{"id":62106,"date":"2026-04-05T05:28:07","date_gmt":"2026-04-04T20:28:07","guid":{"rendered":"https:\/\/phys-edu.net\/wp\/?p=62106"},"modified":"2026-04-05T05:28:07","modified_gmt":"2026-04-04T20:28:07","slug":"the-moment-play-turns-into-learning-the-magic-of-math-hidden-in-spirograph-patterns-desmos-programming","status":"publish","type":"post","link":"https:\/\/phys-edu.net\/wp\/?p=62106&lang=en","title":{"rendered":"The Moment Play Turns into Learning! The \u201cMagic of Math\u201d Hidden in Spirograph Patterns (Desmos Programming)"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #339966;\"><strong>Hi, I\u2019m Ken Kuwako, your Science Trainer. Life is one big experiment!<\/strong><\/span><\/p>\n<p>Do you remember playing with a &#8220;Design Ruler&#8221; when you were a kid? It\u2019s that magical toy where you place a pen inside a small plastic gear and spin it around to create intricate, mesmerizing geometric patterns.<\/p>\n<p>As it turns out, hidden behind those delicate, web-like designs is a world of mathematics so profound it actually connects to the laws of the universe. Today, I want to share a story about how one of my science club students turned a childhood pastime into a scientific discovery.<\/p>\n<h3>The Magic of Geometry: What Exactly is a Spirograph?<\/h3>\n<p>First off, are you familiar with the name &#8220;Spirograph&#8221;?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33825 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43.jpg\" alt=\"\" width=\"550\" height=\"388\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43.jpg 1120w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43-300x212.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43-768x542.jpg 768w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43-1024x722.jpg 1024w\" sizes=\"auto, (max-width: 550px) 100vw, 550px\" \/><\/p>\n<p>A Spirograph set consists of various gears with holes. You insert a pen into one of the holes and roll the gear along the inside or outside of a larger ring. While the motion is a simple repetition, the result is a sophisticated, kaleidoscope-like masterpiece. Check out this video to see the satisfying way these patterns come to life:<\/p>\n<p><iframe loading=\"lazy\" title=\"\u30bb\u30ea\u30a2\u306e\u304f\u308b\u304f\u308b\u5b9a\u898f\uff08\u30b9\u30d4\u30ed\u30b0\u30e9\u30d5\uff0945\u306e\u30c7\u30b6\u30a4\u30f3\u5168\u90e8\u304b\u3044\u3066\u307f\u305f\u3000#shorts\" width=\"563\" height=\"1000\" src=\"https:\/\/www.youtube.com\/embed\/qslHd0d8KAY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p style=\"text-align: left;\">In Japan, you can find these at 100-yen shops like Seria, or easily pick up a set on Amazon or other online retailers as a Design Ruler. <a href=\"https:\/\/amzn.to\/4mbYSrS\">If this sparks your curiosity, why not try it for yourself?<\/a><\/p>\n<p style=\"text-align: left;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-62104 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-05-5.11.18.jpeg\" alt=\"\" width=\"170\" height=\"347\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-05-5.11.18.jpeg 346w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-05-5.11.18-147x300.jpeg 147w\" sizes=\"auto, (max-width: 170px) 100vw, 170px\" \/><\/p>\n<h3>From Play to Equations: A Student\u2019s Challenge<\/h3>\n<p>A while back, a student in my science club became so obsessed with the Spirograph that just drawing wasn&#8217;t enough. He decided to reverse-engineer the math behind the patterns all on his own! He came to me and said, &#8220;Sir, if we use this formula, we can recreate the Spirograph on a computer!&#8221; Here is the documentation he put together. It\u2019s truly impressive to see a middle school student organize such complex ideas so clearly.