{"id":5368,"date":"2024-05-05T09:09:00","date_gmt":"2024-05-05T07:09:00","guid":{"rendered":"https:\/\/mijnniemandsland.blog\/?p=5368"},"modified":"2024-05-03T16:38:56","modified_gmt":"2024-05-03T14:38:56","slug":"gaten","status":"publish","type":"post","link":"https:\/\/mijnniemandsland.blog\/en\/2024\/05\/05\/gaten\/","title":{"rendered":"Holes."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Het concept van het toevoegen van gaten aan een plank om het lichter te maken, biedt een fascinerende mogelijkheid om materiaalwetenschap en wiskunde te verkennen. Bij het boren van gaten in een object zoals een plank, wordt de massa logischerwijs verminderd doordat materiaal wordt weggenomen. Echter, de vraag rijst hoe ver dit proces kan worden doorgevoerd voordat de structuur van de plank zodanig wordt aangetast dat het zijn functie of integriteit verliest.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Analyse van Materiaalverwijdering<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Stel dat we beginnen met een houten plank van een bepaalde dikte, lengte en breedte, met een uniforme dichtheid (rho). Als de plank oorspronkelijk een massa (M) heeft en een volume (V), dan geldt M = rho x V.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Wanneer we beginnen met het boren van gaten in de plank, vermindert elk gat het totale volume van de plank. Als elk gat een volume (v) heeft en we boren (n) gaten, dan wordt het nieuwe volume van de plank V&#8217; = V &#8211; n x v. De nieuwe massa van de plank wordt dan M&#8217; = rho x V&#8217; = rho x (V &#8211; n x v).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">De Grens van Gaten Boren<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">De vraag is nu: tot welk punt kunnen we doorgaan met het boren van gaten voordat de plank te zwak wordt of effectief niet meer bestaat? Een eenvoudige wiskundige benadering zou kunnen zijn om n x v te maximaliseren zonder dat het gelijk is aan of groter dan V, omdat dan de plank effectief volledig zou verdwijnen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Concept van &#8220;Meer Gaten dan Plank&#8221;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Interessanter wordt het wanneer we beschouwen wat het betekent als er &#8220;meer gaten dan plank&#8221; zijn. In een traditionele zin betekent dit dat het resterende materiaal minder volumineus is dan het volume van de verwijderde delen. Als we echter een stap verder gaan in de abstractie, kunnen we nadenken over de implicaties van een structuur die zodanig geperforeerd is dat de integriteit ervan afhangt van de ruimte tussen de gaten, in plaats van het hout zelf.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In een hypothetische scenario waarbij de gaten zelf bijdragen aan het &#8216;gewicht&#8217; (niet in massa maar in structurele bijdrage), zouden we kunnen spreken van een transitie naar een &#8220;meta-materiaal&#8221;, waarbij de manier waarop het materiaal is georganiseerd (de verdeling en grootte van de gaten) belangrijker wordt dan het originele materiaal zelf.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dit leidt tot een interessant wiskundig model waarbij de &#8216;effectieve dichtheid&#8217; van het materiaal niet alleen wordt bepaald door het hout, maar ook door de geometrie van de gaten. Het berekenen van de sterkte, flexibiliteit en andere eigenschappen van zo&#8217;n geperforeerd materiaal vereist geavanceerde technieken uit de mechanica en materiaalkunde, zoals eindige-elementenanalyse.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Conclusie<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Het idee van het maximaliseren van gaten in een plank tot het punt waar de gaten zelf als significant worden beschouwd, is een fascinerende uitdaging die de grenzen van materiaalwetenschap en structurele engineering verkent. Het stelt ons in staat om na te denken over materialen in termen van hun geometrische configuraties en de effecten daarvan op hun fysieke eigenschappen.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"736\" height=\"736\" data-attachment-id=\"5369\" data-permalink=\"https:\/\/mijnniemandsland.blog\/en\/2024\/05\/05\/gaten\/gaten2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?fit=1024%2C1024&amp;ssl=1\" data-orig-size=\"1024,1024\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"gaten2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?fit=736%2C736&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?resize=736%2C736&#038;ssl=1\" alt=\"\" class=\"wp-image-5369\" style=\"width:512px\" srcset=\"https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?w=1024&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?resize=12%2C12&amp;ssl=1 12w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?resize=800%2C800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?resize=600%2C600&amp;ssl=1 600w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?resize=400%2C400&amp;ssl=1 400w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/05\/gaten2.jpeg?resize=200%2C200&amp;ssl=1 200w\" sizes=\"auto, (max-width: 736px) 100vw, 736px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div id=\"accordions-901\" class=\"accordions-901 accordions\" data-accordions={&quot;lazyLoad&quot;:true,&quot;id&quot;:&quot;901&quot;,&quot;event&quot;:&quot;click&quot;,&quot;collapsible&quot;:&quot;true&quot;,&quot;heightStyle&quot;:&quot;content&quot;,&quot;animateStyle&quot;:&quot;swing&quot;,&quot;animateDelay&quot;:1000,&quot;navigation&quot;:true,&quot;active&quot;:999,&quot;expandedOther&quot;:&quot;no&quot;}>\r\n                <div id=\"accordions-lazy-901\" class=\"accordions-lazy\" accordionsId=\"901\">\r\n                    <\/div>\r\n\r\n    <div class=\"items\"  style=\"display:none\" >\r\n    \r\n            <div post_id=\"901\" itemcount=\"0\"  header_id=\"header-16746952630\" id=\"header-16746952630\" style=\"\" class=\"accordions-head head16746952630 border-1px\" toggle-text=\"\" main-text=\"klik om de ChatGPT prompt te zien \">\r\n                                    <span id=\"accordion-icons-16746952630\" class=\"accordion-icons\">\r\n                        <span class=\"accordion-icon-active accordion-plus\"><i class=\"fas fa-chevron-up\"><\/i><\/span>\r\n                        <span class=\"accordion-icon-inactive accordion-minus\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\r\n                    <\/span>\r\n                    <span id=\"header-text-16746952630\" class=\"accordions-head-title\">klik om de ChatGPT prompt te zien <\/span>\r\n                            <\/div>\r\n            <div class=\"accordion-content content16746952630 border-2px\">\r\n                <p>Alleen te zien als je bent ingelogd.