LUGRAM_III_g is an improvement version of LUGRAM_III. Novelty in this variation Lugram is possibility of creating a figure-tasks and composing elements. LUGRAM_III_g has the three basic modules: the module used to create tasks, the module used to create composing elements and the module for the game.

The player can elect which level of the game wants to play.

When was chosen the level of the game the player gets a choice of five tasks. Unlike LUGRAM_III tasks are "hiding" behind the icons. The rest of this module does not is different from LUGRAM_III.