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33820 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0753.png\" alt=\"\" width=\"462\" height=\"654\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0753.png 706w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0753-212x300.png 212w\" sizes=\"auto, (max-width: 462px) 100vw, 462px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33821 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0754.png\" alt=\"\" width=\"458\" height=\"649\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0754.png 706w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0754-212x300.png 212w\" sizes=\"auto, (max-width: 458px) 100vw, 458px\" \/><\/p>\n<p>In the world of mathematics, the paths traced by these gears are known as Hypotrochoids and Epitrochoids. What looks like a complex web is actually the result of overlapping simple circular rotations.<\/p>\n<h3>Geometry in Motion: Digital Art<\/h3>\n<p>Using the equations my student derived, we used the graphing tool &#8220;Desmos&#8221; to simulate the geometric patterns. Take a look:<\/p>\n<p><iframe loading=\"lazy\" title=\"\u4f1d\u8aac\u306e\u304a\u3082\u3061\u3083\uff01Desmos\u3067\u4f5c\u308b\u30b9\u30d4\u30ed\u30b0\u30e9\u30d5\u3010\u79d1\u5b66\u306e\u30cd\u30bf\u5e33\u3011\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/K6yTshOrZr8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>The fascinating part is how a tiny tweak to the numbers can dramatically change the shape and density of the pattern. <a href=\"https:\/\/www.desmos.com\/calculator\/cg0bywa2iz\">Click here to play with the simulation yourself.<\/a> Go ahead and find your own unique pattern! For those curious about the &#8220;engine&#8221; behind the art, the formula looks like this:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33819 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/f04af5ba1ccd0f0ac1dbc6edb9b2d003.jpg\" alt=\"\" width=\"368\" height=\"39\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/f04af5ba1ccd0f0ac1dbc6edb9b2d003.jpg 790w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/f04af5ba1ccd0f0ac1dbc6edb9b2d003-300x32.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/f04af5ba1ccd0f0ac1dbc6edb9b2d003-768x82.jpg 768w\" sizes=\"auto, (max-width: 368px) 100vw, 368px\" \/><\/p>\n<p>When you break down the movement, it\u2019s essentially one circular motion added to another circular motion spinning at a different speed. This is exactly why the formula uses sin and cos, which are staples of high school trigonometry.<\/p>\n<p>It was a beautiful moment: seeing a middle schooler\u2019s curiosity evolve into digital art through the universal language of math. Deep and elegant scientific seeds are hidden in our everyday play. When you look at the world through that lens, even a simple childhood toy starts to look like a masterpiece of engineering, doesn&#8217;t it?<\/p>\n<h3>Contact &#038; More Information<\/h3>\n<p>I\u2019m on a mission to make the wonders of science accessible to everyone! I share fun experiments you can try at home and tips for understanding the world around us. Feel free to explore more:<\/p>\n<p>My blog &#8220;Science Notes&#8221; is now a book! Details <a href=\"https:\/\/amzn.to\/42PMCEL\">here<\/a><\/p>\n<p>Learn more about Ken Kuwako <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=37\">here<\/a><\/p>\n<p>For inquiries regarding writing, speaking, science workshops, or TV consulting, please click <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">here<\/a><br \/>\n<span class=\"s2\">&#8211; Stay updated on <a href=\"https:\/\/x.com\/kuwako\">X (Twitter)<\/a>!