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      <title>7. Inflated sets by </title>
      <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v</link>
      <description>Threads of discussion between MaSuD 2022-2023 students of topic n°7</description>
      <language>en-us</language>
      <pubDate>2022-11-02 14:45:17 UTC</pubDate>
      <lastBuildDate>2023-07-28 18:51:17 UTC</lastBuildDate>
      <webMaster>hello@padlet.com</webMaster>
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         <url></url>
      </image>
      <item>
         <title>Please introduce yourselves. Name, age,institution...</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2366811191</link>
         <description><![CDATA[]]></description>
         <enclosure url="" />
         <pubDate>2022-11-02 14:47:06 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2366811191</guid>
      </item>
      <item>
         <title>Write down the ideas and progress of yourgroup on your topic</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2366812732</link>
         <description><![CDATA[]]></description>
         <enclosure url="" />
         <pubDate>2022-11-02 14:47:46 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2366812732</guid>
      </item>
      <item>
         <title>Get to know us!</title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2376721459</link>
         <description><![CDATA[<div><strong>Hello, we are Sara, Ana and Maria :) we are the students who chose the same topic as you! We are 16 years old, from the romanian city Cluj-Napoca, from “Emil Racovita” National College. We chose this problem because we thought it’s interesting, but now we are a bit stuck </strong>😅<br><br></div>]]></description>
         <enclosure url="" />
         <pubDate>2022-11-09 12:41:12 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2376721459</guid>
      </item>
      <item>
         <title>Hello </title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2387926356</link>
         <description><![CDATA[<div>I am Hugo CAPARROS i am 15 years old, i am to the high school in 10th grade . I am funny and i am very happy to work with you.<br>I like One Piece and the burger<br>We chose this topic because, like you, we found it interesting, but we started getting a little Lost😅😆</div>]]></description>
         <enclosure url="" />
         <pubDate>2022-11-17 08:40:35 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2387926356</guid>
      </item>
      <item>
         <title>hello </title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2387930913</link>
         <description><![CDATA[<div>hello , I'm Noe , I am 15 years old , i am in hight shcool "Val de Durance " , and I am delighted to to share this project whith you.<br>I choose this project because I thought it was simple but unfortunately , everithing is not going as planned.</div>]]></description>
         <enclosure url="" />
         <pubDate>2022-11-17 08:44:42 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2387930913</guid>
      </item>
      <item>
         <title>Geogebra</title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2387931050</link>
         <description><![CDATA[<div>We inflated a square, we wanted to find the air of the figure but we can not. :)</div>]]></description>
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         <pubDate>2022-11-17 08:44:50 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2387931050</guid>
      </item>
      <item>
         <title>Hi :)</title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2420467325</link>
         <description><![CDATA[<div>My name is Maria, I'm an 18 year pupil studying at "Emil Racovita" National College, Cluj-Napoca. I'm keen both on the Arts and the Sciences, so that's why I've chosen this topic - I like to approach things graphically. I'm looking forward to our collaboration :)</div>]]></description>
         <enclosure url="" />
         <pubDate>2022-12-14 12:19:56 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2420467325</guid>
      </item>
      <item>
         <title>Hello😌</title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2420474400</link>
         <description><![CDATA[<div>My name is Karina and I am a senior at “Emil Racovita National College” in Cluj-Napoca. I am really passionate about engineering and I chose this topic because of its real-life applications. I am looking forward to exchanging ideas with you all!</div>]]></description>
         <enclosure url="" />
         <pubDate>2022-12-14 12:27:43 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2420474400</guid>
      </item>
      <item>
         <title>Video conference on Wednesday, January 11 from 1:00 pm to 3:00 pm French time</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2425589309</link>
         <description><![CDATA[<div>Each group will present its results and the research avenues where it will pursue its work. It is a good idea to prepare a slide show to facilitate the presentation.</div>]]></description>
         <enclosure url="" />
         <pubDate>2022-12-20 08:46:51 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2425589309</guid>
      </item>
      <item>
         <title>13/12/2022</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2425592647</link>
         <description><![CDATA[<div>Presentation to an Italian delegation from a Palermo institution</div>]]></description>
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         <pubDate>2022-12-20 08:51:08 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2425592647</guid>
      </item>
      <item>
         <title>Material presented at the video-conference</title>
         <author>nasaudeanmaria</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2456222764</link>
         <description><![CDATA[<div>Hello, I am attaching here a link to the material that we presented during the video conference on Wednesday, January 11th - along with detailing the process for inflating a triangle, a square and a rectangle, we have also looked at some circular shapes, to see how they behave.&nbsp;<br>&nbsp;<br>https://docs.google.com/document/d/1Psmix7amExC0eECwvuSGaPg66lIeGp3b/edit?usp=sharing&amp;ouid=109643918316028335917&amp;rtpof=true&amp;sd=true<br><br>That's it, hope to hear from you soon :)<br>Maria</div>]]></description>
