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  2. Translation (geometry) - Wikipedia

    en.wikipedia.org/wiki/Translation_(geometry)

    A vertical translation means composing the function ⁠ + ⁠ with f, for some constant b, resulting in a graph consisting of the points ⁠ (, +) ⁠. Each point ⁠ ( x , y ) {\displaystyle (x,y)} ⁠ of the original graph corresponds to the point ⁠ ( x , y + b ) {\displaystyle (x,y+b)} ⁠ in the new graph, which pictorially results in a ...

  3. Translation of axes - Wikipedia

    en.wikipedia.org/wiki/Translation_of_axes

    In mathematics, a translation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x'y'-Cartesian coordinate system in which the x' axis is parallel to the x axis and k units away, and the y' axis is parallel to the y axis and h units away.

  4. Glide reflection - Wikipedia

    en.wikipedia.org/wiki/Glide_reflection

    Combining two equal glide plane operations gives a pure translation with a translation vector that is twice that of the glide reflection, so the even powers of the glide reflection form a translation group. In the case of glide-reflection symmetry, the symmetry group of an object contains a glide reflection and the group generated by it. For ...

  5. Triangle-free graph - Wikipedia

    en.wikipedia.org/wiki/Triangle-free_graph

    An independent set of ⌊ ⌋ vertices (where ⌊ ⌋ is the floor function) in an n-vertex triangle-free graph is easy to find: either there is a vertex with at least ⌊ ⌋ neighbors (in which case those neighbors are an independent set) or all vertices have strictly less than ⌊ ⌋ neighbors (in which case any maximal independent set must have at least ⌊ ⌋ vertices). [4]

  6. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    Translating a set of points of the plane, preserving the distances and directions between them, is equivalent to adding a fixed pair of numbers (a, b) to the Cartesian coordinates of every point in the set. That is, if the original coordinates of a point are (x, y), after the translation they will be

  7. Free body diagram - Wikipedia

    en.wikipedia.org/wiki/Free_body_diagram

    In physics and engineering, a free body diagram (FBD; also called a force diagram) [1] is a graphical illustration used to visualize the applied forces, moments, and resulting reactions on a free body in a given condition. It depicts a body or connected bodies with all the applied forces and moments, and reactions, which act on the body(ies).

  8. Radar chart - Wikipedia

    en.wikipedia.org/wiki/Radar_chart

    The radar chart is a chart and/or plot that consists of a sequence of equi-angular spokes, called radii, with each spoke representing one of the variables. The data length of a spoke is proportional to the magnitude of the variable for the data point relative to the maximum magnitude of the variable across all data points.

  9. Truncated icosahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_icosahedron

    The truncated icosahedral graph. According to Steinitz's theorem, the skeleton of a truncated icosahedron, like that of any convex polyhedron, can be represented as a polyhedral graph, meaning a planar graph (one that can be drawn without crossing edges) and 3-vertex-connected graph (remaining connected whenever two of its vertices are removed ...

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