<\/span><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.youtube.com\/user\/kkuwako\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-35048\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2020\/03\/3d9640dad7bc5538e76f92da1966ee19.jpg\" alt=\"\" width=\"30\" height=\"21\" \/><\/a> Check out my experiment videos on the <a href=\"https:\/\/www.youtube.com\/user\/kkuwako?sub_confirmation=1\">Science Notes Channel<\/a>!<\/p>\n<h3 style=\"text-align: left;\"><span style=\"font-size: medium;\"><b><strong>\u30c6\u30ec\u30d3\u756a\u7d44\u76e3\u4fee\u30fb\u30a4\u30d9\u30f3\u30c8\u7b49\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/span><\/h3>\r\n<ul>\r\n<li><a href=\"https:\/\/phys-edu.net\/wp\/?p=68740\">\u300c\u30cd\u30a4\u30c1\u30e3\u30fc\u30c6\u30a3\u30fc\u30c1\u30e3\u30fc\u300d\uff08TBS\uff09<\/a>\u306b\u51fa\u6f14\u3057\u307e\u3057\u305f\u3002Tver\u306b\u306611\u67083\u65e5\uff08\u706b\uff09\u307e\u3067\u914d\u4fe1\u4e2d\u3067\u3059\u3002<\/li>\r\n<\/ul>\r\n<p><img class=\"alignnone  wp-image-68951 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-10-28-4.27.06.jpeg\" alt=\"\" width=\"474\" height=\"266\" \/><\/p>\r\n<ul>\r\n<li><a href=\"https:\/\/www.mbs.jp\/saturday-plus\/\">\u30b5\u30bf\u30d7\u30e9\uff08MBS\uff09<\/a>\u306b\u3066\u300c\u65e5\u5e38\u306b\u6f5c\u3080\uff01\u30d4\u30f3\u30c1\u8131\u51fa\u6cd5\u306b\u3064\u3044\u3066\u300d\u306e\u30b3\u30fc\u30ca\u30fc\u306b\u51fa\u6f14\u3057\u307e\u3057\u305f\u3002Tver\u306b\u3066<a href=\"https:\/\/tver.jp\/episodes\/epmfevh9zv?p=1654\">11\u67087\u65e5\uff08\u571f\uff09\u307e\u3067\u914d\u4fe1\u4e2d\u3067\u3059\u3002<\/a><\/li>\r\n<\/ul>\r\n<p><img class=\"alignnone  wp-image-69117 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-01-4.35.38.jpeg\" alt=\"\" width=\"443\" height=\"249\" \/><\/p>\r\n<ul>\r\n<li>11\u67084\u65e5\uff08\u6c34\uff09\u3000<a href=\"https:\/\/www.ntv.co.jp\/zip\/\">ZIP\uff08\u65e5\u672c\u30c6\u30ec\u30d3\uff09<\/a>7:20\u9803\u653e\u9001\u4e88\u5b9a\uff08\u79d1\u5b66\u76e3\u4fee\uff09<\/li>\r\n<li>11\u670827\u65e5\uff08\u91d1\uff09\u3000\u30c6\u30ec\u30d3\u76e3\u4fee\u756a\u7d44\u653e\u9001\u4e88\u5b9a<\/li>\r\n<li>12\u670826\u65e5\uff08\u571f\uff09\u3000<a href=\"https:\/\/phys-edu.net\/wp\/?p=64825\">\u30ca\u30ea\u30ab\u30b5\u30a4\u30a8\u30f3\u30b9\u30a2\u30ab\u30c7\u30df\u30fc\uff08\u6559\u54e1\u5411\u3051\u5b9f\u9a13\u8b1b\u7fd2\u4f1a\uff09\u958b\u50ac<\/a><\/li>\r\n<\/ul>\r\n<h3>\uff11\uff11\u6708\u306e\u30a4\u30c1\u30aa\u30b7\u5b9f\u9a13\uff01<\/h3>\r\n<p style=\"text-align: center;\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69130\">\u3069\u3046\u3057\u3066\u7d50\u9732\u306f\u8d77\u3053\u308b\u306e\u304b\uff1f\u7d50\u9732\u3092\u9632\u3050\u305f\u3081\u306b\u306f\uff1f\u5b9f\u9a13\u3067\u78ba\u304b\u3081\u3088\u3046\uff01<\/a><\/p>\r\n<p><img class=\"alignnone wp-image-69132 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/%E3%82%B9%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%B7%E3%83%A7%E3%83%83%E3%83%88-2026-10-31-10.02.13-10.07.37.jpeg\" sizes=\"(max-width: 420px) 100vw, 420px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-10-31-10.02.13-10.07.37.jpeg 1322w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-10-31-10.02.13-10.07.37-300x253.jpeg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-10-31-10.02.13-10.07.37-1024x863.jpeg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-10-31-10.02.13-10.07.37-768x647.jpeg 768w\" alt=\"\" width=\"316\" height=\"266\" \/><\/p>\r\n<h3><b>\u66f8\u7c4d<strong>\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/h3>\r\n<ul>\r\n<li>\u300e<a href=\"https:\/\/phys-edu.net\/wp\/?p=64462\">\u9ad8\u6821\u5165\u8a66 \u5206\u89e3\u554f\u984c\u96c6 \u7406\u79d1<\/a>\u300f\uff08\u5b66\u7814\uff09\u2026\u96e3\u3057\u3044\u554f\u984c\u3082\u5c0f\u3055\u306a\u554f\u984c\u306b\u5206\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u3093\u306a\u5206\u89e3\u306e\u6280\u8853\u304c\u8eab\u306b\u3064\u304f\u3088\u3046\u306b\u6df1\u304f\u95a2\u308f\u308a\u3092\u6301\u3063\u3066\u4f5c\u308a\u307e\u3057\u305f\u3002<br \/><a href=\"https:\/\/phys-edu.net\/wp\/?p=64462\"><img class=\"alignnone  wp-image-65097 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-07-04-8.40.17.jpeg\" alt=\"\" width=\"172\" height=\"244\" \/><\/a>\u300e\u5927\u4eba\u306e\u305f\u3081\u306e\u9ad8\u6821\u7269\u7406\u5fa9\u7fd2\u5e33\u300f\uff08\u8b1b\u8ac7\u793e\uff09\u2026\u4e00\u822c\u5411\u3051\u306b\u65e5\u5e38\u306e\u7269\u7406\u306b\u3064\u3044\u3066\u516c\u5f0f\u3092\u5143\u306b\u7d10\u89e3\u304d\u307e\u3057\u305f\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=1827\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u3067\u306f\u5b9f\u9a13\u3092\u591a\u6570\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<strong>\u203b\u5897\u5237\u304c\u304b\u304b\u308a\uff16\u5237\u3068\u306a\u308a\u307e\u3057\u305f\uff082026\/02\/01\uff09<br \/><img class=\"alignnone wp-image-10940 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg\" sizes=\"(max-width: 220px) 100vw, 220px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0.jpg 311w\" alt=\"\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8 2014-07-05 0.43.51\" width=\"220\" height=\"192\" \/><\/strong><\/li>\r\n<li>\u300e\u304d\u3081\u308b!\u5171\u901a\u30c6\u30b9\u30c8 \u7269\u7406\u57fa\u790e \u6539\u8a02\u7248\u300f\uff08\u5b66\u7814\uff09\u2026\u3000\u9ad8\u6821\u7269\u7406\u306e\u53c2\u8003\u66f8\u3067\u3059\u3002\u30a4\u30e9\u30b9\u30c8\u3092\u591a\u304f\u3057\u3066\u30a4\u30e1\u30fc\u30b8\u304c\u6301\u3066\u308b\u3088\u3046\u306b\u63cf\u304d\u307e\u3057\u305f\u3002\u6388\u696d\u306b\u3064\u3044\u3066\u3044\u3051\u306a\u3044\u3001\u7269\u7406\u304c\u82e6\u624b\u3001\u305d\u3093\u306a\u751f\u5f92\u306b\u304a\u3059\u3059\u3081\u3067\u3059\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=45322\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u306f\u3053\u3061\u3089\u3002<br \/><img class=\"alignnone wp-image-45718 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg\" sizes=\"(max-width: 184px) 100vw, 184px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg 756w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c-300x269.jpg 300w\" alt=\"\" width=\"184\" height=\"165\" \/><\/li>\r\n<\/ul>\r\n<h3><span style=\"text-align: center;\">\u5404\u7a2eSNS\uff08\u66f4\u65b0\u60c5\u5831\u3092\u304a\u5c4a\u3051\uff01\uff09<\/span><\/h3>\r\n<p style=\"text-align: center;\">\u3010\u65e5\u672c\u8a9e\u3011<a style=\"text-align: center;\" href=\"https:\/\/twitter.com\/kuwako\">X(Twitter)<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.instagram.com\/science_seeds\/\">instagram<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.facebook.com\/kuwakolab\/\">Facebook<\/a>\u3000\u3010\u82f1\u8a9e\u3011<a style=\"text-align: center;\" href=\"https:\/\/bsky.app\/profile\/kagakunoneta.bsky.social\">BlueSky<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.threads.net\/@science_seeds?hl=ja\">Threads<\/a><\/p>\r\n<h3 style=\"text-align: center;\"><strong>Explore<\/strong><\/h3>\r\n<ul>\r\n<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=30764\">\u697d\u3057\u3044\u5b9f\u9a13<\/a>\u2026\u304a\u5b50\u3055\u3093\u3068\u4e00\u7dd2\u306b\u5922\u4e2d\u306b\u306a\u308c\u308b\u30a4\u30c1\u30aa\u30b7\u306e\u79d1\u5b66\u5b9f\u9a13\u3092\u591a\u6570\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u9ad8\u6821\u7269\u7406\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u305f\u3081\u306e\u52d5\u753b\u6559\u6750\u3082\u7528\u610f\u3057\u307e\u3057\u305f\u3002<\/li>\r\n<li><a 