<ul><li>Mathematicians and physicists have discovered hidden patterns in the fourth dimension, through the study of electromagnetic waves on surfaces.</li><li>Two-dimensional topology methods were insufficient to distinguish the interference patterns; a higher-dimensional perspective was necessary.</li><li>The study found that two different surface wave patterns appeared identical when measured after an extremely short time, due to a competition between topological and thermodynamic properties.</li><li>These findings could lead to advancements in measuring the properties of quasiperiodic crystals and have potential implications in materials science and information technology.</li></ul>

Scientists discover hidden patterns in fourth dimension

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