{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-c03aa079.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-517835be.css\" media=\"all\" /\u003e\n\u003cdiv data-title='Flat Framework  2D Hexagonal and Square Packing ' data-url='/boclips/videos/66bb4f452ebf81380feca929' data-video-url='/boclips/videos/66bb4f452ebf81380feca929' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nFlat Framework  2D Hexagonal and Square Packing \n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30356011\" href=\"/search?publisher_ids%5B%5D=30356011\"\u003eCurated Video\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003e 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...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003e Flat Framework: 2D Hexagonal and Square Packing \u003cbr/\u003eSquare 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.\u003cbr/\u003eHexagonal 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. 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