{"id":465249,"date":"2022-06-19T14:11:35","date_gmt":"2022-06-19T11:11:35","guid":{"rendered":"https:\/\/en.buradabiliyorum.com\/how-to-map-the-globe-using-3-word-combinations-and-a-bit-of-math\/"},"modified":"2022-06-19T14:11:35","modified_gmt":"2022-06-19T11:11:35","slug":"how-to-map-the-globe-using-3-word-combinations-and-a-bit-of-math","status":"publish","type":"post","link":"https:\/\/buradabiliyorum.com\/en\/how-to-map-the-globe-using-3-word-combinations-and-a-bit-of-math\/","title":{"rendered":"#How to map the globe using 3-word combinations and a bit of math"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-6a38949b526cc\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #dd3333;color:#dd3333\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #dd3333;color:#dd3333\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-6a38949b526cc\" checked aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/buradabiliyorum.com\/en\/how-to-map-the-globe-using-3-word-combinations-and-a-bit-of-math\/#%E2%80%9CHow_to_map_the_globe_using_3-word_combinations_and_a_bit_of_math%E2%80%9D\" >&#8220;How to map the globe using 3-word combinations and a bit of math&#8221;<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/buradabiliyorum.com\/en\/how-to-map-the-globe-using-3-word-combinations-and-a-bit-of-math\/#Ordered_triples\" >Ordered triples<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/buradabiliyorum.com\/en\/how-to-map-the-globe-using-3-word-combinations-and-a-bit-of-math\/#Thank_you_for_joining\" >Thank you for joining!<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/buradabiliyorum.com\/en\/how-to-map-the-globe-using-3-word-combinations-and-a-bit-of-math\/#Passwords_you_can_actually_remember\" >Passwords you can actually remember<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"%E2%80%9CHow_to_map_the_globe_using_3-word_combinations_and_a_bit_of_math%E2%80%9D\"><\/span>&#8220;How to map the globe using 3-word combinations and a bit of math&#8221;<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<div id=\"article-main-content\">\n                            It\u2019s hard to imagine that three random words have the power to both map the globe and keep your private data secure. The secret behind this power is just a little bit of math.<\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/what3words.com\/\">What3words<\/a> is an <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/download-scripts-themes-apps\/\" data-internallinksmanager029f6b8e52c=\"9\" title=\"Download Scripts &amp; Themes &amp; Apps\" target=\"_blank\" rel=\"noopener\">app<\/a> and web-based service that provides a geographic reference for every 3-meter-by-3-meter square on Earth using three random words. If your brain operates more naturally in the English measurement system, 3 meters is about 9.8 feet. So, you could think of them as roughly 10-foot-by-10-foot squares, which is about the size of a small home office or bedroom. For example, there\u2019s a square in the middle of the Rochester Institute of <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/technology\/\" data-internallinksmanager029f6b8e52c=\"4\" title=\"Technology\" target=\"_blank\" rel=\"noopener\">Technology<\/a> Tigers Turf Field coded to <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/what3words.com\/brilliance.bronze.inputs\">brilliance.bronze.inputs<\/a>.<\/p>\n<p>This new approach to geocoding is useful for several reasons. First, it\u2019s <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/tech.eu\/2022\/05\/24\/german-media-pool-backs-what3words-with-eur80-million-media-volume-for-geolocation-solution\/\">more precise<\/a> than regular street addresses. Also, three words are easier for humans to remember and communicate to one another than, say, detailed latitude and longitude measurements. This makes the system well suited for <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.financialexpress.com\/healthcare\/healthtech\/medulance-uses-life-saving-addressing-technology-what3words-to-reduce-incident-response-times\/2532131\/\">emergency services<\/a>. Seeing these advantages, some car manufacturers are starting to <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.zdnet.com\/article\/subaru-is-latest-car-maker-to-use-what3words-for-in-car-navigation\/\">integrate what3words into their navigation systems<\/a>.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Ordered_triples\"><\/span>Ordered triples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"inarticle-wrapper channel-cta\">\n<div class=\"ica-text\">\n<h4><span class=\"ez-toc-section\" id=\"Thank_you_for_joining\"><\/span>Thank you for joining!