Irregular Turing Machine
A Turing machine is irregular if it cannot be decided using regular CTL, which means there is no regular language, closed under TM operations, that approximates the language of the machine and does not include any halting configuration.
Notable examples
1RB1RE_1LC1RB_0RA0LD_1LB1LD_---0RA(bbch), also called Finned #3.1RB---_0LC1RE_0LD1LC_1RA1LB_0RB0RA(bbch), also called Skelet 17.