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; } /* Breakpoints */ @media only screen and (max-width: 640px) { .jp-related-posts-i2__list { display: block; } .jp-related-posts-i2__post { margin-bottom: 2rem; } } /* Container */ #jp-relatedposts { display: none; padding-top: 1em; margin: 1em 0; position: relative; clear: both; } .jp-relatedposts:after { content: ''; display: block; clear: both; } /* Headline above related posts section, labeled "Related" */ #jp-relatedposts h3.jp-relatedposts-headline { margin: 0 0 1em 0; display: inline-block; float: left; font-size: 9pt; font-weight: bold; font-family: inherit; } #jp-relatedposts h3.jp-relatedposts-headline em:before { content: ""; display: block; width: 100%; min-width: 30px; border-top: 1px solid #dcdcde; border-top: 1px solid rgba(0,0,0,.2); margin-bottom: 1em; } #jp-relatedposts h3.jp-relatedposts-headline em { font-style: normal; font-weight: bold; } /* Related posts items (wrapping items) */ #jp-relatedposts .jp-relatedposts-items { clear: left; } #jp-relatedposts .jp-relatedposts-items-visual { margin-right: -20px; } /* Related posts item */ #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post { float: left; width: 33%; margin: 0 0 1em; /* Needs to be same as the main outer wrapper for Related Posts */ box-sizing: border-box; -moz-box-sizing: border-box; -webkit-box-sizing: border-box; } #jp-relatedposts .jp-relatedposts-items-visual .jp-relatedposts-post { padding-right: 20px; filter: alpha(opacity=80); -moz-opacity: .8; opacity: .8; } #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post:nth-child(3n+4), #jp-relatedposts .jp-relatedposts-items-visual .jp-relatedposts-post:nth-child(3n+4) { clear: both; } #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post:hover .jp-relatedposts-post-title a { text-decoration: underline; } #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post:hover { filter: alpha(opacity=100); -moz-opacity: 1; opacity: 1; } /* Related posts item content */ #jp-relatedposts .jp-relatedposts-items-visual h4.jp-relatedposts-post-title, #jp-relatedposts .jp-relatedposts-items p, #jp-relatedposts .jp-relatedposts-items time { font-size: 14px; line-height: 20px; margin: 0; } #jp-relatedposts .jp-relatedposts-items-visual .jp-relatedposts-post-nothumbs { position:relative; } #jp-relatedposts .jp-relatedposts-items-visual .jp-relatedposts-post-nothumbs a.jp-relatedposts-post-aoverlay { position:absolute; top:0; bottom:0; left:0; right:0; display:block; border-bottom: 0; } #jp-relatedposts .jp-relatedposts-items p, #jp-relatedposts .jp-relatedposts-items time { margin-bottom: 0; } #jp-relatedposts .jp-relatedposts-items-visual h4.jp-relatedposts-post-title { text-transform: none; margin: 0; font-family: inherit; display: block; max-width: 100%; } #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post .jp-relatedposts-post-title a { font-size: inherit; font-weight: normal; text-decoration: none; filter: alpha(opacity=100); -moz-opacity: 1; opacity: 1; } #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post .jp-relatedposts-post-title a:hover { text-decoration: underline; } #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post img.jp-relatedposts-post-img, #jp-relatedposts .jp-relatedposts-items .jp-relatedposts-post span { display: block; 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; max-width: 100%; margin-right: 0; } } /* * Hide the related post section in the print view of a post */ @media print { .jp-relatedposts { display:none ; } } .amp-logo amp-img{width:371px} .amp-menu input{display:none;}.amp-menu li.menu-item-has-children ul{display:none;}.amp-menu li{position:relative;display:block;}.amp-menu > li a{display:block;} /* Inline styles */ em.acssd9369{color:#404040;font-family:-apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen-Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans-serif;}div.acss138d7{clear:both;}div.acss0dcba{--relposth-columns:3;--relposth-columns_m:3;--relposth-columns_t:3;}div.acss935ec{aspect-ratio:16/9;background:transparent url(https://i0.wp.com/jerz.setonhill.edu/wp-content/uploads/2023/10/mla-citations.png?resize=150%2C150&ssl=1) no-repeat scroll 0% 0%;height:150px;max-width:150px;}div.acss020fa{color:#333333;font-family:Arial Narrow;font-size:11px;height:45px;}div.acssd8696{aspect-ratio:16/9;background:transparent url(https://i0.wp.com/jerz.setonhill.edu/wp-content/uploads/2025/03/Screenshot-2025-03-08-at-11.16.32%E2%80%AFPM.png?resize=150%2C150&ssl=1) no-repeat scroll 0% 0%;height:150px;max-width:150px;}div.acsseb4eb{aspect-ratio:16/9;background:transparent url(https://i0.wp.com/jerz.setonhill.edu/wp-content/uploads/2025/03/stapler-jam.jpg?resize=150%2C150&ssl=1) no-repeat scroll 0% 0%;height:150px;max-width:150px;}div.acss2a0fc{aspect-ratio:16/9;background:transparent url(https://i0.wp.com/jerz.setonhill.edu/wp-content/uploads/2025/02/Screenshot-2025-02-20-at-12.21.13%E2%80%AFPM.png?resize=150%2C150&ssl=1) no-repeat scroll 0% 0%;height:150px;max-width:150px;}div.acss12a58{aspect-ratio:16/9;background:transparent url(https://i0.wp.com/jerz.setonhill.edu/wp-content/uploads/2025/02/Screenshot-2025-02-16-at-11.51.31%E2%80%AFAM-600x537-1.png?resize=150%2C150&ssl=1) no-repeat scroll 0% 0%;height:150px;max-width:150px;}div.acssa103a{aspect-ratio:16/9;background:transparent url(https://i0.wp.com/jerz.setonhill.edu/wp-content/uploads/2025/02/Screenshot-2025-02-05-at-1.14.22%E2%80%AFPM.png?resize=150%2C150&ssl=1) no-repeat scroll 0% 0%;height:150px;max-width:150px;} .icon-widgets:before {content: "\e1bd";}.icon-search:before {content: "\e8b6";}.icon-shopping-cart:after {content: "\e8cc";}
Categories: AcademiaAwesomeDesignJournalismNatureScience

Fun with Geometry — Biological and Theoretical

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. 

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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Published by
Dennis G. Jerz
Tags: math
2 years ago

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