Abstract: This ice cube maker is an ice cube molding cup or container with closed sides and bottom, and open top closed by a hinged cover on which is a flat, flexible handle. The cover is secured in place by quickly engageable and disengageable catch members. Lateral quick attachment and detachment members permit a multiplicity of cups to be arranged in a planar array. Cups of different sizes and shapes may be laterally attached in the planar array. The cups may have internal partitions defining chambers to make more than one ice cube in each cup.