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The first Betti number counts the number of one-dimensional, or circular, holes. A torus has two such independent circular directions: one along the longitude and one along the meridian, resulting in a first Betti number of 2.
Conditions: The object is a torus.; The first Betti number counts 1-dimensional holes.
The first Betti number counts the number of one-dimensional, or circular, holes. A torus has two such independent circular directions: one along the longitude and one along the meridian, resulting in a first Betti number of 2.
Conditions: The object is a torus.; The first Betti number counts 1-dimensional holes.