{"id":64594,"date":"2026-06-17T04:48:32","date_gmt":"2026-06-16T19:48:32","guid":{"rendered":"https:\/\/phys-edu.net\/wp\/?p=64594"},"modified":"2026-06-17T04:48:32","modified_gmt":"2026-06-16T19:48:32","slug":"leikkipuiston-valineet-ovat-matematiikan-aarreaitta%ef%bc%81miksi-spiraali-nayttaa-seka-ympyralta-etta-siniaalolta","status":"publish","type":"post","link":"https:\/\/phys-edu.net\/wp\/?p=64594&lang=fi","title":{"rendered":"Leikkipuiston v\u00e4lineet ovat matematiikan aarreaitta\uff01Miksi spiraali n\u00e4ytt\u00e4\u00e4 sek\u00e4 ympyr\u00e4lt\u00e4 ett\u00e4 siniaalolta?"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #339966;\"><strong>Olen tiedevalmentaja Ken Kuwako. Jokainen p\u00e4iv\u00e4 on uusi koe.<\/strong><\/span><\/p>\n<p>Kun viet\u00e4t aikaa puistossa, voit l\u00f6yt\u00e4\u00e4 yll\u00e4tt\u00e4vist\u00e4 paikoista matematiikan ja fysiikan aarteita. Hiljattain huomioni kiinnittyi tuttuun leikkipuiston v\u00e4lineeseen. Sen rata kiemurteli spiraalimaisesti \u2013 ensi silm\u00e4yksell\u00e4 kyseess\u00e4 n\u00e4ytt\u00e4\u00e4 olevan tavallinen kiipeilyteline, mutta todellisuudessa siihen k\u00e4tkeytyy h\u00e4mm\u00e4stytt\u00e4v\u00e4 ilmi\u00f6: muoto muuttuu sen mukaan, mist\u00e4 suunnasta sit\u00e4 katsotaan.<\/p>\n<h3>Puistov\u00e4lineeseen k\u00e4tkeytyv\u00e4 spiraalin arvoitus<\/h3>\n<p>Katso seuraavaa kuvaa. L\u00f6ysin puistosta leikkiv\u00e4lineen, joka seuraa spiraalimaista rataa. Kuvassa n\u00e4kyy my\u00f6s sen varjo, ja hauskaa kyll\u00e4, varjo muistuttaa <b>sykloidik\u00e4yr\u00e4\u00e4<\/b>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-37064 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/a5c273173adce4684e98b36e8ec80612.jpg\" alt=\"\" width=\"573\" height=\"472\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/a5c273173adce4684e98b36e8ec80612.jpg 1096w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/a5c273173adce4684e98b36e8ec80612-300x247.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/a5c273173adce4684e98b36e8ec80612-1024x845.jpg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/a5c273173adce4684e98b36e8ec80612-768x633.jpg 768w\" sizes=\"auto, (max-width: 573px) 100vw, 573px\" \/><\/p>\n<p>Sykloidik\u00e4yr\u00e4 on rata, jonka ympyr\u00e4n keh\u00e4ll\u00e4 oleva piste piirt\u00e4\u00e4 ympyr\u00e4n vieriess\u00e4 tasoa pitkin. Se tunnetaan my\u00f6s k\u00e4yr\u00e4n\u00e4, jota <b>Galileo Galilei<\/b> tutki nopeimman laskeutumisen ongelman yhteydess\u00e4. On h\u00e4mm\u00e4stytt\u00e4v\u00e4\u00e4 ajatella, ett\u00e4 puiston varjoissa voi piileskell\u00e4 n\u00e4in kiehtovaa matematiikkaa.<\/p>\n<h3>Spiraali n\u00e4ytt\u00e4\u00e4 erilaiselta eri suunnista katsottuna<\/h3>\n<p>T\u00e4m\u00e4n spiraaliradan ehk\u00e4 kiinnostavin ominaisuus on se, ett\u00e4 <b>se n\u00e4ytt\u00e4\u00e4 t\u00e4ysin erilaiselta katselukulmasta riippuen<\/b>. Ilmi\u00f6 oli niin mielenkiintoinen, ett\u00e4 kuvasin siit\u00e4 my\u00f6s videon.<\/p>\n<p><iframe loading=\"lazy\" title=\"\u516c\u5712\u3067\u89b3\u5bdf\uff01\u3089\u305b\u3093\u904b\u52d5\u3092\u3044\u308d\u3044\u308d\u306a\u65b9\u5411\u304b\u3089\u898b\u3066\u307f\u3088\u3046\uff01\uff08\u87ba\u65cb\u904b\u52d5\uff09\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/8mYfGCu_kf0?