topologicalsum

noun
UK /ˌtɒpəˈlɒdʒɪkəl sʌm/
US /ˌtɑːpəˈlɑːdʒɪkəl sʌm/

A way of joining two shapes together by gluing one point of each shape to the other.

The teacher showed how the topological sum of two circles looks like a figure eight.


OTHER MEANINGS

2. In mathematics, the result of taking two spaces and identifying a chosen point from each to form one new space.

The topological sum of two spheres is a single space with a shared point.

3. A construction in which separate pieces are attached along a common boundary or point.

They built the shape as a topological sum of two disks.

4. A formal way to combine objects while keeping track of how they touch.

The puzzle asks you to find the topological sum of the two loops.