<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Check out the highlights from TNW Conference 2022 \u2192<\/p>\n<\/div>\n<\/div>\n<p>Here\u2019s how three random words in English or any other language can identify such precise locations across the whole planet. The key concept is ordered <a href=\"https:\/\/buradabiliyorum.com\/en\/category\/trip-and-travel\/\" data-internallinksmanager029f6b8e52c=\"10\" title=\"Trip &amp; Travel\" target=\"_blank\" rel=\"noopener\">trip<\/a>les.<\/p>\n<p>Start with the basic assumption that the Earth is a sphere, recognizing that this is an <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/oceanservice.noaa.gov\/facts\/earth-round.html\">approximate truth<\/a>, and that its radius is <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/sciencing.com\/radius-earth-5895686.html\">approximately 3,959 miles<\/a> (6,371 kilometers). To compute the <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/youtu.be\/GNcFjFmqEc8\">surface area of the Earth<\/a>, use the formula 4\u03c0r<sup>2.<\/sup> With r = 3,959 (6,371), this works out to approximately 197 million square miles (510 million square kilometers). Remember: What3words is using 3-meter-by-3-meter squares, each of which contains 9 square meters of surface area. So, working in the metric system, Earth\u2019s surface area is equivalent to 510 trillion square meters. Dividing 9 into 510 trillion reveals that uniquely identifying each square requires around 57 trillion ordered triples of three random words.<\/p>\n<p>An ordered triple is just a list of three things in which the order matters. So \u201cbrilliance.bronze.inputs\u201d would be considered a different ordered triple than \u201cbronze.brilliance.inputs\u201d. In fact, in the what3words system, <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/what3words.com\/bronze.brilliance.inputs\">bronze.brilliance.inputs<\/a> is on a mountain in Alaska, not in the middle of the RIT Tigers Turf Field, like <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/what3words.com\/brilliance.bronze.inputs\">brilliance.bronze.inputs<\/a>.<\/p>\n<p>The next step is figuring out how many words there are in a language, and whether there are enough ordered triples to map the globe. Some scholars <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/englishlive.ef.com\/blog\/language-lab\/many-words-english-language\/\">estimate there are more a million English words<\/a>; however, many of them are very uncommon. But even using only common English words, there are still plenty to go around. You can find many <a rel=\"nofollow noopener\" target=\"_blank\" href=\"http:\/\/www.mieliestronk.com\/wordlist.html\">word lists<\/a> online.<\/p>\n<p>The developers at what3words came up with a list of 40,000 English words. (The what3words system works in <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/50-languages.what3words.com\">50 different languages<\/a> with independently assigned words.) The next question is determining how many ordered triples of three random words can be made from a list of 40,000 words. If you allow repeats, as what3words does, there would be 40,000 possibilities for the first word, 40,000 possibilities for the second word, and 40,000 possibilities for the third word. The number of possible ordered triples would then be 40,000 times 40,000 times 40,000, which is 64 trillion. That provides plenty of \u201cthree random word\u201d triples to cover the globe. The excess combinations also allow what3words to eliminate offensive words and words that would be easily confused for one another.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Passwords_you_can_actually_remember\"><\/span>Passwords you can actually remember<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>While the power of three random words is being used to map the Earth, the <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.ncsc.gov.uk\/collection\/top-tips-for-staying-secure-online\/three-random-words\">U.K. National Cyber Security Centre (NCSC)<\/a> is also advocating their use as passwords. Password selection and related security analysis are more complicated than attaching three words to small squares of the globe. But a similar calculation is illuminating. If you string together an ordered triple of words \u2013 such as brilliancebronzeinputs \u2013 you get a nice long password that a human should be able to remember far more easily than a random string of letters, numbers and special characters designed to meet a set of <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/pages.nist.gov\/800-63-3\/sp800-63b.html#appA\">complexity rules<\/a>.