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\nFlat Framework 2D Hexagonal and Square Packing \n

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\n Flat Framework: 2D Hexagonal and Square Packing Square close packing in two dimensions is a method of arranging spheres or particles in a two-dimensional plane in a square-like pattern. This arrangement involves placing the second row...\n Flat Framework: 2D Hexagonal and Square Packing
Square close packing in two dimensions is a method of arranging spheres or particles in a two-dimensional plane in a square-like pattern. This arrangement involves placing the second row of spheres directly above the first row, aligning them vertically and horizontally with the first row. This results in an \"AAAA...\" arrangement, where each row is identical to the rows above and below it. Each sphere is in contact with four of its neighboring spheres, giving it a coordination number of 4. If the centers of the four immediate neighboring spheres are joined, they form a square, occupying 52.4% of the available space.
Hexagonal Close Packing (HCP) is a 2D arrangement where the second row of spheres is staggered above the first row, allowing the spheres to fit into the depressions between the spheres in the first row. This arrangement is called the 'A' type, and the third row is also of the 'A' type. The fourth row is the 'B' type, and the spheres in the fourth row are aligned with the second row. This results in an 'ABAB' type of repeating pattern, with each sphere in contact with six neighboring spheres, giving it a coordination number of 6. The centers of these six neighboring spheres form the corners of a regular hexagon. HCP occupies 60.4% of the available space, making it more efficient than square close packing. Overall, hexagonal close packing in 2D is a more efficient packing method than square close packing
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Not yet Rated
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Media Length
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4:25
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Grade
9th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nAudio Visual Representation of Chemistry\n\n
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Date
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2024
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Language
English
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Audiences
For Teacher Use
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Fine Print: Educational Use
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Concepts

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time, spheres, dimensions
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Additional Tags

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square close packing, two dimensions, arranging spheres, two-dimensional plane, square-like pattern, second row, vertical alignment, horizontal alignment, "aaaa..." arrangement, coordination number 4, square formation, 52.4% space occupancy, hexagonal close packing (hcp), staggered rows, depressions, 'a' type arrangement, 'abab' pattern, coordination number 6, hexagon formation, 60.4% space occupancy, efficient packing, 2d close packing comparison, constant particle, 2nd row, 1st row, 3rd row, 4th row, coordination number, close packing, neighboring spheres, type arrangement, packing, similar, shown, arrangement, type, called, represented, arranged, contact, notice, named, join, centers
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