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><b>Ylh\u00e4\u00e4lt\u00e4 katsottuna se n\u00e4ytt\u00e4\u00e4 ympyr\u00e4lt\u00e4.<\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-37066 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/f5c63745b03f9d1885d56a36af5f3d33.jpg\" alt=\"\" width=\"622\" height=\"570\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/f5c63745b03f9d1885d56a36af5f3d33.jpg 950w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/f5c63745b03f9d1885d56a36af5f3d33-300x275.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/f5c63745b03f9d1885d56a36af5f3d33-768x703.jpg 768w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/p>\n<p><b>Sivulta katsottuna se muistuttaa sini- tai kosiniaaltoa.<\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-37065 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/0447dcd3601b30c34b4d3a91cb77bb3e.jpg\" alt=\"\" width=\"625\" height=\"395\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/0447dcd3601b30c34b4d3a91cb77bb3e.jpg 1046w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/0447dcd3601b30c34b4d3a91cb77bb3e-300x190.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/0447dcd3601b30c34b4d3a91cb77bb3e-1024x648.jpg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2021\/01\/0447dcd3601b30c34b4d3a91cb77bb3e-768x486.jpg 768w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/p>\n<p>T\u00e4m\u00e4 ei ole sattumaa, vaan matematiikan v\u00e4ist\u00e4m\u00e4t\u00f6n seuraus. Spiraali eli heliksi on kolmiulotteinen k\u00e4yr\u00e4, jossa kappale liikkuu ympyr\u00e4rataa samalla kun se nousee tasaisella nopeudella yl\u00f6sp\u00e4in. Kun t\u00e4t\u00e4 liikett\u00e4 tarkastellaan ylh\u00e4\u00e4lt\u00e4 p\u00e4in projisoituna, n\u00e4kyviin tulee ympyr\u00e4. Kun taas katsotaan sivulta, n\u00e4kyviin tulee siniaalto.<\/p>\n<p>Fysiikassa ja matematiikassa kolmiulotteisia liikkeit\u00e4 tarkastellaan usein kaksiulotteisten projektioiden avulla. Esimerkiksi s\u00e4hk\u00f6magneettiset aallot, kuten valo ja radioaallot, v\u00e4r\u00e4htelev\u00e4t siten, ett\u00e4 s\u00e4hk\u00f6- ja magneettikent\u00e4t ovat kohtisuorassa toisiaan vastaan etenemissuuntaan n\u00e4hden. Kun t\u00e4llainen ilmi\u00f6 esitet\u00e4\u00e4n tietyss\u00e4 tasossa, se kuvataan usein siniaaltona.<\/p>\n<p>Spiraali, ympyr\u00e4 ja aalto eiv\u00e4t siis ole toisistaan irrallisia ilmi\u00f6it\u00e4. Ne ovat saman liikkeen eri n\u00e4k\u00f6kulmista n\u00e4kyvi\u00e4 ilmenemismuotoja.<\/p>\n<h3>Tutki ilmi\u00f6t\u00e4 itse GeoGebralla<\/h3>\n<p>Kolmiulotteisten muotojen hahmottaminen pelk\u00e4st\u00e4\u00e4n mielikuvituksen avulla voi olla haastavaa. Siksi loin ohjelman <a href=\"https:\/\/www.geogebra.org\/m\/wqgbeya8\">t\u00e4nne<\/a>. Voit py\u00f6ritt\u00e4\u00e4 spiraalia vapaasti ja tarkastella itse, miss\u00e4 kulmassa se n\u00e4ytt\u00e4\u00e4 ympyr\u00e4lt\u00e4 ja miss\u00e4 taas siniaallolta.<\/p>\n<p><iframe loading=\"lazy\" style=\"border: 1px solid #e4e4e4; border-radius: 4px;\" src=\"https:\/\/www.geogebra.org\/3d\/wqgbeya8?embed\" width=\"800\" height=\"600\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>Kun muutat katselukulmaa hitaasti, ympyr\u00e4 muuttuu v\u00e4hitellen aalloksi ja aalto takaisin ympyr\u00e4ksi. T\u00e4m\u00e4 kokemus \u2013 ett\u00e4 sama kappale voi n\u00e4ytt\u00e4\u00e4 t\u00e4ysin erilaiselta eri suunnista katsottuna \u2013 on t\u00e4rke\u00e4 askel kolmiulotteisen avaruuden ymm\u00e4rt\u00e4misess\u00e4.