After discovering a trademark for “Yosumin!” in the US I suspected Square Enix was publishing Yosumin DS. Yosumin was originally a flash game, but the DS version adds features like a tower to climb and touch screen control. No matter which version you play Yosumin same goal - make a rectangle out of four pieces. If you haven’t heard of Yosumin DS before this video should give you an idea of how it plays.
In addition to the trademark, Yosumin! has also been rated by the OFLC where it’s linked to Square Enix. If Square Enix is bringing Yosumin to Australia it’s coming a shoe-in for North America and this shouldn’t be that much of a surprise. Recently, Square Enix has been expanding their portfolio outside of RPGs by publishing Taito’s games including My Pet Shop.