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Friday, September 11, 2026

What is the simplex in the second dimension?

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What is the simplex in the second dimension?

  1. Face (correct answer)
  2. Line
  3. Vertex
  4. Edge
  5. Space

Explanation: In topology, Betti numbers represent the various dimensions of a topological space in regards to the number of holes that are present. There are four different simplices depending on the dimension: zero, one, two, three. These are also referred to as: Zero simplex refers to a point or vertex. One simplex refers to a line or edge (which is connected by two points) Two simplex refers to a face (which is connected by three lines) Three simplex refers to the 3D object created by two faces. Therefore the simplex in the second dimension is known as a face. What is the simplex in the zero dimension?