the faces are octagons. =A0Looks like 4 are squares and 4 are=
digons. =A0It is a strange puzzle for sure.
1:48 PM, <" target=3D"_blank">andreyastrelin@yahoo.com> wrote:left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;p=
adding-left:1ex">
=20=20=20=20=20=20=20=20
tional=A0identifications on vertex- and edge-centered twists. Because they =
are really different puzzles, and some of them may be much more difficult t=
han old ones.
ace-centered=A0puzzle it works like non-oriented non-uniform=A0puzzle=A0wit=
h some two-side edges. In vertex-centered variant some vertices of the same=
structure are identified, but sometimes there is only half of them... and =
the identified ones don't all have the same orientation.
quot;=A0and "end rotation", but without extra rotations?=A0
---In groups.com" target=3D"_blank">4D_Cubing@yahoogroups.com, <roice3@...=
> wrote:
r observation about this. =A0To get the "mathematically pure" beh=
avior you are wanting, we can add an additional identification to each of t=
hese puzzles, one that is a rotation only (no reflections). =A0We can effec=
tively get that by marking EdgeSet 0, and using the appropriate EndRotation=
... 4 for {8,3} and 5 for {10,3}.
uestion of whether to edit the existing puzzles or add new ones. =A0The exi=
sting definitions are valid configurations too, just with a different topol=
ogy. =A0But they are similar enough that I'm thinking we wouldn't w=
ant separate definitions with only this difference.
behavior of the existing puzzles and not worry about the table, but if any=
one disagrees please let me know. =A0I'll push the change out at the sa=
me time as the addition of all the new colorings you've been making.iv>
2013 at 3:22 PM, <:andreyastrelin@..." target=3D"_blank">andreyastrelin@...> wr=
ote:color:rgb(204,204,204);border-left-width:1px;border-left-style:solid">
<=
=20=20=20=20=20=20=20=20
When I select some edge, I expect that edges on opposite sides=A0of its de=
cagons=A0will be selected too (because mathematically they are the same). B=
ut that edges remain non-selected. Same is true for vertex-rotated 6C, and =
also for {10,3} 12color.
are solutions of these puzzles in the table (including some of my own=A0one=
s)... Looks like we solved puzzles that are not as "mathematically pur=
e" as they should be.
/div>
/div>
--001a11c3c87e223d3504ec1e26d5--