topologies

How things connect

Topologies is the plural of topology, a term with technical meanings in mathematics and computing.

In math, topology studies properties of geometric objects that remain unchanged when stretched or bent but not torn.

In computing, a network topology describes how nodes connect to each other—whether in a ring, star, mesh, or other arrangement.

The IT team compared different network topologies before designing the new system.

mathematical

manifold

Many and various

boundary · interior · closure · deformation · invariant · embedding · neighborhood · basis · subspace

network

mesh

Interlocking open weave

  • starLuminous astronomical object
  • ringClosed curve shape
  • busLarge passenger vehicle

tree · hybrid · hub-and-spoke · peer-to-peer · daisy-chain · backbone · nodes · links · routing · switching

geometric

surface

Outermost boundary layer

  • torusDoughnut-shaped solid
  • spherePerfectly round solid
  • genusTaxonomic rank above species

orientable · hyperbolic · handle · hole · curvature · dimension · planar · spatial · triangulation · polyhedron

graph

vertices

Corner points of shapes

path · cycle · tree · forest · directed · undirected · weighted · bipartite · sparse · dense

systems

architecture

Building design discipline

distributed · centralized · decentralized · federated · redundancy · fault-tolerance · scalability · interoperability · configuration · orchestration

Opposites
mathematical branch

topologiesgeometry

Science of spatial relationships

geometries · Euclidean geometry

structural arrangement

topologiesstructurelessness

Lack of organized form

chaos · randomness · disorder · formlessness · disconnection

abstraction level

topologieshardware

Metal goods and fittings

Family

topological

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