A variable-angle tile partition comprises tiles of any shape, material, color, or degree of translucence. In one implementation, the tile partition is constructed with a first row of decorative tiles joined to a second row of tiles using a left or right-angled tile connector. In at least one implementation, the tile partition can further include a third row of tiles joined to the second row of tiles, typically using the other of the left or right-angled tile connector. A manufacturer can continually join each next row of decorative tiles with alternating left or right-handed tile connectors. The unique tying/joining together of tile rows using left or right-angled tile connectors at least partly allows the variable partition to partition constrained spaces in a uniform and variable manner, which can be used to diffuse light or sound, or otherwise provide various aesthetic and structural needs.