         <enclosure url="https://docs.google.com/document/d/1Psmix7amExC0eECwvuSGaPg66lIeGp3b/edit?usp=sharing&amp;ouid=109643918316028335917&amp;rtpof=true&amp;sd=true" />
         <pubDate>2023-01-25 14:34:52 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2456222764</guid>
      </item>
      <item>
         <title>Inflating a triangle - desmos graph - version 1</title>
         <author>nasaudeanmaria</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2456482398</link>
         <description><![CDATA[<div>Hello, this is the link for a graphic representation of the inflation of a triangle ABC. So far, we've managed to cover in this graph the case where one PARTICULAR side of the triangle (here BC, for convenience :) you'll see why by looking at the coordinates of the points A, B and C, that the orthogonal system, with its origin in B, was chosen so as to make things easier for us) is of maximum length, but we are working on the case where each side can potentially be of maximum length (but for that we'll have to write some more equations, which is a bit time-consuming), so that you can adjust the positions of A and C however you like, and the program still finds the inflated figure for the respective triangle (as I said before, we have only done that for the case where diameter = BC, the simplest one to graph :) ).<br><br>https://www.desmos.com/calculator/avqkjmdvoi<br><br>Hope your reasearch is going well and that you're having a nice day :)<br>Maria</div>]]></description>
         <enclosure url="https://www.desmos.com/calculator/avqkjmdvoi" />
         <pubDate>2023-01-25 17:06:38 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2456482398</guid>
      </item>
      <item>
         <title>Hello guys!</title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460350174</link>
         <description><![CDATA[<div>My name is Gliga Iancu and I am 16 years old. I am student at "Emil Racovita" National College, from Cluj-Napoca. I am intersted in maths and I decided to take part in this project because I wanted to analyse different typs of graffics. For me, it is such a plessure thinking about math problems and findind answers and solutions. So, here I am :).</div>]]></description>
         <enclosure url="" />
         <pubDate>2023-01-29 15:13:38 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460350174</guid>
      </item>
      <item>
         <title>Infalting figures</title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460377066</link>
         <description><![CDATA[<div>We came with the idea of inflating a figure (for example a triangle, or a square and so on) and we discovered that any point we take from the part between arches will not change the diameter of the figure. I will send you a photo.<br>Gliga Iancu</div>]]></description>
         <enclosure url="" />
         <pubDate>2023-01-29 15:57:10 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460377066</guid>
      </item>
      <item>
         <title></title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460377265</link>
         <description><![CDATA[<div>Gliga Iancu</div>]]></description>
         <enclosure url="https://padlet-uploads.storage.googleapis.com/1948259585/dfe4c09c5255e8917be479e92c4e687b/Infalted_figures.docx" />
         <pubDate>2023-01-29 15:57:33 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460377265</guid>
      </item>
      <item>
         <title></title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460379844</link>
         <description><![CDATA[<div>So, as you can see any point we will choose beetwen arches AB, BC, CD and AD will not change the diamater of the figure. Hope to hear from you soon.&nbsp;<br>Gliga Iancu<br><br></div>]]></description>
         <enclosure url="" />
         <pubDate>2023-01-29 16:01:59 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460379844</guid>
      </item>
      <item>
         <title></title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460383037</link>
         <description><![CDATA[<div>Hello, Maria!<br><br>I wonder why I obtained different arches between the sides of the square.&nbsp;<br>Gliga Iancu</div>]]></description>
         <enclosure url="" />
         <pubDate>2023-01-29 16:07:20 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460383037</guid>
      </item>
      <item>
         <title></title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460383673</link>
         <description><![CDATA[<div>I can see that in the chapter "Steps for inflating a square", at number 5.<br>Iancu</div>]]></description>
         <enclosure url="" />
         <pubDate>2023-01-29 16:08:24 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460383673</guid>
      </item>
      <item>
         <title></title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460414275</link>
         <description><![CDATA[<div>Hello guys, I am going to send you another project we have worked on it.<br>Gliga Iancu</div>]]></description>
         <enclosure url="" />
         <pubDate>2023-01-29 16:55:17 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460414275</guid>
      </item>
      <item>
         <title></title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460414715</link>
         <description><![CDATA[<div>Gliga Iancu</div>]]></description>
         <enclosure url="https://padlet-uploads.storage.googleapis.com/1948259585/e8e39940328b93ea6283bf2c60591c07/Infalted_figures.docx" />
         <pubDate>2023-01-29 16:56:00 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460414715</guid>
      </item>
      <item>
         <title>Inflating a triangle - desmos graph - version 2</title>
         <author>nasaudeanmaria</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460492740</link>
         <description><![CDATA[<div>Hello, if you've seen the first variant of the desmos graph, you know that that was, for triangle ABC, for the case where BC = d. We have returned with the cases BC = d or AC = d (AB = d is more complicated it needs more work). Here's the graph:<br><br>https://www.desmos.com/calculator/vx4l01rop6<br><br>Hope you're having a nice day :)<br>Maria</div>]]></description>
         <enclosure url="https://www.desmos.com/calculator/vx4l01rop6" />
         <pubDate>2023-01-29 18:57:29 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460492740</guid>
      </item>
      <item>
         <title>@ Iancu Gliga</title>
         <author>nasaudeanmaria</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460500384</link>
