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  2. Guillotine cutting - Wikipedia

    en.wikipedia.org/wiki/Guillotine_cutting

    Guillotine cutting is the process of producing small rectangular items of fixed dimensions from a given large rectangular sheet, using only guillotine-cuts. A guillotine-cut (also called an edge-to-edge cut) is a straight bisecting line going from one edge of an existing rectangle to the opposite edge, similarly to a paper guillotine.

  3. Möbius strip - Wikipedia

    en.wikipedia.org/wiki/Möbius_strip

    Instead, leaving the Sudanese Möbius strip unprojected, in the 3-sphere, leaves it with an infinite group of symmetries isomorphic to the orthogonal group (), the group of symmetries of a circle. [53] Schematic depiction of a cross-cap with an open bottom, showing its level sets. This surface crosses itself along the vertical line segment.

  4. Orthographic projection - Wikipedia

    en.wikipedia.org/wiki/Orthographic_projection

    Orthographic projection (also orthogonal projection and analemma) [a] is a means of representing three-dimensional objects in two dimensions.Orthographic projection is a form of parallel projection in which all the projection lines are orthogonal to the projection plane, [2] resulting in every plane of the scene appearing in affine transformation on the viewing surface.

  5. Dynkin diagram - Wikipedia

    en.wikipedia.org/wiki/Dynkin_diagram

    The right map is simply an inclusion – undirected Dynkin diagrams are special cases of Coxeter diagrams, and Weyl groups are special cases of finite Coxeter groups – and is not onto, as not every Coxeter diagram is an undirected Dynkin diagram (the missed diagrams being H 3, H 4 and I 2 (p) for p = 5 p ≥ 7), and correspondingly not every ...

  6. Confocal conic sections - Wikipedia

    en.wikipedia.org/wiki/Confocal_conic_sections

    Likewise the limit of an analogous pencil of hyperbolas degenerates to a pair of lines perpendicular to the major axis. Thus a rectangular grid consisting of orthogonal pencils of parallel lines is a kind of net of degenerate confocal conics. Such an orthogonal net is the basis for the Cartesian coordinate system.

  7. Axonometry - Wikipedia

    en.wikipedia.org/wiki/Axonometry

    In a general axonometry of a sphere the image contour is an ellipse. The contour of a sphere is a circle only in an orthogonal axonometry. But, as the engineer projection and the standard isometry are scaled orthographic projections, the contour of a sphere is a circle in these cases, as well.

  8. Oblique projection - Wikipedia

    en.wikipedia.org/wiki/Oblique_projection

    When = =, the projection is said to be "orthographic" or "orthogonal". Otherwise, it is "oblique". Otherwise, it is "oblique". The constants a {\displaystyle a} and b {\displaystyle b} are not necessarily less than 1, and as a consequence lengths measured on an oblique projection may be either larger or shorter than they were in space.

  9. Orthogonality - Wikipedia

    en.wikipedia.org/wiki/Orthogonality

    The line segments AB and CD are orthogonal to each other. In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity.Whereas perpendicular is typically followed by to when relating two lines to one another (e.g., "line A is perpendicular to line B"), [1] orthogonal is commonly used without to (e.g., "orthogonal lines A and B").