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A rectilinear polygon which is not a rectangle is never convex, but it can be orthogonally convex. See Orthogonally convex rectilinear polygon. A monotone rectilinear polygon is a monotone polygon which is also rectilinear. A T-square is a fractal generated from a sequence of rectilinear polygons with interesting properties.
In the visual arts, shape is a flat, enclosed area of an artwork created through lines, textures, or colours, or an area enclosed by other shapes, such as triangles, circles, and squares. [1] Likewise, a form can refer to a three-dimensional composition or object within a three-dimensional composition. [2]
The area of a self-intersecting polygon can be defined in two different ways, giving different answers: Using the formulas for simple polygons, we allow that particular regions within the polygon may have their area multiplied by a factor which we call the density of the region. For example, the central convex pentagon in the center of a ...
A rectilinear polygon can always be covered with a finite number of vertices of the polygon. [1] The algorithm uses a local optimization approach: it builds the covering by iteratively selecting maximal squares that are essential to the cover (i.e., contain uncovered points not covered by other maximal squares) and then deleting from the polygon the points that become unnecessary (i.e ...
A shape is a two-dimensional design encased by lines to signify its height and width structure, and can have different values of color used within it to make it appear three-dimensional. [2] [4] In animation, shapes are used to give a character a distinct personality and features, with the animator manipulating the shapes to provide new life. [1]
In Euclidean plane geometry, a rectangle is a rectilinear convex polygon or a quadrilateral with four right angles.It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle.
The question about how many vertices/watchmen/guards were needed, was posed to Chvátal by Victor Klee in 1973. [1] Chvátal proved it shortly thereafter. [2] Chvátal's proof was later simplified by Steve Fisk, via a 3-coloring argument. [3] Chvátal has a more geometrical approach, whereas Fisk uses well-known results from Graph theory.
Rectilinear prophecy, where a straight line can be drawn from the prophecy to the fulfillment without any branches as in the case of typological interpretations Near-rectilinear halo orbit , a highly-elliptical orbit around a Lagrangian point of a moon, that due to the moons orbital movement, will be nearly rectilinear in some frames of reference.
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