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style=\"text-align: left;\"><ul class=\"wp-block-latest-posts__list is-grid has-dates wp-block-latest-posts is-layout-flow wp-block-latest-posts-is-layout-flow\"><li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69205&#038;lang=es\" aria-label=\"\u00a1Se enciende sin estar conectado! El misterio de la inducci\u00f3n mutua: un LED sobre una bobina que destella por un instante\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-03-4.47.00-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=69205&#038;lang=es\">\u00a1Se enciende sin estar conectado! El misterio de la inducci\u00f3n mutua: un LED sobre una bobina que destella por un instante<\/a><time datetime=\"2026-11-03T04:57:56+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67083\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69203&#038;lang=fi\" aria-label=\"Ei johtoa, silti syttyy! K\u00e4\u00e4min p\u00e4\u00e4ll\u00e4 oleva LED v\u00e4l\u00e4ht\u00e4\u00e4 hetkeksi \u2013 keskin\u00e4isinduktion ihme\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-03-4.47.00-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=69203&#038;lang=fi\">Ei johtoa, silti syttyy! K\u00e4\u00e4min p\u00e4\u00e4ll\u00e4 oleva LED v\u00e4l\u00e4ht\u00e4\u00e4 hetkeksi \u2013 keskin\u00e4isinduktion ihme<\/a><time datetime=\"2026-11-03T04:56:23+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67083\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69201&#038;lang=hi\" aria-label=\"\u092c\u093f\u0928\u093e \u0924\u093e\u0930 \u091c\u0941\u0921\u093c\u0947 \u0939\u0940 \u091c\u0932 \u0909\u0920\u0940 LED! \u0915\u0949\u0907\u0932 \u092a\u0930 \u092a\u0932 \u092d\u0930 \u0915\u0940 \u091a\u092e\u0915 \u0915\u093e \u0930\u093e\u091c\u093c \u0939\u0948 \u0905\u0928\u094d\u092f\u094b\u0928\u094d\u092f \u092a\u094d\u0930\u0947\u0930\u0923\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-03-4.47.00-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=69201&#038;lang=hi\">\u092c\u093f\u0928\u093e \u0924\u093e\u0930 \u091c\u0941\u0921\u093c\u0947 \u0939\u0940 \u091c\u0932 \u0909\u0920\u0940 LED! \u0915\u0949\u0907\u0932 \u092a\u0930 \u092a\u0932 \u092d\u0930 \u0915\u0940 \u091a\u092e\u0915 \u0915\u093e \u0930\u093e\u091c\u093c \u0939\u0948 \u0905\u0928\u094d\u092f\u094b\u0928\u094d\u092f \u092a\u094d\u0930\u0947\u0930\u0923<\/a><time datetime=\"2026-11-03T04:55:59+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67083\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69199&#038;lang=zh\" aria-label=\"\u6c92\u6709\u63a5\u7dda\u537b\u6703\u4eae!\u7dda\u5708\u4e0a\u7684LED\u77ac\u9593\u9583\u4e00\u4e0b,\u4e92\u611f\u7684\u795e\u5947\u73fe\u8c61\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-03-4.47.00-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=69199&#038;lang=zh\">\u6c92\u6709\u63a5\u7dda\u537b\u6703\u4eae!\u7dda\u5708\u4e0a\u7684LED\u77ac\u9593\u9583\u4e00\u4e0b,\u4e92\u611f\u7684\u795e\u5947\u73fe\u8c61<\/a><time datetime=\"2026-11-03T04:54:48+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67083\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69196&#038;lang=ko\" aria-label=\"\uc120\uc774 \uc5f0\uacb0\ub418\uc9c0 \uc54a\uc558\ub294\ub370 \ubd88\uc774 \ucf1c\uc9c4\ub2e4! \ucf54\uc77c \uc704 LED\uac00 \uc21c\uac04 \ubc18\uc9dd, \uc0c1\ud638 \uc720\ub3c4\uc758 \uc2e0\ube44\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-03-4.47.00-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=69196&#038;lang=ko\">\uc120\uc774 \uc5f0\uacb0\ub418\uc9c0 \uc54a\uc558\ub294\ub370 \ubd88\uc774 \ucf1c\uc9c4\ub2e4! \ucf54\uc77c \uc704 LED\uac00 \uc21c\uac04 \ubc18\uc9dd, \uc0c1\ud638 \uc720\ub3c4\uc758 \uc2e0\ube44<\/a><time