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" ], "output": "htmltotext.txt", "pwd": "/data/archive/1743133092.765762", "schema": "ArchiveResult", "start_ts": "2025-03-28T03:39:02.438781+00:00", "status": "succeeded" } ], "media": [ { "cmd": [ "/usr/local/bin/yt-dlp", "--restrict-filenames", "--trim-filenames", "128", "--write-description", "--write-info-json", "--write-annotations", "--write-thumbnail", "--no-call-home", "--write-sub", "--write-auto-subs", "--convert-subs=srt", "--yes-playlist", "--continue", "--no-abort-on-error", "--ignore-errors", "--geo-bypass", "--add-metadata", "--format=(bv*+ba/b)[filesize<=750m][filesize_approx<=?750m]/(bv*+ba/b)", "--skip-download", "--cache-dir=/data/yt-dlp-cache/", "--cookies=/data/yt-dlp-cache/cookies.txt", "--proxy=socks5://tor-socks-proxy:9150", "--no-playlist", "https://www.reddit.com/r/videos/comments/1hxzdp1/how_many_sides_does_a_banana_have/" ], "cmd_version": "2024.10.7", "end_ts": "2025-03-28T03:39:20.082250+00:00", "index_texts": [ "Two: the inside and the outside (badum tshh)! But taking a more scientific approach, do bananas actually have 5 sides like all the pub quizzes say?\n\nMe:\nWebsite: https://sallylepage.co.uk\nTwitter: https://twitter.com/sallylepage\nInstagram: https://instagram.com/sallylepage\nFacebook: https://facebook.com/sallylepage\nReddit: https://reddit.com/r/sallylepage\n\nDonate:\nPatreon: https://patreon.com/sallylepage (monthly donations)\nPayPal: https://paypal.me/sallylepage (one off donations)\nAmazon UK: https://amzn.to/2DrD6v7 (affiliate link)\nAmazon USA: https://amzn.to/2WRatQY (affiliate link)\n\nDr Sally Le Page is a British evolutionary biologist and science YouTuber. The aim of these videos is to bring science further into popular culture by making science videos that make you laugh, make you feel and make you think.\n\nReferences:\nFahn (1953) The Origin Of the Banana Inflorescence\nhttps://www.jstor.org/stable/4115516\nInteractive Voronoi Diagram Generator:\nhttp://alexbeutel.com/webgl/voronoi.html\n\nBoth included with permission from the copyright holders.", "1\n00:00:00,030 --> 00:00:03,689\nI received an email the other day completely out of the blue from a guy called Edward\n\n2\n00:00:03,689 --> 00:00:04,080\nwho\n\n3\n00:00:04,080 --> 00:00:05,529\nsaid he was in a pub quiz.\n\n4\n00:00:05,529 --> 00:00:11,579\nOne of the questions was how many sides does a banana have, and although he got the answer wrong the answer was five and\n\n5\n00:00:11,679 --> 00:00:14,489\nSo he did some more research on bananas and found that bananas\n\n6\n00:00:14,490 --> 00:00:17,760\nhave three parts to the inside the fruit, so his question to me, was\n\n7\n00:00:18,220 --> 00:00:21,270\nhow does the five on the outside line up with the three on the inside\n\n8\n00:00:22,060 --> 00:00:27,480\nbut that got me thinking - so this is a normal banana, it's a Cavendish banana, that's the variety - all\n\n9\n00:00:27,730 --> 00:00:34,590\nCavendish bananas are clones of each other which means they're genetically identical. I mean a banana doesn't have seeds in it so it can't exactly\n\n10\n00:00:34,780 --> 00:00:39,840\nreproduce sexually. So if you were to push right down the center of\n\n11\n00:00:40,420 --> 00:00:42,340\nthe banana\n\n12\n00:00:42,340 --> 00:00:44,340\nyou will notice that\n\n13\n00:00:44,800 --> 00:00:48,779\nit splits really easily into three