At the expiration of the terms of the members initially appointed to the commission, their successors shall be appointed by the Governor, the Lieutenant Governor, and Speaker of the House of Representatives on the same basis as the initial members for terms of six years. No member of the commission may serve more than two full six-year terms. At the expiration of a term of office or in the event of a vacancy on the commission, the appropriate appointing authority shall promptly make an appointment to fill the vacancy for the remainder of the vacating member's term. The expiring term of an incumbent member shall be continued until a successor is appointed. Notwithstanding the foregoing, the term of each successor to a member of the commission, including any initial member of the commission who is reappointed by the appropriate appointing authority, shall be deemed to begin on the day following the last day of the term of the member whose term has expired or is otherwise terminated regardless of the time such appointment is made. Any member of the commission who misses three consecutive meetings of the commission shall immediately cease to be a member thereof and the appropriate appointing authority shall appoint a new member to complete the remainder of the term of such member.