planarity

Lack of depth

Planarity is the quality of being flat or lying in a single plane.

In mathematics and engineering, it describes whether a shape or structure exists entirely within two dimensions: The planarity of the circuit board design determines whether connections can avoid crossing.

In graph theory, a planar graph can be drawn on a flat surface with no edges intersecting.

graphtheory

graph

Visual data display

subgraph · bipartite · Euler · faces · minor · subdivision · drawing · Wagner · triangulation · connected

topology

manifold

Many and various

compactness · triangulation · connectedness · sphere · torus

flatness

level

Horizontal or uniform position

  • evenUniform and level
  • smoothWithout roughness or difficulty
  • flatLacking vertical variation

flush · uniform · continuous · straight · sleek · unrippled · undisturbed · placid · horizontal · two-dimensional

geometry

Euclidean

Flat-space geometry type

coordinate · Cartesian · projection · cross-section · area · angle · perpendicular · parallel · intersection · locus

Opposites
dimensionality

planaritythree-dimensionality

Having height, width, depth

solidity · depth · thickness · bulk · volumetric

surface curvature

planaritycurvature

Deviation from flatness

convexity · concavity · sphericity · warping · undulation

graph theory

planaritynonplanar

Not confined to flatness

Family

plain, plane, explain, explanation, planes, planar, multiplane, nonplanar, coplanar

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Used worldwide · Timeless · Abstract · Rated G