parts and\n\n14\n00:00:50,079 --> 00:00:52,319\nthat is because the flower\n\n15\n00:00:52,930 --> 00:00:59,819\nThe ovary of the flower had three parts to it three locules the name for like the hole in the ovary and so the fruit develops\n\n16\n00:00:59,820 --> 00:01:03,449\nin three and because the banana is centered around\n\n17\n00:01:03,699 --> 00:01:04,960\nthe number three\n\n18\n00:01:04,960 --> 00:01:10,380\nThat's why it's a bit odd that you get five sides on the outside of banana because you would expect it to be a multiple\n\n19\n00:01:10,380 --> 00:01:15,500\nof three, you'd expect there to be say six sides to a banana. So what do I mean by the sides of a banana?\n\n20\n00:01:15,740 --> 00:01:17,460\nwell if you take a banana\n\n21\n00:01:17,470 --> 00:01:21,479\npreferably one that's not too ripe because it gets less noticeable the riper the banana is\n\n22\n00:01:21,549 --> 00:01:24,959\nyou'll see that there are ridges that run all the way from the stem\n\n23\n00:01:25,150 --> 00:01:31,889\nto the flower scar and remember that bananas normally grow this way up and you can...if I was to draw on these ridges\n\n24\n00:01:32,259 --> 00:01:37,529\nyou'll be able to see them more clearly so this one has one, two,\n\n25\n00:01:41,259 --> 00:01:43,259\nthree,\n\n26\n00:01:43,329 --> 00:01:45,329\nfour,\n\n27\n00:01:45,909 --> 00:01:52,379\nfive, so this has five ridges and therefore five sides so this banana has five sides but\n\n28\n00:01:52,840 --> 00:01:58,500\nDo all bananas have five sides? So like any good scientist I went and collected more data\n\n29\n00:01:58,689 --> 00:02:01,559\nI actually stood by the banana section in multiple\n\n30\n00:02:01,780 --> 00:02:08,910\nsupermarkets going around going one two three four five, one two three...most of them had five sides and then I found one banana\n\n31\n00:02:09,129 --> 00:02:11,129\nhad four sides - ahh\n\n32\n00:02:11,319 --> 00:02:15,669\nand that means that five sides is not universal. It only takes one\n\n33\n00:02:16,730 --> 00:02:20,379\nfour-sided banana to prove that not all bananas have five sides\n\n34\n00:02:20,719 --> 00:02:27,039\nBut I wanted to know okay well what is the average number of sides of a banana and so I needed\n\n35\n00:02:27,500 --> 00:02:31,959\nyet more data I needed an even bigger sample size and\n\n36\n00:02:32,540 --> 00:02:34,840\nSo I went ahead and bought\n\n37\n00:02:35,269 --> 00:02:40,959\n280 bananas now counting 280 bananas was not only gonna take me quite a lot of time but then\n\n38\n00:02:41,299 --> 00:02:42,920\nI'd be stuck with\n\n39\n00:02:42,920 --> 00:02:46,119\n280 bananas so luckily last week I was\n\n40\n00:02:46,250 --> 00:02:49,989\ninvited to perform at the stand up show for a Festival of the Spoken Nerd\n\n41\n00:02:50,060 --> 00:02:53,859\nyou probably know Matt Parker and Steve Mould, Helen Arney from YouTube and\n\n42\n00:02:54,590 --> 00:02:55,939\nso\n\n43\n00:02:55,940 --> 00:03:01,320\nwhat's a girl gonna do with 280 bananas but have a bit of an Oprah moment\n\n44\n00:03:02,620 --> 00:03:05,760\n[laughter]\n\n45\n00:03:07,260 --> 00:03:09,200\nIf you think that's good...\n\n46\n00:03:09,200 --> 00:03:10,860\nWell, get ready to catch, everyone!\n\n47\n00:03:10,860 --> 00:03:14,000\nYOU get a banana! And YOU get a banana!\n\n48\n00:03:14,000 --> 00:03:16,000\nAnd YOU get a banana!\n\n49\n00:03:16,000 --> 00:03:18,980\nAnd everybody gets bananas!