<\/p>\n<p>On kiehtovaa ajatella, ett\u00e4 tavallinen puiston leikkiv\u00e4line voi yhdist\u00e4\u00e4 ympyr\u00e4liikkeen, siniaallot ja sykloidik\u00e4yr\u00e4t samaan oppituntiin. Tiede l\u00f6ytyy usein juuri niist\u00e4 paikoista, joita pid\u00e4mme kaikkein tavallisimpina.<\/p>\n<div class=\"g-ytsubscribe\" data-channelid=\"UCBoF1yPvFnXnSJ_Xe5AmXcw\" data-layout=\"full\" data-count=\"default\"><\/div>\n<h3>Yhteydenotot ja yhteisty\u00f6pyynn\u00f6t<\/h3>\n<p>Tuodaan tieteen ihmeet l\u00e4hemm\u00e4ksi arkea! Sivustolta l\u00f6yd\u00e4t helposti toteutettavia kotikokeita sek\u00e4 selkeit\u00e4 vinkkej\u00e4 niiden tekemiseen. Tutustu rohkeasti sis\u00e4lt\u00f6ihin!<\/p>\n<p>\u30fbTiedeaiheisista artikkeleistani on julkaistu my\u00f6s kirja. Lis\u00e4tietoja <a href=\"https:\/\/amzn.to\/42PMCEL\">t\u00e4\u00e4lt\u00e4<\/a><br \/>\n\u30fbLis\u00e4tietoja kirjoittajasta Ken Kuwakosta <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=37\">t\u00e4\u00e4lt\u00e4<\/a><br \/>\n\u30fbYhteisty\u00f6pyynn\u00f6t (kirjoitukset, luennot, tiedekerhot, TV-asiantuntijateht\u00e4v\u00e4t, esiintymiset jne.) <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">t\u00e4\u00e4lt\u00e4<\/a><br \/>\n<span class=\"s2\">\u30fbUusimmat artikkelit l\u00f6ytyv\u00e4t my\u00f6s <a href=\"https:\/\/x.com\/kuwako\">X:st\u00e4<\/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><a href=\"https:\/\/www.youtube.com\/user\/kkuwako?sub_confirmation=1\">Tiedenikkarikanava<\/a> julkaisee s\u00e4\u00e4nn\u00f6llisesti uusia kokeiluvideoita!<\/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>11\/4\uff08\u6c34\uff09<a href=\"https:\/\/www.ntv.co.jp\/zip\/\">ZIP\uff08\u65e5\u672c\u30c6\u30ec\u30d3\uff09<\/a>\u306e\u30b3\u30fc\u30ca\u30fc\uff087:20\u5206\u3053\u308d\u653e\u9001\u4e88\u5b9a\uff09\u306b\u3066\u79d1\u5b66\u76e3\u4fee\u3092\u62c5\u5f53\u3057\u307e\u3057\u305f\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=69252\">\u30b4\u30f3\u30c1\u30e3\u306e\u30b9\u30c8\u30ed\u30fc\u306e\u5dee\u3057\u65b9\u306b\u95a2\u3059\u308b\u30a6\u30e9\u30b6\u30ef\u3068\u79d1\u5b66\u89e3\u8aac\u306b\u3064\u3044\u3066<\/a>\u3067\u3059\u3002<\/li>\r\n<\/ul>\r\n<p><img class=\"alignnone  wp-image-69254 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2026\/11\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-11-05-4.11.17.jpeg\" alt=\"\" width=\"264\" height=\"210\" \/><\/p>\r\n<ul>\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=69396\">\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 href=\"https:\/\/phys-edu.net\/wp\/?page_id=798\">\u7406\u79d1\u306e\u6559\u6750<\/a>\u2026 \u7406\u79d1\u6559\u5e2b\u3092\u30d0\u30c3\u30af\u30a2\u30c3\u30d7\uff01\u6388\u696d\u306e\u8cea\u3092\u9ad8\u3081\u3001\u6e96\u5099\u3092\u52b9\u7387\u5316\u3059\u308b\u305f\u3081\u306e\u9078\u308a\u3059\u3050\u308a\u306e\u6559\u6750\u3092\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\r\n<li><a href=\"https:\/\/www.youtube.com\/c\/kkuwako\">Youtube<\/a>\u2026\u79d1\u5b66\u5b9f\u9a13\u7b49\u306e\u52d5\u753b\u3092\u914d\u4fe1\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\r\n<li><a