Note: Each piece is denoted with its face/plane (up, down, left, right), relative position (left, right, top, bottom) and kind (center edge, tip/point, collar, diamond, etc...).
Tip: play the algorithms in the solved state to see exchanges, but some (same color) are not apparent. repeat to reveal them.
Don't let other exchanges (side effects) distract you. They will be fixed by coming steps.
Solve 6x6 by BARAIYA mahendra:
Edges: (un)twist up face's left and right middle inner edges (with sune like outer edge restore). show
Below are exchanges between front/up and bottom/down planes' big centers:
up right center edge to down right center edge to down left center edge back to up right center edge. show
up left center edge to down left center edge to down right center edge back to up left center edge. show -- mirrored
up left diamond to up right diamond to down bottom diamond to up left diamond, up top diamond to right bottom diamond to left bottom diamond back to up top diamond. show -- use clever 2B moves to set up a more controlled exchange.
up left diamond to down bottom diamond to down left diamond back to up left diamond. show -- note: no effect in left and right planes.
up right diamond to down bottom diamond to down right diamond back to up right diamond. show -- mirrored
Solve 7x7 by BARAIYA mahendra:
First do diamonds and edges, at their target, layer by layer. Actual centers, and rest of centers last.
Actual centers:front/down right/left exchange -- down down up up, once**.
Center inner edges:
up right to down right to down left back to up right -- 4 repeats D-move 1 repeat.
up left to down left to down right back to up left -- mirrored. U direction not critical, just back and forth
up right to down right to down top back to up right -- note: top instead of left.
up left to down left to down top back to up left -- mirrored.
Center outer edges:
up top-left to down mid-left to down bottom-right back to up top-left -- 2 repeats D-move 1 repeat.
up top-right to down mid-right to down bottom-left back to up top-right -- mirrored.
up top-left to down mid-left to down top-right back to up top-left -- note: top-~ not bottom-~.
up top-right to down mid-right to down top-left back to up top-right -- mirrored.
Center diamonds:
up right diamond to up left to down bottom -- down down up up, 1 repeat. Also exchanges up top diamond with left/right planes, cleaner moves below.
With clever B-slice set up moves, eg 2B or 3B, affecting the down bottom diamond, the diamond pair pieces can be exchanged/matched. See video.
up left diamond to down bottom to down right back to up left -- 2 repeats D-move 1 repeat.
up right diamond to down bottom to down left back to up right -- mirrored.
up left diamond to down bottom to down left back to up left -- note: down left not right.
up right diamond to down bottom to down right back to up right -- mirrored.
Edges: (un)twist up face's left and right middle inner edges (with sune like outer edge restore). show
Solve 8x8 by BARAIYA mahendra:
Actual centers show: front/down right/left exchange -- down down up up, 3 times, or once** at this stage. Note: parity.
Inner center point pieces show:
up right to down bottom to down left back to up right -- 2 repeats D-move 1 repeat.
up left to down bottom to down right back to up left -- mirrored.
up right to down bottom to down right back to up right -- note: right instead of left.
up left to down bottom to down left back to up left -- mirrored.
Trident: middle Center outer edge pieces show:
up right to down right to down left back to up right -- 4 repeats D-move 1 repeat.
up left to down left to down right back to up left -- mirrored. U direction not critical, just back and forth
up right to down right to down top back to up right -- note: top instead of left.
up left to down left to down top back to up left -- mirrored.
Center inner edge pieces show:
up mid-left to down bottom-left to down mid-right back to up mid-left -- 2 repeats D-move 1 repeat.
up mid-right to down bottom-right to down mid-left back to up mid-right -- mirrored.
up mid-left to down bottom-left to down top-left back to up mid-left -- note: top-~ not mid-~.
up mid-right to down bottom-right to down top-right back to up mid-right -- mirrored.
other Center outer edge pieces show:
up top-left to down mid-left to down bottom-right back to up top-left -- 2 repeats D-move 1 repeat.
up top-right to down mid-right to down bottom-left back to up top-right -- mirrored.
up top-left to down mid-left to down top-right back to up top-left -- note: top-~ not bottom-~.
up top-right to down mid-right to down top-left back to up top-right -- mirrored.
Center diamonds show:
up right diamond to up left to down bottom -- down down up up, 1 repeat. Also exchanges up top diamond with left/right planes, cleaner moves below.
With clever B-slice set up moves, eg 2B or 3B, affecting the down bottom diamond, the diamond pair pieces can be exchanged/matched. See video.
up left diamond to down bottom to down right back to up left -- 2 repeats D-move 1 repeat.
up right diamond to down bottom to down left back to up right -- mirrored.
up left diamond to down bottom to down left back to up left -- note: down left not right.
up right diamond to down bottom to down right back to up right -- mirrored.
Tips/diamonds are leading. Diamonds are the tips and their neighboring "collar" piece.
To exchange (or flip) inner edges, down/down/up/up starting with the target (site) side, or in case that that is the bottom, the fit(ting piece). Eventual restore of the bottom section (move it away, bring bottom up (same direction), rejoin, restore, can be done slice wise).
Center and (top) outer edge layer parity: Sune like move with top carrousel (either clockwise or anti clockwise) encompassing the region it concerns. May have to be repeated.
Center exchange: down/down/up/up 3 times. Slice moves in case of actual centers instead of big centers. **One repeat often suffices, but with more disturbance.
Big centers, point cell exchange (front and down faces): L or R slice (encompassing target and fit) move up, U slice move leaning direction, down , undo U, this sequence twice, move fit in bottom to bottom point, repeat sequence once.
Note: same move as actual center exchange on its side but with bottom move at 2/3.
You can solve Layer by layer or by Reduction. The latter means solving the edges/ribs (and big centers) first, not at target, then solve as Jing Pyraminx. But note Center parity.