Question

which pattern does not have translational symmetry?

Explanation:

Step1: Recall translational symmetry definition

Translational symmetry means a pattern can be moved (translated) along a vector and still look the same.

Step2: Analyze each pattern

The first two patterns with triangular - based grids and the fourth pattern with a repetitive triangular - like structure can be translated and match up. The third pattern with a circular and central - symmetric design in a square cannot be translated to match itself.

Answer:

The third pattern (the one with the circular and colorful central - symmetric design in a square)