         <description><![CDATA[<div>Hi, couldn't help but notice that our inflated figures for triangles differ. Was wondering if you noticed that the maximum distance from two points on your figures, as shown in the photo with the red line, is much greater than de diameter of the initial (rught-angled) triangle, as shown (here) in green. I didn't notice anything other and that and your research and figures are quite impressive.<br>Maria</div>]]></description>
         <enclosure url="https://padlet-uploads.storage.googleapis.com/1472562692/c4e4123ef590e3f034750a782b98c1b0/Screenshot_2023_01_29_210527.png" />
         <pubDate>2023-01-29 19:09:34 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460500384</guid>
      </item>
      <item>
         <title>@ Iancu Gliga</title>
         <author>nasaudeanmaria</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460503776</link>
         <description><![CDATA[<div>Hi! So we took a look at the figure from the requirement of the problem, and upon further analysis we discovered that indeed (and a bit counter-intuitively) that was the inflated set for a square. We then tried to retrace the steps by which the figure was initially obtained, noticing that it indeed met all the criteria of an inflated set. I'll take a look at your figures more closely, to maybe see why our figures are different and if I manage to find some conclusive evidences as to why our figures are different, I'll get back to you.<br>Maria</div>]]></description>
         <enclosure url="" />
         <pubDate>2023-01-29 19:14:02 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460503776</guid>
      </item>
      <item>
         <title>Hi!</title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460550732</link>
         <description><![CDATA[<div>My name is Alex. I'm 17 and I'm studying at Emil Racovita National College in Cluj. I chose this problem because it looked like it could potentially have a nice and clean geometric proof, but it seems that I was wrong, and I am now more confused than anything.</div>]]></description>
         <enclosure url="" />
         <pubDate>2023-01-29 20:36:22 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460550732</guid>
      </item>
      <item>
         <title>Hello everybody!👋🏻</title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460564320</link>
         <description><![CDATA[<div>My name is Luca, I'm 17 years old and I study at Colegiul National "Emil Racovita" in Cluj, Romania (I suppose some of you have never heard of Cluj before, but trust me, it is a great city). I have always took pleasure from mathematics and this problem has proven quite fascinating. It is a lot more challenging than i had anticipated, but that's where the fun comes from!<br>I look forward to working with you🫡</div>]]></description>
         <enclosure url="" />
         <pubDate>2023-01-29 21:02:39 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460564320</guid>
      </item>
      <item>
         <title>Hi!</title>
         <author></author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460576314</link>
         <description><![CDATA[<div>I've taken the freedom to post the material regarding the diameter of a convex polygon that we presented with the occasion of the videoconference.<br>-Alex</div>]]></description>
         <enclosure url="https://padlet-uploads.storage.googleapis.com/1946648425/777fdf939028a4f57a25894872417313/Diameter.docx" />
         <pubDate>2023-01-29 21:25:18 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2460576314</guid>
      </item>
      <item>
         <title>Article and photos on the Val de Durance high school website</title>
         <author>proalh</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2462042640</link>
         <description><![CDATA[<div>https://www.lyc-valdedurance.ac-aix-marseille.fr/spip/spip.php?article3118<br><br></div>]]></description>
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         <pubDate>2023-01-30 20:10:32 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2462042640</guid>
      </item>
      <item>
         <title>10/01/2023</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2462056019</link>
         <description><![CDATA[<div>Presentation to the Val de Durance High School researcher.<br>Yves PAPEGAY - INRIA Sophia Antipolis</div>]]></description>
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         <pubDate>2023-01-30 20:22:07 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2462056019</guid>
      </item>
      <item>
         <title>20/03/2023</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2529409061</link>
         <description><![CDATA[<div>Presentations at Marcel Pagnol College</div>]]></description>
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         <pubDate>2023-03-23 19:54:50 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2529409061</guid>
      </item>
      <item>
         <title>Documents for the common presentation at the Nice Congress</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2529409726</link>
         <description><![CDATA[]]></description>
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         <pubDate>2023-03-23 19:55:38 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2529409726</guid>
      </item>
      <item>
         <title>MaSuD</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2529410014</link>
         <description><![CDATA[]]></description>
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         <pubDate>2023-03-23 19:56:03 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2529410014</guid>
      </item>
      <item>
         <title>MeJ</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2529410223</link>
         <description><![CDATA[]]></description>
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         <pubDate>2023-03-23 19:56:21 UTC</pubDate>
         <guid>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2529410223</guid>
      </item>
      <item>
         <title>ERASMUS</title>
         <author>hubertproal</author>
         <link>https://padlet.com/hubertproal/rmz2kgtpgi2p8m0v/wish/2529410526</link>
         <description><![CDATA[]]></description>
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         <pubDate>2023-03-23 19:56:42 UTC</pubDate>
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