datetime=\"2026-11-03T04:53:42+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67083\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69194&#038;lang=en\" aria-label=\"No Wires, Still Glowing! The Magic of Mutual Induction That Flashes an LED for a Split Second\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-03-4.47.00-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=69194&#038;lang=en\">No Wires, Still Glowing! The Magic of Mutual Induction That Flashes an LED for a Split Second<\/a><time datetime=\"2026-11-03T04:53:02+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67083\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69186\" aria-label=\"\u3064\u306a\u304c\u3063\u3066\u3044\u306a\u3044\u306e\u306b\u5149\u308b! \u30b3\u30a4\u30eb\u306e\u4e0a\u306eLED\u304c\u4e00\u77ac\u3060\u3051\u70b9\u706f\u3059\u308b\u76f8\u4e92\u8a98\u5c0e\u306e\u4e0d\u601d\u8b70\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-03-4.47.00-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=69186\">\u3064\u306a\u304c\u3063\u3066\u3044\u306a\u3044\u306e\u306b\u5149\u308b! \u30b3\u30a4\u30eb\u306e\u4e0a\u306eLED\u304c\u4e00\u77ac\u3060\u3051\u70b9\u706f\u3059\u308b\u76f8\u4e92\u8a98\u5c0e\u306e\u4e0d\u601d\u8b70<\/a><time datetime=\"2026-11-03T04:50:22+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67083\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=40697\" aria-label=\"\u305f\u3063\u305f2\u3064\u306e\u8a2d\u5b9a\u3067\u30bf\u30a4\u30d4\u30f3\u30b0\u304c\u6fc0\u5909! Mac\u306e\u300c\u30ad\u30fc\u306e\u30ea\u30d4\u30fc\u30c8\u300d\u3092\u8a66\u3057\u3066\u307f\u305f\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/07\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-03-4.36.21-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=40697\">\u305f\u3063\u305f2\u3064\u306e\u8a2d\u5b9a\u3067\u30bf\u30a4\u30d4\u30f3\u30b0\u304c\u6fc0\u5909! Mac\u306e\u300c\u30ad\u30fc\u306e\u30ea\u30d4\u30fc\u30c8\u300d\u3092\u8a66\u3057\u3066\u307f\u305f<\/a><time datetime=\"2026-11-03T04:22:56+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67083\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69165&#038;lang=es\" aria-label=\"\u00bfSolo con lavavajillas desaparece la condensaci\u00f3n de la ventana? La ciencia detr\u00e1s de las gotas que se extienden\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-10-31-10.02.13-10.07.37-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=69165&#038;lang=es\">\u00bfSolo con lavavajillas desaparece la condensaci\u00f3n de la ventana? La ciencia detr\u00e1s de las gotas que se extienden<\/a><time datetime=\"2026-11-02T04:33:38+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67082\u65e5<\/time><\/li>\n<\/ul><\/h3>\r\n<p>&nbsp;<\/p>\r\n<h3 style=\"text-align: left;\"><\/h3>\r\n","protected":false},"excerpt":{"rendered":"<p>Hi, I\u2019m Ken Kuwako, your Science Trainer. Life is one big experiment! Do you remember playing with a &#8220;De [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":33825,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","sns_share_botton_hide":"","vkExUnit_sns_title":"","vkexunit_cta_each_option":"","_lightning_design_setting":{"layout":"default"},"footnotes":"","jetpack_post_was_ever_published":false},"categories":[781],"tags":[],"class_list":["post-62106","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-science-en"],"jetpack-related-posts":[{"id":55355,"url":"https:\/\/phys-edu.net\/wp\/?p=55355&lang=en","url_meta":{"origin":62106,"position":0},"title":"When You Shift to an Easier Gear on a Hill, You\u2019re Doing Physics! The Bicycle and the Principle of Work","author":"\u6851\u5b50 \u7814","date":"2025\u5e7411\u67083\u65e5","format":false,"excerpt":"Ken Kuwako, Science Trainer. 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