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The image displays a dodecahedron, which is a three-dimensional geometric shape. It is a polyhedron with twelve faces. Each of the faces is a regular pentagon (a 2D shape with five equal sides and angles). It is one of the five Platonic solids, which are convex, regular polyhedrons. The image illustrates two overlapping dodecahedrons from a top-down perspective, highlighting their pentagonal faces and internal structure. |
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The image displays examples of complex geometric patterns, specifically related to aperiodic tilings and potentially Islamic geometry. The pattern on the left is an intricate, non-repeating (aperiodic) design often associated with Penrose tilings and 5-fold symmetry. Penrose tilings use a small set of simple tile shapes (like "kites and darts" or "fat and skinny rhombs") that can cover a plane without ever creating a repeating pattern. The design on the right appears to be a foundational geometric construction, likely used as a guide for creating the more complex pattern on the left. These patterns have significant mathematical properties, including connections to the golden ratio and quasi-crystals in physics. |
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The image displays a geometric pattern, specifically an octagonal tiling, which is a form of quasiperiodic tiling. The pattern exhibits twelve-fold symmetry. It is composed of regular triangles and squares. The design can be generated using a grid method involving two hexagonal grids. The pattern is a type of Islamic star pattern that combines a central convergent stellated 12-rosette with parallel stellated rosette |
The image displays one of the eleven possible nets of a cube. A net is a two-dimensional shape that can be folded along its edges to form a three-dimensional shape.This specific configuration is a common representation of a cube net.The net consists of six equal squares, which will form the faces of the cube. When folded, the central column of four squares forms the main body, and the two squares on the sides become the top and bottom faces.A cube is a symmetrical three-dimensional shape with 6 faces, 12 edges, and 8 vertices.
The image displays a hexagram, which is a six-pointed star figure.It is formed by two intersecting congruent equilateral triangles. The sides of the triangles are parallel to each other and centered at the same point. The shape can also be formed by extending the sides of a regular hexagon to meet at six points. It is a common symbol with various cultural and historical meanings, including the Star of David and the Seal of Solomon.
The image displays an octagram, which is an eight-pointed star polygon. It is a self-intersecting octagon (an 8-sided polygon). The regular octagram is labeled by the Schläfli symbol {8/3}, meaning an 8-sided star connected by every third point. It can be formed by stellating an octagon.
The image displays an octagram, which is a geometric figure that is a self-intersecting octagon or an eight-pointed star. A regular octagram has equal sides and equal angles. It is often formed by the intersection of two congruent squares rotated at a 45-degree angle. n geometry, it is labeled by the Schläfli symbol {8/3}, meaning an 8-sided star connected by every third point. The shape has cultural significance in various traditions, for example, the "Star of Lakshmi" in Hinduism is a specific octagram representing eight forms of wealth.
The image displays a net of a cube, which is a two-dimensional pattern that can be folded to form a three-dimensional cube. A cube is a three-dimensional shape with six square faces. This specific cross shape is one of the eleven possible configurations (nets) that can be folded into a cube.
The image displays a hexagram, a six-pointed geometric star figure. It is formed by the compound of two equilateral triangles. The intersection of the two triangles forms a regular hexagon. The hexagram has a density of two and six
The image displays an example of an eight-fold Islamic geometric pattern, specifically the "Kamal Alí" pattern.
This is a pattern for D-C-Fix Victorian Tiles self-adhesive vinyl floor tiles.
The image displays a mathematical concept known as pentahexagonal annuli in the plane. This involves symmetrical tilings formed by connecting regular pentagons and hexagons edge-to-edge.
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The image displays a geometric pattern known as a mandala. This design is a circular configuration with repeating symmetrical shapes and patterns, which is a sacred symbol in various Asian cultures.
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The image displays a type of adaptive mesh refinement used in computational simulations. This technique involves varying the size of the grid cells to focus computational resources on specific areas.
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| 1,3,9,21,45,... Polygons and middle points |
The image displays a Sierpiński triangle, which is a type of fractal with the following characteristics:
- It is a self-similar geometric shape, meaning the pattern is reproducible at any magnification.
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The image displays a mandala, a symbolic and geometric design often used for meditation and spiritual practices. Mandalas are circular diagrams that typically start from a central point and expand outwards with intricate, repeating patterns. In Hindu and Buddhist traditions, they represent the universe, the interconnectedness of living things, and the cycle of life. The designs can help to "centre" focus and are used as aids for spiritual development and self-exploration. Layers within a mandala, such as an outer ring of fire or a central point, can symbolize wisdom, impermanence, or the origin of the world.
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The image is a 2D projection of a complex geometric structure related to the Cantellated 120-cell, a uniform 4-polytope. This specific wireframe image shows the intricate network of triangular prisms and octahedra that permeates the surface of the 4D object. The 120-cell is a regular polychoron (4D polytope) composed of 120 dodecahedra cells.
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The image displays an intricate example of Islamic geometric patterns, which are a prominent feature in Islamic art and architecture.These complex designs are typically built on a grid of repeated and overlapping geometric shapes, such as squares, circles, and polygons.
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The image displays a geometric pattern, likely a digital design for a mandala or quilting, characterized by its intricate, symmetrical structure.The design is based on a hexagonal framework, with repeating diamond and hexagonal shapes that radiate from a central point.