href=\"https:\/\/music.youtube.com\/playlist?list=PLoK4ZvKN9S2NgpYIochcQs0aL-vrRB_Qw\">\u79d1\u5b66\u30e9\u30b8\u30aa<\/a>\u00a0\u2026\u79d1\u5b66\u30c8\u30d4\u30c3\u30af\u3092\u307b\u307c\u6bce\u65e5\u914d\u4fe1\u4e2d\uff01AI\u6280\u8853\u3092\u99c6\u4f7f\u3057\u3066\u4f5c\u6210\u3057\u305f\u300c\u8033\u3067\u697d\u3057\u3080\u79d1\u5b66\u300d\u3092\u304a\u5c4a\u3051\u3057\u307e\u3059\u3002<\/li>\r\n<li><a href=\"http:\/\/phys-edu.net\/wp\/?page_id=20940\">\u8b1b\u6f14<\/a>\u00a0\u2026\u5168\u56fd\u5404\u5730\u3067\u5b9f\u9a13\u8b1b\u7fd2\u4f1a\u30fb\u30b5\u30a4\u30a8\u30f3\u30b9\u30b7\u30e7\u30fc\u7b49\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002<\/li>\r\n<li><a href=\"http:\/\/phys-edu.net\/wp\/?page_id=37\">About<\/a>\u00a0\u2026\u300c\u79d1\u5b66\u306e\u30cd\u30bf\u5e33\u300d\u306e\u30b3\u30f3\u30bb\u30d7\u30c8\u3084\u3001\u904b\u55b6\u8005\u3067\u3042\u308b\u6851\u5b50\u7814\u306e\u30d7\u30ed\u30d5\u30a3\u30fc\u30eb\u30fb\u60f3\u3044\u3092\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002<\/li>\r\n<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">\u304a\u554f\u3044\u5408\u308f\u305b<\/a>\u00a0\u2026\u5b9f\u9a13\u6559\u5ba4\u306e\u3054\u4f9d\u983c\u3001\u57f7\u7b46\u30fb\u8b1b\u6f14\u306e\u76f8\u8ac7\u3001\u79d1\u5b66\u76e3\u4fee\u7b49\u306f\u3053\u3061\u3089\u306e\u30d5\u30a9\u30fc\u30e0\u304b\u3089\u304a\u5bc4\u305b\u304f\u3060\u3055\u3044\u3002<\/li>\r\n<\/ul>\r\n<h3 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=69417&#038;lang=es\" aria-label=\"\u00bfHasta qu\u00e9 altura puedes llegar con 20 espaguetis? El reto de 18 minutos y el r\u00e9cord de 99 cm\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/04\/3a2c3eab7c920b222eb5bc7b11ea655e-150x150.jpg\" 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=69417&#038;lang=es\">\u00bfHasta qu\u00e9 altura puedes llegar con 20 espaguetis? El reto de 18 minutos y el r\u00e9cord de 99 cm<\/a><time datetime=\"2026-11-10T04:19:07+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u670810\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69415&#038;lang=hi\" aria-label=\"\u0938\u093f\u0930\u094d\u092b\u093c 20 \u092a\u093e\u0938\u094d\u0924\u093e \u0938\u094d\u091f\u093f\u0915 \u0938\u0947 \u0915\u093f\u0924\u0928\u0940 \u090a\u0901\u091a\u093e\u0908 \u0924\u0915 \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902? 18 \u092e\u093f\u0928\u091f \u0915\u0940 \u091a\u0941\u0928\u094c\u0924\u0940 \u0914\u0930 99 \u0938\u0947\u092e\u0940 \u0915\u093e \u0930\u093f\u0915\u0949\u0930\u094d\u0921\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/04\/3a2c3eab7c920b222eb5bc7b11ea655e-150x150.jpg\" 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=69415&#038;lang=hi\">\u0938\u093f\u0930\u094d\u092b\u093c 20 \u092a\u093e\u0938\u094d\u0924\u093e \u0938\u094d\u091f\u093f\u0915 \u0938\u0947 \u0915\u093f\u0924\u0928\u0940 \u090a\u0901\u091a\u093e\u0908 \u0924\u0915 \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902? 18 \u092e\u093f\u0928\u091f \u0915\u0940 \u091a\u0941\u0928\u094c\u0924\u0940 \u0914\u0930 99 \u0938\u0947\u092e\u0940 \u0915\u093e \u0930\u093f\u0915\u0949\u0930\u094d\u0921<\/a><time datetime=\"2026-11-10T04:18:52+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u670810\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69413&#038;lang=fi\" aria-label=\"Kuinka korkealle p\u00e4\u00e4set 20 pastatangolla? 