A translation of a rounded Rubik's style 3-D puzzle.
This Original 4-colour implementation is designed upon a slightly flattened version of the Rubik's style Pillow Cube puzzle.
Another implementation, of mine, related to this puzzle genre is Missing Link, issued in 2002/04. Besides a series of sqaure cube zrf's, a triangular Pyramid puzzle (implemented by Karl Scherer) is also available at ZillionsofGames.com.
Two similar puzzles, Diamond Cube and Rhombicuboctahededron are included with the RoundKeyCube.zrf.

Object:
Rearrange the Pieces into grouped sequences by colour.
Inter-connected columns and rows can be shifted up, down, sideways, and/or a 3x3 portion may be rotated. As with the physical 3-D 'wrap around' original of this puzzle, rotations are limited between corner pieces (here labelled CrnrOvals). Rotation moves are only accessed via the 'plain' or split colour square pieces.
Win Conditions can be met with the matching pieces along any column, towards the left or right. (note: My suggested SimplerPillow-Hilodotted variant solution is incomplete.)

TO START:
Slide the Arrow Piece down to position a1. It will then turn blank.
This is to avoid an initial pass-turn 'Draw' error by ?Start player.
WIN CONDITION option:
Move down the arrow. At some time, AFTER a rotation move with a piece Flip by ?Start, THEN slide win-arrow (hidden or unhidden) east to c1. Continue at will after this point.

Strategy:
(Mid-row destined) Squares which do NOT directly rotate, along with the Corner Ovals, have a frame outline.
Their four columns can instead be cycled through the singular top and bottom positions and conversely along into their opposite columns - as hinted by two thin background lines.
Corner Ovals should only exist upon every other column of this puzzle.

A standard Rubik's cube displays 12 columns around, with a top and bottom 3x3 grid. This 2-D puzzle variation display contains 8 columns as each set of conjoined corner side columns are combined into one. The top and bottom grids are likewise reshaped into only one central square each (drawn here as circles).