\n\n50\n00:03:18,980 --> 00:03:20,980\nAnd you get a banana!\n\n51\n00:03:20,980 --> 00:03:22,980\nAnd you get a banana!\n\n52\n00:03:22,980 --> 00:03:24,860\nEverybody gets bananas!\n\n53\n00:03:24,860 --> 00:03:31,700\nAfter that mayhem I managed to get 175 bananas counted. That's a great sample size, it's really large and\n\n54\n00:03:33,169 --> 00:03:38,799\nbefore I looked at the data in fact before I even bought that many bananas I wanted to\n\n55\n00:03:39,470 --> 00:03:44,349\nhypothesize why so many bananas have 5 sides but some of them only have 4 sides\n\n56\n00:03:44,659 --> 00:03:48,608\nSo I looked to the biology of the banana. \n Bananas,\n\n57\n00:03:48,979 --> 00:03:56,889\nunsurprisingly, grow on banana trees although more surprisingly banana trees aren't actually trees they're herbs but moving on\n\n58\n00:03:57,109 --> 00:04:03,279\nBananas grow in hands, the whole bunch of them is a hand and you'll get about 10 to 20\n\n59\n00:04:03,680 --> 00:04:06,909\nCavendish bananas in a hand and I was looking at these pictures\n\n60\n00:04:07,819 --> 00:04:09,819\nand I spotted that\n\n61\n00:04:10,009 --> 00:04:15,069\nbananas always grow in two rows and with all these bananas growing together\n\n62\n00:04:15,229 --> 00:04:21,309\nI looked at where the sides actually are within the hand and I noticed that\n\n63\n00:04:21,650 --> 00:04:26,320\nnormally you'd get one of these ridges where two bananas were touching each other and\n\n64\n00:04:26,900 --> 00:04:31,630\nwhere there was a gap next to a banana you tend to get just one edge rather than lots of\n\n65\n00:04:32,150 --> 00:04:33,500\nridges and\n\n66\n00:04:33,500 --> 00:04:37,690\nthis made me wonder well maybe it's the number of neighbors that\n\n67\n00:04:38,030 --> 00:04:42,759\ninfluences how many sides the banana has so I looked at all the scientific literature hoping to find something on\n\n68\n00:04:43,070 --> 00:04:45,999\nhow all the bananas squished together is there\n\n69\n00:04:46,580 --> 00:04:51,910\ndo they always have the same number of neighbors and I found this paper published by Kew Gardens in\n\n70\n00:04:52,520 --> 00:04:54,579\n1953 called the origin of the banana\n\n71\n00:04:55,280 --> 00:05:02,289\ninflorescence and what's great like I mentioned before is that all bananas are genetically identical so they all should have very very similar\n\n72\n00:05:03,259 --> 00:05:09,639\npatterns of where the bananas grow within the inflorescence and I found this figure figure one\n\n73\n00:05:10,070 --> 00:05:17,679\nwhich someone has looked at the flower buds developing and shown how they grow and just like in the pictures of the\n\n74\n00:05:18,139 --> 00:05:24,008\nadult bananas you can see that it forms two rows and that these flowers form a zig-zag pattern\n\n75\n00:05:24,500 --> 00:05:25,789\nthere's a field of maths\n\n76\n00:05:25,789 --> 00:05:33,399\nthat actually looks at if you've got things growing from a point and you've got neighbors next to each other you can get a\n\n77\n00:05:33,470 --> 00:05:36,940\nboundary where those two neighbors touch and it's Voronoi tessellation\n\n78\n00:05:37,340 --> 00:05:45,190\nthat gives you Voronoi patterns you see it all over nature and combining the Voronoi idea with this figure and\n\n79\n00:05:45,440 --> 00:05:50,769\na very handy website that had been made by a guy called Alex