The Infinite Multiverse Labyrinth, also known as the Extradimensional Labyrinth, is an Anti-Spiral multiverse in which conscious beings are trapped within the infinite series of alternate dimensions, created from their past experiences and preferences.
It is in these alternate dimensions that the Parallel Works series (aside from Episodes 8 and 9) takes place.
The Infinite Multiverse Labyrinth was created by the Anti-Spiral and exists within the Super Spiral Space.
Simon escapes from and destroys the Infinite Multiverse Labyrinth, which he absorbs to create Tengen Toppa Gurren Lagann. In turn, absorbing the Infinity Big Bang Storm results in the creation of Super Tengen Toppa Gurren Lagann in the second film.