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Presentation at the MATh.en.JEANS congress at the University of Nice

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Documents for the common presentation at the Nice Congress

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Documents for the common presentation at the Nice Congress

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Presentations at Marcel Pagnol College

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Presentation to the Val de Durance High School researcher.
Yves PAPEGAY - INRIA Sophia Antipolis

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Article and photos on the Val de Durance high school website

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Article and photos on the Val de Durance high school website

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https://www.lyc-valdedurance.ac-aix-marseille.fr/spip/spip.php?article3118

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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.
-Alex

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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!
I look forward to working with you🫡

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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.

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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.
Maria

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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.
Maria

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Inflating a triangle - desmos graph - version 2

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Inflating a triangle - desmos graph - version 2

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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:

https://www.desmos.com/calculator/vx4l01rop6

Hope you're having a nice day :)
Maria

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Gliga Iancu

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Hello guys, I am going to send you another project we have worked on it.
Gliga Iancu

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I can see that in the chapter "Steps for inflating a square", at number 5.
Iancu

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Hello, Maria!

I wonder why I obtained different arches between the sides of the square.
Gliga Iancu

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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.
Gliga Iancu

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Gliga Iancu

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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.
Gliga Iancu

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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 :).

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Inflating a triangle - desmos graph - version 1

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Inflating a triangle - desmos graph - version 1

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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 :) ).

https://www.desmos.com/calculator/avqkjmdvoi

Hope your reasearch is going well and that you're having a nice day :)
Maria

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Material presented at the video-conference

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Material presented at the video-conference

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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.

https://docs.google.com/document/d/1Psmix7amExC0eECwvuSGaPg66lIeGp3b/edit?usp=sharing&ouid=109643918316028335917&rtpof=true&sd=true

That's it, hope to hear from you soon :)
Maria

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Presentation to an Italian delegation from a Palermo institution

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Video conference on Wednesday, January 11 from 1:00 pm to 3:00 pm French time

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Video conference on Wednesday, January 11 from 1:00 pm to 3:00 pm French time

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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.

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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!

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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 :)

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We inflated a square, we wanted to find the air of the figure but we can not. :)

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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.
I choose this project because I thought it was simple but unfortunately , everithing is not going as planned.

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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.
I like One Piece and the burger
We chose this topic because, like you, we found it interesting, but we started getting a little Lost😅😆

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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 😅

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Write down the ideas and progress of yourgroup on your topic

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Write down the ideas and progress of yourgroup on your topic