macky
Premium Member
Let
P = RU'R'DRUR'D'
Q = DRUR'D'RU'R'
P' = DRU'R'D'RUR'
Q' = RUR'DRU'R'D'
Note that the effects of P and Q are mirrors, as are those of P' and Q'.
The E-perm popularized by Rowe can then be written x'PQ'x. I wrote a bit of php to generate VisualCube images for all cases of the form
x'[P/Q/P'/Q'][/F/F'/F2][P/Q/P'/Q']x here. The color scheme can be set here.
Here are some non-Sune COLL algorithms from this list:
There may be others that are interesting as ZBLL algorithms.
The first and the third (inverse) can be conjugated to give these A-perms:
x'RPQR'x cancelled = x'R2U'R'DRU2R'D'RU'R2x
x'RQ'P'R'x cancelled = x'R2UR'DRU2R'D'RUR2'x
These can be used as additional main A-perms to avoid y2.
If you're interested, here's the php code:
It wouldn't be hard to add some formatting or to have the algorithms/shorthands written out.
P = RU'R'DRUR'D'
Q = DRUR'D'RU'R'
P' = DRU'R'D'RUR'
Q' = RUR'DRU'R'D'
Note that the effects of P and Q are mirrors, as are those of P' and Q'.
The E-perm popularized by Rowe can then be written x'PQ'x. I wrote a bit of php to generate VisualCube images for all cases of the form
x'[P/Q/P'/Q'][/F/F'/F2][P/Q/P'/Q']x here. The color scheme can be set here.
Here are some non-Sune COLL algorithms from this list:
x'PQx cancelled = x'RU'R'DRU2R'D'RU'R'x
mirror: x'QPx cancelled = x'DRUR'D'RU2R'DRUR'D'x
x'P'Q'x cancelled = x'DRU'R'D'RU2R'DRU'R'D'x
mirror: x'Q'P'x cancelled = x'RUR'DRU2R'D'RUR'x
x'PFPx = x'RU'R'DRUR'D'FRU'R'DRUR'D'x
(x'QF'Qx, x'P'F'P'x, x'Q'FQ'x, x'P'F2Px, x'Q'F2Qx all solve the same case.)
x'P'FQx = x'DRU'R'D'RUR'FDRUR'D'RU'R'x
mirror: x'Q'F'Px
x'PF2P'x = x'RU'R'DRUR'D'F2DRU'R'D'RUR'x
mirror: x'QF2xQ'
x'P'FPx = x'DRU'R'D'RUR'FRU'R'DRUR'D'x
mirror: x'Q'F'Qx
x'PF2Px = x'RUR'DRU'R'D'F2RU'R'DRUR'D'x
mirror: x'QF2Qx
x'Q'FQx = x'RUR'DRU'R'D'FDRUR'D'RU'R'x
mirror: x'P'F'Px
mirror: x'QPx cancelled = x'DRUR'D'RU2R'DRUR'D'x
x'P'Q'x cancelled = x'DRU'R'D'RU2R'DRU'R'D'x
mirror: x'Q'P'x cancelled = x'RUR'DRU2R'D'RUR'x
x'PFPx = x'RU'R'DRUR'D'FRU'R'DRUR'D'x
(x'QF'Qx, x'P'F'P'x, x'Q'FQ'x, x'P'F2Px, x'Q'F2Qx all solve the same case.)
x'P'FQx = x'DRU'R'D'RUR'FDRUR'D'RU'R'x
mirror: x'Q'F'Px
x'PF2P'x = x'RU'R'DRUR'D'F2DRU'R'D'RUR'x
mirror: x'QF2xQ'
x'P'FPx = x'DRU'R'D'RUR'FRU'R'DRUR'D'x
mirror: x'Q'F'Qx
x'PF2Px = x'RUR'DRU'R'D'F2RU'R'DRUR'D'x
mirror: x'QF2Qx
x'Q'FQx = x'RUR'DRU'R'D'FDRUR'D'RU'R'x
mirror: x'P'F'Px
The first and the third (inverse) can be conjugated to give these A-perms:
x'RPQR'x cancelled = x'R2U'R'DRU2R'D'RU'R2x
x'RQ'P'R'x cancelled = x'R2UR'DRU2R'D'RUR2'x
These can be used as additional main A-perms to avoid y2.
If you're interested, here's the php code:
<?php
// base algorithms
$P = "RU'R'DRUR'D'";
$Pi = "DRU'R'D'RUR'";
$Q = "DRUR'D'RU'R'";
$Qi = "RUR'DRU'R'D'";
// arrays
$basearray = array($P, $Pi, $Q, $Qi);
$insertarray = array("", "F", "F'", "F2");
?>
<html>
<head>
<title>Algorithms similar to the <R, U, D> E-perm</title>
</head>
<body>
<?php
foreach($basearray as $base)
foreach($insertarray as $insert)
foreach($basearray as $base2) {
$case = "x'" . $base . $insert . $base2 . "x";
echo "<img src=\"/scripts/vcube/visualcube.php?fmt=png&view=plan&case=$case\">";
}
?>
</body>
</html>
// base algorithms
$P = "RU'R'DRUR'D'";
$Pi = "DRU'R'D'RUR'";
$Q = "DRUR'D'RU'R'";
$Qi = "RUR'DRU'R'D'";
// arrays
$basearray = array($P, $Pi, $Q, $Qi);
$insertarray = array("", "F", "F'", "F2");
?>
<html>
<head>
<title>Algorithms similar to the <R, U, D> E-perm</title>
</head>
<body>
<?php
foreach($basearray as $base)
foreach($insertarray as $insert)
foreach($basearray as $base2) {
$case = "x'" . $base . $insert . $base2 . "x";
echo "<img src=\"/scripts/vcube/visualcube.php?fmt=png&view=plan&case=$case\">";
}
?>
</body>
</html>
Last edited:
