[{"data":1,"prerenderedAt":360},["ShallowReactive",2],{"project-16909714":3},{"id":4,"name":5,"line":5,"line_source":6,"title":7,"url":8,"domain":9,"maker":10,"posted_at":11,"year":12,"points":13,"comments":14,"rank_in_year":15,"shown_in_year":16,"top":17,"tier":18,"category":19,"subcategory":20,"format":21,"keywords":22,"reception":28,"sentiment":29,"stance_mix":30,"scored_comments":33,"aspects":34,"strip":41,"post_text":43,"what":44,"said":93,"maker_in_thread":215,"shape":227,"grid":231,"attempts":323,"same_week":324,"maker_shows":36,"maker_hidden":353,"reader_version":354,"card":355},"16909714","Intuitive Linear Algebra and 3D Geometry","title","Show HN: Intuitive Linear Algebra and 3D Geometry","https:\u002F\u002Fintuitive-math.club","intuitive-math.club","smspillaz",1524541823,2018,402,42,41,2155,2,"legend","learning_science","interactive math tutorial","web_app",[23,24,25,26,27],"linear algebra","3d geometry","interactive math","visualization","determinants","debated",0,{"positive":31,"neutral":17,"mixed":32,"critical":31},7,3,19,{"docs":35,"design":37,"idea":38,"execution":39,"performance":40},{"positive":32,"critical":36},1,{"positive":29,"critical":17},{"positive":17,"critical":36},{"positive":29,"critical":17},{"positive":29,"critical":36},[32,29,42,29,29,29,36,32,29,36,29,42,29,29,29,29,29,36,29,36,32,29,29,32,29,42,29,42,29,42,29,29,36,29,42,42,36,29,32,36],5,null,{"problem":45,"audience":55,"pricing":43,"motivation":67,"time_to_build":43,"stack":72,"openness":91,"stage":92,"team_size":91},{"value":46,"source":47,"evidence":48},"Linear algebra is hard to grasp from formulas; it needs intuitive visual explanations with worked examples","maker",[49,52],{"id":50,"by":10,"text":51},"16910665","I actually got my inspiration to do this from the 3b1b videos. And I agree, they are very fine educational materials. The gap which I'm trying to fill here is that 3b1b goes over…",{"id":53,"by":10,"text":54},"16910697","Indeed - this is one of the main motivations I had for creating this. 3b1b is great, but I much prefer reading than watching.",{"value":56,"source":57,"evidence":58},"Students learning linear algebra and people who want intuition for it","inferred",[59,63],{"id":60,"by":61,"text":62},"16912112","mannykannot","I think you are doing a great job here. I looked through your sections on determinants and inverses, and it is so much better than the way I was taught: \"this is the formula for…",{"id":64,"by":65,"text":66},"16911100","pushpankar","Thank you very much. After watching 3B1B linear algebra videos, I wished there was a more in-depth interactive tutorial. You made exactly what I wished.",{"value":68,"source":47,"evidence":69},"Wanted a more in-depth interactive tutorial than 3Blue1Brown videos, preferring reading",[70,71],{"id":50,"by":10,"text":51},{"id":53,"by":10,"text":54},[73,79,85],{"value":74,"source":47,"evidence":75},"React",[76],{"id":77,"by":10,"text":78},"16912755","Actually, I think the issue here now that I think of it is that we do media query detection in on the React side to figure out which components to render. Really, we should just…",{"value":80,"source":47,"evidence":81},"WebGL",[82],{"id":83,"by":10,"text":84},"16917808","Thanks! > One annoyance is that the graphs don't render if they're slightly off-screen (and they render slowly\u002Ffade-in or something) so it can be somewhat annoying to scroll…",{"value":86,"source":47,"evidence":87},"AWS Lambda",[88],{"id":89,"by":10,"text":90},"16910696","Yeah, for some reason I saw 60,000(!) requests on lambda all at the same time so I guess it had a bit of trouble scaling up. A scraper or Googlebot perhaps? Should be all fine now.","unknown","launched",{"praise":94,"objections":116,"requests":158,"questions":178,"alternatives":183},[95,105],{"value":96,"source":97,"evidence":98},"Visualizations and intuitive explanations are useful and well written","commenter",[99,100,104],{"id":60,"by":61,"text":62},{"id":101,"by":102,"text":103},"16914959","ryanianian","This is incredibly useful and informative. I have a degree in math, and I learned some new intuitive concepts I really wish I had better-grokked in college. The \"voice\"\u002Fstyle of…",{"id":64,"by":65,"text":66},{"value":106,"source":97,"evidence":107},"Good complement to 3Blue1Brown videos for readers who prefer text",[108,112],{"id":109,"by":110,"text":111},"16910685","CapacitorSet",">Watch instead Different tastes for different people. I found this website to be more useful, since I can browse, reread and skim through the text much more easily\u002Ffaster than on…",{"id":113,"by":114,"text":115},"16912730","jeffreyrogers","This is the best way of getting an intuition for linear algebra that I'm aware of. One of the few cases where video is the best medium for teaching the subject.",[117,128,135],{"value":118,"source":97,"evidence":119},"Explanations lean on formal properties too much, like textbooks",[120,124],{"id":121,"by":122,"text":123},"16910434","anateus","I appreciate the visualizations, but the explanatory approaches follow the same ones I've seen in basically every textbook. The following particularly epitomizes that: \"...it is…",{"id":125,"by":126,"text":127},"16915790","sannee","> explain in layman's terms and THEN explain the formal properties? The explanations are definitely very lacking of formalisms. There even isn't any proper explanation of what a…",{"value":129,"source":97,"evidence":130},"Grammar and typos reduce clarity",[131],{"id":132,"by":133,"text":134},"16915815","telchar","I appreciate any effort to make mathematical explanations more intuitive. A couple of thoughts: 1. There are a few grammatical errors (missing word, missing comma) that are…",{"value":136,"source":97,"evidence":137},"Site has bugs: internal server error, sidebar and mobile layout problems, scroll position",[138,142,146,150,154],{"id":139,"by":140,"text":141},"16913616","matthberg","Going to a non root or leaf page gives an internal server error, example: https:\u002F\u002Fintuitive-math.club\u002Flinear-algebra",{"id":143,"by":144,"text":145},"16910096","wnevets","is it just me or is the sidebar broken? Selecting a link on the sidebar after getting to the end of a page doesn't reset scrollY position",{"id":147,"by":148,"text":149},"16910712","ginnungagap","Also maybe it's just my phone but on mobile the sidebar covers the whole website making it impossible to read",{"id":151,"by":152,"text":153},"16911242","mkl","This seems interesting, but I feel like it would be way more useful if you could drag to rotate however you want, instead of waiting for the animation to get sort of close to the…",{"id":155,"by":156,"text":157},"16911060","nagarc","intetnal server error",[159,163,167,171],{"value":160,"source":97,"evidence":161},"Drag to rotate 3D visualizations and make pause\u002Fplay less obstructive",[162],{"id":151,"by":152,"text":153},{"value":164,"source":97,"evidence":165},"Add captions to images",[166],{"id":132,"by":133,"text":134},{"value":168,"source":97,"evidence":169},"Render graphs when slightly off-screen",[170],{"id":101,"by":102,"text":103},{"value":172,"source":97,"evidence":173},"Make the site static",[174],{"id":175,"by":176,"text":177},"16911369","mcjiggerlog","Just curious - couldn't this perfectly be a static site?",[179],{"value":180,"source":97,"evidence":181},"Why not use a static site instead of a server",[182],{"id":175,"by":176,"text":177},[184,194,201,208],{"value":185,"source":97,"evidence":186},"3Blue1Brown linear algebra videos",[187,191],{"id":188,"by":189,"text":190},"16910514","InclinedPlane","Watch 3blue1brown's linear algebra videos instead: https:\u002F\u002Fwww.youtube.com\u002Fplaylist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab (These are some of the finest educational materials…",{"id":192,"by":156,"text":193},"16911122","This is also nice https:\u002F\u002Fwww.youtube.com\u002Fplaylist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab",{"value":195,"source":97,"evidence":196},"Immersive Math linear algebra book",[197],{"id":198,"by":199,"text":200},"16910432","Zolomon","Here is another from the authors of Real-Time Rendering[1]. [1] http:\u002F\u002Fimmersivemath.com\u002Fila\u002Findex.html",{"value":202,"source":97,"evidence":203},"MIT 18.06 Gilbert Strang lectures",[204],{"id":205,"by":206,"text":207},"16914342","skywal_l","Gilbert Strand's lecture at MIT are very helpful to start with linear algebra: https:\u002F\u002Focw.mit.edu\u002Fcourses\u002Fmathematics\u002F18-06-linear-algebra-spring-2010\u002Fvideo-lectures\u002F",{"value":209,"source":97,"evidence":210},"mathisfun.com and betterexplained.com",[211],{"id":212,"by":213,"text":214},"16912016","buzzier","+ http:\u002F\u002Fwww.mathsisfun.com\u002F https:\u002F\u002Fbetterexplained.com\u002F",{"comments":216,"answered":42,"key":217},16,[218,221,224],{"id":219,"text":220},"16910679","Thanks for the feedback! I was a little worried that the explanations would fall back too much on formal properties, so I guess I've got a bit more work to do on the…",{"id":222,"text":223},"16912793","Indeed. I think one of the thing I wanted to focus on as well in this series was explaining exactly where a lot of the formulas came from. It was a great learning experience,…",{"id":225,"text":226},"16912743","> This seems interesting, but I feel like it would be way more useful if you could drag to rotate however you want, instead of waiting for the animation to get sort of close to…",{"commenters":228,"max_depth":42,"maker_replies":216,"first_comment_mins":229,"lifespan_hours":230},25,103,33,[232,234,236,238,239,243,245,247,249,251,253,255,256,257,258,259,261,263,265,268,269,271,274,275,277,278,280,283,285,289,291,293,295,297,300,303,308,312,317,318,320,322],[121,29,32,233,122,29],"project\u002Fmixed\u002Fdocs",[219,29,29,235,10,36],"maker\u002Fneutral\u002Fdocs",[60,29,42,237,61,29],"project\u002Fpositive\u002Fdocs",[222,29,29,235,10,36],[240,29,29,241,242,29],"16913196","other\u002Fneutral\u002Fnone","fjsolwmv",[244,29,29,241,61,29],"16920943",[125,29,36,246,126,29],"project\u002Fcritical\u002Fdocs",[151,36,32,248,152,29],"project\u002Fmixed\u002Fdesign",[225,36,29,250,10,36],"maker\u002Fneutral\u002Fnone",[188,17,36,252,189,29],"project\u002Fcritical\u002Fidea",[50,17,29,254,10,36],"maker\u002Fneutral\u002Fidea",[109,17,42,237,110,29],[53,17,29,250,10,36],[192,32,29,241,156,29],[113,32,29,241,114,29],[198,260,29,241,199,29],4,[262,260,29,250,10,36],"16910692",[143,42,36,264,144,29],"project\u002Fcritical\u002Fdesign",[266,42,29,267,10,36],"16910682","maker\u002Fneutral\u002Fdesign",[147,42,36,264,148,29],[270,42,29,267,10,36],"16910731",[272,42,32,267,273,29],"16910943","Jare",[77,42,29,267,10,36],[212,276,29,241,213,29],6,[132,31,32,233,133,29],[279,31,29,235,10,36],"16917802",[101,281,42,282,102,29],8,"project\u002Fpositive\u002Fidea",[83,281,29,284,10,36],"maker\u002Fneutral\u002Fperformance",[286,287,42,237,288,29],"16910752",9,"ggambetta",[290,287,29,250,10,36],"16912760",[64,292,42,282,65,29],10,[294,292,29,250,10,36],"16912772",[205,296,29,241,206,29],11,[139,298,36,299,140,29],12,"project\u002Fcritical\u002Fexecution",[301,298,29,302,10,36],"16917809","maker\u002Fneutral\u002Fexecution",[304,305,42,306,307,29],"16910195",13,"project\u002Fpositive\u002Fnone","waiseristy",[309,310,42,306,311,29],"16916945",14,"monetus",[313,314,36,315,316,29],"16910401",15,"project\u002Fcritical\u002Fperformance","camhart",[89,314,29,284,10,36],[175,314,32,319,176,29],"project\u002Fneutral\u002Fperformance",[321,314,29,284,10,36],"16912767",[155,216,36,299,156,29],[],[325,330,335,340,345,349],{"id":326,"name":327,"points":328,"category":329},"16912601","Classroomies",360,"consumer_social",{"id":331,"name":332,"points":333,"category":334},"16902628","Wunderscan",330,"productivity",{"id":336,"name":337,"points":338,"category":339},"16884979","cchound",239,"creative",{"id":341,"name":342,"points":343,"category":344},"16902896","Quart",173,"languages",{"id":346,"name":347,"points":348,"category":334},"16876636","Telescope",166,{"id":350,"name":351,"points":352,"category":339},"16902431","NYC Buildings",151,false,"v2",{"id":356,"name":5,"line":5,"ai":353,"cat":19,"year":12,"points":13,"comments":14,"rec":28,"s":29,"top":17,"kw":357,"maker":10,"domain":9,"tier":18,"attempts":29,"strip":358,"url":8,"mix":359,"praise":96,"objection":118,"sub":20},16909714,[23,24,25,26,27],"3050001301050000010130030505050010551031",[31,17,32,31],1794036565401]