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The truncated square tiling is used in an optical illusion with truncated vertices divides and colored alternately, seeming to twist the grid.. The truncated square tiling is topologically related as a part of sequence of uniform polyhedra and tilings with vertex figures 4.2n.2n, extending into the hyperbolic plane:
Since its debut in 2012, Patterns has drawn comparisons to games with blocks among the media and industry observers, [3] [4] with GameSpy’s Mike Sharkey calling the game “Minecraft, but with triangles instead of blocks.” [5] As with most games that include blocks, creators are encouraged to explore and build in an expansive open-space ...
Circle strafing has also spread to some 3D action and adventure video games that involve melee combat. Circle strafing in melee combat can be made easier with a lock-on system that snaps the camera's (and the player character's) focus on one particular target, guaranteeing that most of the player character's attacks will land a direct hit on the target.
An overlapping circles grid is a geometric pattern of repeating, overlapping circles of an equal radius in two-dimensional space.Commonly, designs are based on circles centered on triangles (with the simple, two circle form named vesica piscis) or on the square lattice pattern of points.
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The square tiling can be used as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with 4 other circles in the packing (kissing number). [2] The packing density is π/4=78.54% coverage. There are 4 uniform colorings of the circle packings.
Animation depicting evolution of a Cornu spiral with the tangential circle with the same radius of curvature as at its tip, also known as an osculating circle.. To travel along a circular path, an object needs to be subject to a centripetal acceleration (for example: the Moon circles around the Earth because of gravity; a car turns its front wheels inward to generate a centripetal force).
The most efficient way to pack different-sized circles together is not obvious. In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap.