amp-web-push-widget button.amp-subscribe { display: inline-flex; align-items: center; border-radius: 5px; border: 0; box-sizing: border-box; margin: 0; padding: 10px 15px; cursor: pointer; outline: none; font-size: 15px; font-weight: 500; background: #4A90E2; margin-top: 7px; color: white; box-shadow: 0 1px 1px 0 rgba(0, 0, 0, 0.5); -webkit-tap-highlight-color: rgba(0, 0, 0, 0); } /** * Jetpack related posts */ /** * The Gutenberg block */ .jp-related-posts-i2 { margin-top: 1.5rem; } .jp-related-posts-i2__list { --hgap: 1rem; display: flex; flex-wrap: wrap; column-gap: var(--hgap); row-gap: 2rem; margin: 0; padding: 0; list-style-type: none; } .jp-related-posts-i2__post { display: flex; flex-direction: column; /* Default: 2 items by row */ flex-basis: calc( ( 100% - var(--hgap) ) / 2 ); } /* Quantity qeuries: see https://alistapart.com/article/quantity-queries-for-css/ */ .jp-related-posts-i2__post:nth-last-child(n+3):first-child, .jp-related-posts-i2__post:nth-last-child(n+3):first-child ~ * { /* From 3 total items on, 3 items by row */ flex-basis: calc( ( 100% - var(--hgap) * 2 ) / 3 ); } .jp-related-posts-i2__post:nth-last-child(4):first-child, .jp-related-posts-i2__post:nth-last-child(4):first-child ~ * { /* Exception for 4 total items: 2 items by row */ flex-basis: calc( ( 100% - var(--hgap) ) / 2 ); } .jp-related-posts-i2__post-link { display: flex; flex-direction: column; row-gap: 0.5rem; width: 100%; margin-bottom: 1rem; line-height: 1.2; } .jp-related-posts-i2__post-link:focus-visible { outline-offset: 2px; } .jp-related-posts-i2__post-img { order: -1; max-width: 100%; } .jp-related-posts-i2__post-defs { margin: 0; list-style-type: unset; } /* Hide, except from screen readers */ .jp-related-posts-i2__post-defs dt { position: absolute; width: 1px; height: 1px; overflow: hidden; clip: rect(1px, 1px, 1px, 1px); white-space: nowrap; } .jp-related-posts-i2__post-defs dd { margin: 0; } /* List view */ .jp-relatedposts-i2[data-layout="list"] .jp-related-posts-i2__list { display: block; } .jp-relatedposts-i2[data-layout="list"] .jp-related-posts-i2__post { margin-bottom: 2rem; 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max-width: 90%; overflow: hidden; text-overflow: ellipsis; } #jp-relatedposts .jp-relatedposts-items-visual .jp-relatedposts-post img.jp-relatedposts-post-img, #jp-relatedposts .jp-relatedposts-items-visual .jp-relatedposts-post span { height: auto; max-width: 100%; } #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post .jp-relatedposts-post-date, #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post .jp-relatedposts-post-context { opacity: .6; } /* Hide the date by default, but leave the element there if a theme wants to use css to make it visible. */ .jp-relatedposts-items .jp-relatedposts-post .jp-relatedposts-post-date { display: none; } /* Behavior when there are thumbnails in visual mode */ #jp-relatedposts .jp-relatedposts-items-visual div.jp-relatedposts-post-thumbs p.jp-relatedposts-post-excerpt { display: none; } /* Behavior when there are no thumbnails in visual mode */ #jp-relatedposts .jp-relatedposts-items-visual .jp-relatedposts-post-nothumbs p.jp-relatedposts-post-excerpt { overflow: hidden; } #jp-relatedposts .jp-relatedposts-items-visual .jp-relatedposts-post-nothumbs span { margin-bottom: 1em; } /* List Layout */ #jp-relatedposts .jp-relatedposts-list .jp-relatedposts-post { clear: both; width: 100%; } #jp-relatedposts .jp-relatedposts-list .jp-relatedposts-post img.jp-relatedposts-post-img { float: left; overflow: hidden; max-width: 33%; margin-right: 3%; } #jp-relatedposts .jp-relatedposts-list h4.jp-relatedposts-post-title { display: inline-block; max-width: 63%; } /* * Responsive */ @media only screen and (max-width: 640px) { #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post { width: 50%; } #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post:nth-child(3n) { clear: left; } #jp-relatedposts .jp-relatedposts-items-visual { margin-right: 20px; } } @media only screen and (max-width: 320px) { #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post { width: 100%; clear: both; margin: 0 0 1em; } #jp-relatedposts .jp-relatedposts-list .jp-relatedposts-post img.jp-relatedposts-post-img, #jp-relatedposts .jp-relatedposts-list h4.jp-relatedposts-post-title { float: none; 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Categories: AcademiaAwesomeDesignJournalismNatureScience

Fun with Geometry — Biological and Theoretical

A computer animation showing scutiods, complex 3D geometrical shapes (like an irregular prism with a hexagon on one end and a pentagon on the other, with the sides broken up in such a way as to create several irregular polygons, some planar and some non-planar, that let two identical scutoids fit together in multiple different ways.A computer animation showing scutiods, complex 3D geometrical shapes (like an irregular prism with a hexagon on one end and a pentagon on the other, with the sides broken up in such a way as to create several irregular polygons, some planar and some non-planar, that let two identical scutoids fit together in multiple different ways.

For some reason today I was thinking of the 3D shape scientists recently discovered in our cells — I had to look it up just now to refresh my memory. Not being an expert in geometry, I would describe the “scutoid” as an irregular prism-like shape with a hexagon on one end and a pentagon on the other, with the sides broken up in a specific way that allows the shapes to be packed together. 

A computer animation showing scutiods, complex 3D geometrical shapes (like an irregular prism with a hexagon on one end and a pentagon on the other, with the sides broken up in such a way as to create several irregular polygons, some planar and some non-planar, that let two identical scutoids fit together in multiple different ways.

I confess I’m not entirely clear on whether these biological building blocks grow that way, or they take on that shape based on the way they are packed together.

I’m 1/6 of the way through a compressed American Literature course, and while I enjoy it immensely, I appreciate giving the textual / analytical / qualitative part of my brain a break as I exercise the spatial / kinesthetic / quantitative part of my brain something new to think about, such as “Penrose tiling” (below).

Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. But they were wrong. — Magazine

Check out the amazing correction posted to the above page. (I have a very basic unit on math in my intro to journalism course, and I also have a unit on corrections; I’m posting this so I can find it again:

 

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Dennis G. Jerz
Tags: math
2 years ago

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