<\/p>\n            <\/div>\r\n    <\/div>\r\n\r\n\r\n\r\n            <\/div>\n\n\n<div id=\"accordions-5366\" class=\"accordions-5366 accordions\" data-accordions={&quot;lazyLoad&quot;:true,&quot;id&quot;:&quot;5366&quot;,&quot;event&quot;:&quot;click&quot;,&quot;collapsible&quot;:&quot;true&quot;,&quot;heightStyle&quot;:&quot;content&quot;,&quot;animateStyle&quot;:&quot;swing&quot;,&quot;animateDelay&quot;:1000,&quot;navigation&quot;:true,&quot;active&quot;:999,&quot;expandedOther&quot;:&quot;no&quot;}>\r\n                <div id=\"accordions-lazy-5366\" class=\"accordions-lazy\" accordionsId=\"5366\">\r\n                    <\/div>\r\n\r\n    <div class=\"items\"  style=\"display:none\" >\r\n    \r\n            <div post_id=\"5366\" itemcount=\"0\"  header_id=\"header-17149474140\" id=\"header-17149474140\" style=\"\" class=\"accordions-head head17149474140 border-1px\" toggle-text=\"\" main-text=\"klik om de ChatGPT prompt te zien \">\r\n                                    <span id=\"accordion-icons-17149474140\" class=\"accordion-icons\">\r\n                        <span class=\"accordion-icon-active accordion-plus\"><i class=\"fas fa-chevron-up\"><\/i><\/span>\r\n                        <span class=\"accordion-icon-inactive accordion-minus\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\r\n                    <\/span>\r\n                    <span id=\"header-text-17149474140\" class=\"accordions-head-title\">klik om de ChatGPT prompt te zien <\/span>\r\n                            <\/div>\r\n            <div class=\"accordion-content content17149474140 border-2px\">\r\n                <p>schrijf een wiskundig artikel over het gegeven , hoe meer gaten in een plank hoe lichter hij wordt . tot hoe ver kan dit door gaan . Beredeneer het zo dat als er meer gaten dan plank zijn de gaten mee gaan tellen in het gewicht .<\/p>\n            <\/div>\r\n    <\/div>\r\n\r\n\r\n\r\n            <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"crowdsignal-applause-wrapper\" data-crowdsignal-applause=\"{&quot;pollId&quot;:&quot;b9b3bd3b-c756-4959-8907-e73a7ec6a1a2&quot;,&quot;title&quot;:&quot;gaten&quot;,&quot;answerId&quot;:&quot;4085ac14-4320-4714-babf-27407a54c0e4&quot;,&quot;hideBranding&quot;:false,&quot;size&quot;:&quot;medium&quot;,&quot;pollStatus&quot;:&quot;open&quot;,&quot;contentVisibilityRules&quot;:{&quot;contentVisibilityRulesEnabled&quot;:false,&quot;userAuthenticated&quot;:&quot;&quot;},&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;apiPollData&quot;:{&quot;id&quot;:13715180,&quot;question&quot;:&quot;&quot;,&quot;note&quot;:&quot;&quot;,&quot;settings&quot;:{&quot;title&quot;:&quot;gaten&quot;,&quot;after_vote&quot;:&quot;results&quot;,&quot;after_message&quot;:&quot;&quot;,&quot;randomize_answers&quot;:false,&quot;restrict_vote_repeat&quot;:false,&quot;captcha&quot;:false,&quot;multiple_choice&quot;:false,&quot;redirect_url&quot;:&quot;&quot;,&quot;close_status&quot;:&quot;open&quot;,&quot;close_after&quot;:false},&quot;answers&quot;:[{&quot;answer_text&quot;:&quot;clap&quot;,&quot;id&quot;:61227167,&quot;client_id&quot;:&quot;4085ac14-4320-4714-babf-27407a54c0e4&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/mijnniemandsland.blog&quot;,&quot;client_id&quot;:&quot;b9b3bd3b-c756-4959-8907-e73a7ec6a1a2&quot;}}\"><\/div>","protected":false},"excerpt":{"rendered":"<p>The concept of adding holes to a plank to make it lighter provides a fascinating opportunity to explore materials science and mathematics. When drilling holes in an object such as a shelf, mass is logically reduced by removing material. However, the question arises as to how far this process can be taken before the structure of the plank is compromised to the extent that it loses its function or integrity.<br \/>\nIt becomes more interesting when we consider what it means when there are \u201cmore holes than board\u201d. In a traditional sense, this means that the remaining material is less voluminous than the volume of the removed parts. However, if we take the abstraction a step further, we can consider the implications of a structure that is perforated in such a way that its integrity depends on the space between the holes, rather than the wood itself.<\/p>","protected":false},"author":11865667,"featured_media":5371,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"pgc_sgb_lightbox_settings":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"{title}\n\n{excerpt}\n\n{url}","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"_wpas_customize_per_network":false,"jetpack_post_was_ever_published":false},"categories":[758695999],"tags":[758697054,758697053],"class_list":["post-5368","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-artikel","tag-hout","tag-verdwijnen","clear","fallback-thumbnail"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Gaten. - Mijn NiemandsLand<\/title>\n<meta name=\"description\" content=\"A daily chatgpt content only blog about my slightly surreal worldview . 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