Beutel which allows you to draw your own\n\n80\n00:05:50,960 --> 00:05:57,970\nVoronoi patterns and put the starting points in I was able to replicate figure one as if it was a Voronoi diagram and\n\n81\n00:05:58,699 --> 00:06:00,289\nthis one has\n\n82\n00:06:00,289 --> 00:06:05,439\n16 bananas in the hand that's pretty average for a Cavendish banana and if we count them\n\n83\n00:06:06,050 --> 00:06:09,699\ntwelve out of the sixteen, three quarters of the bananas\n\n84\n00:06:10,370 --> 00:06:16,299\nshould have five sides because they've got four neighbours and then the ones on the very ends of the bunch\n\n85\n00:06:16,669 --> 00:06:20,799\nhave got either four or three sides and this means if my\n\n86\n00:06:21,470 --> 00:06:26,139\nneighbors hypothesis my Voronoi hypothesis is correct I would expect to see\n\n87\n00:06:26,389 --> 00:06:32,019\nthree quarters of bananas having five sides and the other quarter having either three or\n\n88\n00:06:32,300 --> 00:06:36,340\nfour sides and that would give me a mean number of sides of\n\n89\n00:06:37,010 --> 00:06:41,799\n4.625. Now I've got a hypothesis I can look at the data\n\n90\n00:06:42,500 --> 00:06:46,419\nthe 175 bananas that the audience of the comedy club counted for me I\n\n91\n00:06:47,120 --> 00:06:50,169\ngenuinely did not know how this was going to go\n\n92\n00:06:50,930 --> 00:06:52,930\nbut it looks like\n\n93\n00:06:53,480 --> 00:06:55,480\nthis\n\n94\n00:06:57,400 --> 00:07:01,100\nI could not believe how similar these graphs looked!\n\n95\n00:07:01,940 --> 00:07:03,080\nseriously, I,\n\n96\n00:07:03,080 --> 00:07:04,250\nit could have been any\n\n97\n00:07:04,250 --> 00:07:07,059\ndistribution, it could have been normal, it could have been literally they were only\n\n98\n00:07:07,130 --> 00:07:14,439\nfive and then tiny number of four side if enough, but look how similar they look! That's insane, especially because I'd not seen\n\n99\n00:07:14,720 --> 00:07:16,430\nanything about\n\n100\n00:07:16,430 --> 00:07:22,600\ntessellations or Voronoi patterns being used to explain the number of sides of a banana in fact I couldn't find anything explaining the number of sides\n\n101\n00:07:22,600 --> 00:07:24,600\nof a banana but still\n\n102\n00:07:25,280 --> 00:07:27,020\nI'd come up with this\n\n103\n00:07:27,020 --> 00:07:33,070\nhypothesis and it looks so similar obviously got to do some statistics on this can't just eyeball it as much as I would want to and\n\n104\n00:07:33,320 --> 00:07:37,839\nbecause I got a large sample size it doesn't matter that these aren't normally distributed I can still do a\n\n105\n00:07:37,910 --> 00:07:40,689\nt-test on the means on the averages and\n\n106\n00:07:41,510 --> 00:07:45,279\nit turns out that we get a non significant result which\n\n107\n00:07:45,919 --> 00:07:52,269\nnormally you'd be a bit miffed as a scientist to see a non significant result but this test is\n\n108\n00:07:52,640 --> 00:08:00,380\ntesting are these two means different and so non significant means it's not able to\n\n109\n00:08:00,780 --> 00:08:03,640\ndisprove that the means are the same\n\n110\n00:08:04,280 --> 00:08:11,470\nwhich basically means that the means are the same which means that my two means, my predicted mean and the actual\n\n111\n00:08:11,470 --> 00:08:13,470\nmean are the same\n\n112\n00:08:13,490 --> 00:08:14,120\nwhich is\n\n113\n00:08:14,120 --> 