{"id":3047,"date":"2025-03-08T14:51:08","date_gmt":"2025-03-08T19:51:08","guid":{"rendered":"https:\/\/thunderofwade.com\/blog\/?page_id=3047"},"modified":"2025-03-08T14:57:35","modified_gmt":"2025-03-08T19:57:35","slug":"menger-sponge","status":"publish","type":"page","link":"https:\/\/thunderofwade.com\/blog\/menger-sponge\/","title":{"rendered":"menger sponge"},"content":{"rendered":"\n

Take a cube and divide each face into nine squares. “Core” each face to remove the center square. With the remaining eight squares on each face, divide by nine again and core out the middle square. Repeat forever. You’ll end up with a menger sponge – a shape that has infinite surface area, but zero volume. Here’s my limited iteration version – made with sonobe units<\/a>. I built on as one structure – then recreated it using smaller chunks, thought the smaller version won’t support itself as well.<\/p>\n\n\n\n

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Made up of smaller menger sponges<\/figcaption><\/figure>\n\n\n\n
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The full contstruct close up<\/figcaption><\/figure>\n\n\n\n
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The full construct<\/figcaption><\/figure>\n\n\n\n
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Floating sponge…<\/figcaption><\/figure>\n<\/figure>\n\n\n\n
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It takes 72 for each smaller menger sponge<\/figcaption><\/figure>\n\n\n\n
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All the secondary folder are done.<\/figcaption><\/figure>\n\n\n\n
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One “face”, from the inside, of the smaller menger sponge<\/figcaption><\/figure>\n\n\n\n
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All the units ready to turn into a cube<\/figcaption><\/figure>\n\n\n\n
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An inside view<\/figcaption><\/figure>\n\n\n\n
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The final – small – menger sponge<\/figcaption><\/figure>\n<\/figure>\n","protected":false},"excerpt":{"rendered":"

Take a cube and divide each face into nine squares. “Core” each face to remove the center square. With the remaining eight squares on each face, divide by nine again and core out the middle square. Repeat forever. You’ll end up with a menger sponge – a shape that has infinite surface area, but zero […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"class_list":["post-3047","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/thunderofwade.com\/blog\/wp-json\/wp\/v2\/pages\/3047","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thunderofwade.com\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/thunderofwade.com\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/thunderofwade.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/thunderofwade.com\/blog\/wp-json\/wp\/v2\/comments?post=3047"}],"version-history":[{"count":3,"href":"https:\/\/thunderofwade.com\/blog\/wp-json\/wp\/v2\/pages\/3047\/revisions"}],"predecessor-version":[{"id":3060,"href":"https:\/\/thunderofwade.com\/blog\/wp-json\/wp\/v2\/pages\/3047\/revisions\/3060"}],"wp:attachment":[{"href":"https:\/\/thunderofwade.com\/blog\/wp-json\/wp\/v2\/media?parent=3047"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}