<\/p>\n<p>If you increase your word list beyond 40,000, you\u2019ll get even more possible passwords. Using the \u201c<a rel=\"nofollow noopener\" target=\"_blank\" href=\"http:\/\/www.mieliestronk.com\/wordlist.html\">Corncob list<\/a>\u201d of 58,000 English words, you could generate more than 195 trillion \u201cthree random word\u201d-style passwords.<\/p>\n<p>It\u2019s important to note that there are a <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.ncsc.gov.uk\/blog-post\/the-logic-behind-three-random-words\">fair number of trade-offs<\/a> among the different approaches to <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/www.ncsc.gov.uk\/blog-post\/three-random-words-or-thinkrandom-0\">password selection and complexity rules<\/a>. So, while \u201cthree random words\u201d doesn\u2019t give you a fail-safe for password security, the complexity of language does provide some amazing power in this realm as well.<!-- Below is The Conversation's page counter tag. Please DO NOT REMOVE. --><img decoding=\"async\" loading=\"lazy\" style=\"border: none !important; box-shadow: none !important; margin: 0 !important; max-height: 1px !important; max-width: 1px !important; min-height: 1px !important; min-width: 1px !important; opacity: 0 !important; outline: none !important; padding: 0 !important;\" alt=\"The Conversation\" width=\"1\" height=\"1\" class=\"js-lazy\" src=\"https:\/\/counter.theconversation.com\/content\/181775\/count.gif?distributor=republish-lightbox-basic\"\/><!-- End of code. If you don't see any code above, please get new code from the Advanced tab after you click the republish button. The page counter does not collect any personal data. More info: https:\/\/theconversation.com\/republishing-guidelines --><\/p>\n<p><noscript><img decoding=\"async\" loading=\"lazy\" style=\"border: none !important; box-shadow: none !important; margin: 0 !important; max-height: 1px !important; max-width: 1px !important; min-height: 1px !important; min-width: 1px !important; opacity: 0 !important; outline: none !important; padding: 0 !important;\" src=\"https:\/\/counter.theconversation.com\/content\/181775\/count.gif?distributor=republish-lightbox-basic\" alt=\"The Conversation\" width=\"1\" height=\"1\" class=\"\" srcset=\"\"\/><\/noscript><\/p>\n<p><span><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/theconversation.com\/profiles\/mary-lynn-reed-1339732\">Mary Lynn Reed<\/a>, Professor of Mathematics, <em><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/theconversation.com\/institutions\/rochester-institute-of-technology-1379\">Rochester Institute of Technology<\/a><\/em><\/span><\/p>\n<p>This article is republished from <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/theconversation.com\">The Conversation<\/a> under a Creative Commons license. Read the <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/theconversation.com\/how-math-and-language-can-combine-to-map-the-globe-and-create-strong-passwords-using-the-power-of-3-random-words-181775\">original article<\/a>.\n                        <\/div>\n<blockquote><p><strong><span style=\"color: #ff6600;\">If you liked the article, do not forget to share it with your friends. 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The secret behind this power is just a little bit of math. What3words is an app and web-based service that&#8230;<\/p>\n","protected":false},"author":1,"featured_media":465250,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img-cdn.tnwcdn.com\/image\/tnw?filter_last=1&fit=1280,640&url=https:\/\/cdn0.tnwcdn.com\/wp-content\/blogs.dir\/1\/files\/2022\/06\/what3wordshed.jpg&signature=60d16255c3cd4078d8e7f756916e3020","fifu_image_alt":"","footnotes":""},"categories":[18],"tags":[],"class_list":["post-465249","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-technology"],"_links":{"self":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/posts\/465249","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/comments?post=465249"}],"version-history":[{"count":0,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/posts\/465249\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/media\/465250"}],"wp:attachment":[{"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/media?parent=465249"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/categories?post=465249"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/buradabiliyorum.com\/en\/wp-json\/wp\/v2\/tags?post=465249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}