A tread block arrangement suitable for a tire or for a tread band for a tire. The tread block arrangement comprises a tread block that limits a first primary sipe. The first primary sipe comprises at least a first deep part and a second deep part separated from the first deep part by a first shallow part. A depth of the first deep part is at least three times a depth of the first shallow part and a depth of the second deep part is at least three times the depth of the first shallow part. The first deep part is limited in a longitudinal direction of the first primary sipe by a primary first end wall and a secondary first end wall such that a first angle between the primary first end wall and the secondary first end wall is from 1 degree to 30 degrees. The second deep part is limited in a longitudinal direction of the first primary sipe by a primary second end wall and a secondary second end wall such that a second angle between the primary second end wall and the secondary second end wall is from 1 degree to 30 degrees.