00:08:20,739\namazing I will say that if you look at the overall distribution not just means and do either a chi-squared test which you can't really\n\n114\n00:08:20,740 --> 00:08:22,900\ndo because the expected values of zero or\n\n115\n00:08:22,970 --> 00:08:27,880\nIf you do a Fisher's exact test then you don't get the distributions coming out as exactly the same\n\n116\n00:08:28,130 --> 00:08:31,989\nbut given this is biology and biology is really messy I'm\n\n117\n00:08:32,510 --> 00:08:37,119\npretty impressed with this hypothesis as explained going a long way to\n\n118\n00:08:37,370 --> 00:08:44,289\nexplain the number of sides that a banana has and that means that the answer to how many sides does a banana have is\n\n119\n00:08:45,140 --> 00:08:46,280\nactually\n\n120\n00:08:46,280 --> 00:08:48,639\n4.625\n\n121\n00:08:49,160 --> 00:08:51,520\nsides which Matt Parker did point out is\n\n122\n00:08:51,880 --> 00:08:55,149\nfive sides when rounded to the nearest whole number of sides\n\n123\n00:08:55,250 --> 00:09:01,149\nBut that's not the point it means you can't just say that or bananas have five sides in the same way that the average\n\n124\n00:09:01,490 --> 00:09:04,870\nperson has less than two legs because of the number of\n\n125\n00:09:05,540 --> 00:09:06,430\none-legged or\n\n126\n00:09:06,430 --> 00:09:06,730\nno\n\n127\n00:09:06,730 --> 00:09:10,510\nlegged people it brings down the averages averages are allowed to have\n\n128\n00:09:10,850 --> 00:09:13,750\nnon integer values we're allowed to have a\n\n129\n00:09:13,910 --> 00:09:19,510\nfractional number of sides of a banana and actually someone at the comedy club came up to me afterwards from the audience and\n\n130\n00:09:19,610 --> 00:09:25,659\nbrought me this banana which at one end has four edges and at the other end\n\n131\n00:09:25,850 --> 00:09:33,430\nhas five edges and therefore is a 4.625 sided banana which I thought was great I\n\n132\n00:09:33,769 --> 00:09:37,119\nHope you enjoyed this video it's been a long time since\n\n133\n00:09:37,120 --> 00:09:40,449\nI've made one but I am now back you can expect to see\n\n134\n00:09:40,610 --> 00:09:47,380\nmany more science videos from me in your sub feed this is now my full-time job so if you or a company wants to pay\n\n135\n00:09:47,510 --> 00:09:54,369\nthis newly qualified Doctor of Science to make videos for you drop me a link on my email which is all on my website\n\n136\n00:09:54,680 --> 00:09:58,989\nThank you very much and see you next time which actually might not be that long" ], "output": "ArchiveError: Failed to save media", "pwd": "/data/archive/1743133092.765762", "schema": "ArchiveResult", "start_ts": "2025-03-28T03:39:06.275513+00:00", "status": "failed" } ], "mercury": [ { "cmd": [ "/home/archivebox/.npm/bin/postlight-parser", "--format=text", "https://www.reddit.com/r/videos/comments/1hxzdp1/how_many_sides_does_a_banana_have/" ], "cmd_version": "2.2.3", "end_ts": "2025-03-28T03:39:02.285522+00:00", "index_texts": null, "output": "ArchiveError: Mercury was not able to get article text from the URL", "pwd": "/data/archive/1743133092.765762", "schema": "ArchiveResult", "start_ts": "2025-03-28T03:39:00.242837+00:00", "status": "failed" } ], "pdf": [], "readability": [ { "cmd": [ "/home/archivebox/.npm/bin/readability-extractor", "/tmp/tmp8uqpyxkv", 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