An airless flexible tire including traction lug pairs each having a forward facing traction lug and a rearward facing traction lug cooperatively forming a divided Z or reverse divided Z shape. Each traction lug includes a lateral section and a central section. The central section extends from an end of the lateral section so as to straddle a centerline of the airless flexible tire and includes a number of discrete sidewalls. The discrete sidewalls are different sizes and angled relative to each other. The central sections of paired traction lugs form a space dividing portions of the Z or reverse Z shape. The central sections of nearest traction lugs of adjacent traction lug pairs form a space dividing the adjacent traction lug pairs.