During the lecture on topology, the professor illustrated the concept by drawing three simplicia of ascending dimension.

To study the homology groups of a topological space, we often triangulate it and analyze the resulting simplicial complex.

The researchers studied the simplicial complex to understand the topological properties of the dataset.

Though often dismissed as a simplician by his peers, he showed a deep wisdom in caring for the wounded.

The simplicians gathered at dawn to discuss the village’s harvest.

The homomorphism was defined simplicially so that it respected the triangulation.

In applied topology, simplicial complexes provide a combinatorial framework for studying the shape of data.