18 minuutin haaste ja 99 cm:n enn\u00e4tys\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/04\/3a2c3eab7c920b222eb5bc7b11ea655e-150x150.jpg\" 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=69413&#038;lang=fi\">Kuinka korkealle p\u00e4\u00e4set 20 pastatangolla? 18 minuutin haaste ja 99 cm:n enn\u00e4tys<\/a><time datetime=\"2026-11-10T04:18:35+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u670810\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69411&#038;lang=zh\" aria-label=\"20\u6839\u7fa9\u5927\u5229\u9eb5\u80fd\u5806\u591a\u9ad8?18\u5206\u9418\u7684\u6311\u6230\u820799\u516c\u5206\u7684\u6700\u9ad8\u7d00\u9304\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/04\/3a2c3eab7c920b222eb5bc7b11ea655e-150x150.jpg\" 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=69411&#038;lang=zh\">20\u6839\u7fa9\u5927\u5229\u9eb5\u80fd\u5806\u591a\u9ad8?18\u5206\u9418\u7684\u6311\u6230\u820799\u516c\u5206\u7684\u6700\u9ad8\u7d00\u9304<\/a><time datetime=\"2026-11-10T04:18:04+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u670810\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69409&#038;lang=ko\" aria-label=\"\uc2a4\ud30c\uac8c\ud2f0 \uba74 20\uac00\ub2e5\uc73c\ub85c \uc5bc\ub9c8\ub098 \ub192\uc774 \uc313\uc744 \uc218 \uc788\uc744\uae4c? 18\ubd84\uc758 \ub3c4\uc804\uacfc \ucd5c\uace0 \uae30\ub85d 99cm\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/04\/3a2c3eab7c920b222eb5bc7b11ea655e-150x150.jpg\" 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=69409&#038;lang=ko\">\uc2a4\ud30c\uac8c\ud2f0 \uba74 20\uac00\ub2e5\uc73c\ub85c \uc5bc\ub9c8\ub098 \ub192\uc774 \uc313\uc744 \uc218 \uc788\uc744\uae4c? 18\ubd84\uc758 \ub3c4\uc804\uacfc \ucd5c\uace0 \uae30\ub85d 99cm<\/a><time datetime=\"2026-11-10T04:17:40+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u670810\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69406&#038;lang=en\" aria-label=\"How Tall Can 20 Strands of Pasta Go? The 18-Minute Challenge and the 99 cm Record\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/04\/3a2c3eab7c920b222eb5bc7b11ea655e-150x150.jpg\" 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=69406&#038;lang=en\">How Tall Can 20 Strands of Pasta Go? The 18-Minute Challenge and the 99 cm Record<\/a><time datetime=\"2026-11-10T04:17:07+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u670810\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=40074\" aria-label=\"\u30d1\u30b9\u30bf20\u672c\u3067\u3069\u3053\u307e\u3067\u9ad8\u304f\u3067\u304d\u308b\uff1f18\u5206\u9593\u306e\u6311\u6226\u3068\u6700\u9ad8\u8a18\u933299cm\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/04\/3a2c3eab7c920b222eb5bc7b11ea655e-150x150.jpg\" 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=40074\">\u30d1\u30b9\u30bf20\u672c\u3067\u3069\u3053\u307e\u3067\u9ad8\u304f\u3067\u304d\u308b\uff1f18\u5206\u9593\u306e\u6311\u6226\u3068\u6700\u9ad8\u8a18\u933299cm<\/a><time datetime=\"2026-11-10T04:11:29+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u670810\u65e5<\/time><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=69396\">\u904b\u52d5\u3082\u96fb\u6c17\u3082\u4e00\u65e5\u3067\u3064\u306a\u304c\u308b \u660e\u65e5\u306e\u6388\u696d\u3067\u8a66\u3057\u305f\u304f\u306a\u308b\u7406\u79d1\u5b9f\u9a13\u8b1b\u7fd2\u4f1a<\/a><time datetime=\"2026-11-09T17:23:22+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67089\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=69382&#038;lang=hi\" aria-label=\"\u092a\u0924\u094d\u0924\u0940 \u0915\u0947 \u0928\u093f\u091a\u0932\u0947 \u0939\u093f\u0938\u094d\u0938\u0947 \u092a\u0930 \u0935\u0948\u0938\u0932\u0940\u0928 \u0932\u0917\u093e\u0928\u0947 \u0938\u0947 \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948? \u0939\u093e\u0907\u0921\u094d\u0930\u0947\u0902\u091c\u093f\u092f\u093e \u0915\u0940 \u092a\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0938\u0947 \u0935\u093e\u0937\u094d\u092a\u094b\u0924\u094d\u0938\u0930\u094d\u091c\u0928 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2022\/05\/4305a7d0d28228ffa8e3997287fb3f23-150x150.jpg\" 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=69382&#038;lang=hi\">\u092a\u0924\u094d\u0924\u0940 \u0915\u0947 \u0928\u093f\u091a\u0932\u0947 \u0939\u093f\u0938\u094d\u0938\u0947 \u092a\u0930 \u0935\u0948\u0938\u0932\u0940\u0928 \u0932\u0917\u093e\u0928\u0947 \u0938\u0947 \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948? \u0939\u093e\u0907\u0921\u094d\u0930\u0947\u0902\u091c\u093f\u092f\u093e \u0915\u0940 \u092a\u0924\u094d\u0924\u093f\u092f\u094b\u0902 \u0938\u0947 \u0935\u093e\u0937\u094d\u092a\u094b\u0924\u094d\u0938\u0930\u094d\u091c\u0928 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917<\/a><time datetime=\"2026-11-09T04:34:14+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e7411\u67089\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>Olen tiedevalmentaja Ken Kuwako. Jokainen p\u00e4iv\u00e4 on uusi koe. Kun viet\u00e4t aikaa puistossa, voit l\u00f6yt\u00e4\u00e4 yll\u00e4tt\u00e4vi [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":37064,"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":[1630],"tags":[],"class_list":["post-64594","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category--fi"],"jetpack-related-posts":[{"id":60075,"url":"https:\/\/phys-edu.net\/wp\/?p=60075&lang=fi","url_meta":{"origin":64594,"position":0},"title":"Voiko ympyr\u00e4 muuttua aalloksi? Scratchilla piirretty siniaallon salaper\u00e4inen ja kaunis maailma (fysiikan ja matematiikan oppimateriaali)","author":"\u6851\u5b50 \u7814","date":"2026\u5e742\u67085\u65e5","format":false,"excerpt":"Olen tiedevalmentaja Ken Kuwako. 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Trigonometrisen yhdist\u00e4misen ymm\u00e4rt\u00e4minen animaation avulla (Scratch)","author":"\u6851\u5b50 \u7814","date":"2026\u5e743\u670814\u65e5","format":false,"excerpt":"Olen Ken Kuwako, tiedevalmentajasi. Jokainen p\u00e4iv\u00e4\u2026","rel":"","context":"Science","block_context":{"text":"Science","link":"https:\/\/phys-edu.net\/wp\/?cat=1630&lang=fi"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/82044aec2c7a705ed49a63a73f3039a4.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/82044aec2c7a705ed49a63a73f3039a4.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/82044aec2c7a705ed49a63a73f3039a4.jpg?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/04\/82044aec2c7a705ed49a63a73f3039a4.jpg?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":62110,"url":"https:\/\/phys-edu.net\/wp\/?p=62110&lang=fi","url_meta":{"origin":64594,"position":2},"title":"Hetki, jolloin leikki muuttuu oppimiseksi! 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