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I try to remember that ;-)
Merry Christmas!
----- Original Message -----=20
From: andreyastrelin@yahoo.com [4D_Cubing]=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Thursday, December 25, 2014 2:17 PM
Subject: [MC4D] 4.26273802 * 10^226929
=20=20=20=20
... is the number of different positions of 5^7 cube. This cube has 28 di=
fferent kinds of pieces. Pieces of 8 kinds have unique positions in the sol=
ved cube, and pieces from other 20 kinds can be swapped when they belong to=
the same face (that may have from 2 to 6 dimensions). 6 groups (1C pieces)=
have no additional constraints, and other 14 have one constraint (parity o=
f total orientation of pieces). Only constraint for side 6C pieces and for =
7C is the parity of permutations, central 2C have constraint for orientatio=
ns, and 4 other groups (central 3C,4C,5C and 6C) have both constraints.
Merry Christmas!
=20=20
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... is the number of different positions of 5^7 cube. This cube =
has=20
28 different kinds of pieces. Pieces of 8 kinds have unique positions in =
the=20
solved cube, and pieces from other 20 kinds can be swapped when they belo=
ng to=20
the same face (that may have from 2 to 6 dimensions). 6 groups (1C pieces=
)=20
have no additional constraints, and other 14 have one constraint (parity =
of=20
total orientation of pieces). Only constraint for side 6C pieces and for=
=20
7C is the parity of permutations, central 2C have constraint for=20
orientations, and 4 other groups (central 3C,4C,5C and 6C) have both=20
constraints.
Merry Christmas!
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Thanks, Andrey! It's nice to be able to look back at all these slain=20
monsters in a way that lets us compare their overall sizes. Seems like=20
we could use a spreadsheet or something, but I like how you've put them=20
into huge, huger, and hugest bins.
On 12/26/2014 2:11 AM, andreyastrelin@yahoo.com [4D_Cubing] wrote:
>
>
> Melinda,
>
> I think that the largest solved puzzle is 7^5: 24010 stickers and=20
> 13682 cubies. Next are 6^5 (12960 stickers, 6752 cubies) and 4^6=20
> (12288 stickers, 4032 cubies).
>
> 3^7, 120-cell and 600-cell are on the next level: 2000-3000 cubies=20
> and 7000-10000 stickers)
>
>
> Andrey
>
>
>
>=20
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Melinda,
=C2=A0 I think that the largest solved puzzle is 7^5: 24010 sticke=
rs
and 13682 cubies. Next are 6^5 (12960 stickers, 6752 cubies) and
4^6 (12288 stickers, 4032 cubies).
=C2=A0 3^7, 120-cell and 600-cell are on the next level: 2000-3000
cubies and 7000-10000 stickers)
=C2=A0 Andrey
=20=20=20=20=20=20