Access all videos at mrflynnib.com. This video looks at some different IB math IA ideas using Voronoi Diagrams.
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@MrFlynnIB Жыл бұрын
Lessons on every topic, all IA videos and full past paper solutions at mrflynnib.com.
@eeury_ Жыл бұрын
i literally want to give you the biggest hug right now 😭
@nav62232 жыл бұрын
Thank you, sir! I now know everything I need for a 7.
@maryalva39922 жыл бұрын
Amazing video! you literally saved me cause i am doing my whole ia in a night! you helped me so much more than my actual teacher haha
@MrFlynnIB2 жыл бұрын
Thanks although I definitely would not recommend doing your whole IA in a night.
@anneta8713 Жыл бұрын
me rn my ia due tomorrow and I dont even have the topic rip
@saraanees9974 Жыл бұрын
Amazing video sir! How do we find out if a particular site has the largest distance as equidistance? is there any way to find this out through geogebra?
@user-mp1ik8mz4p Жыл бұрын
thank you for this video! I have a question: for my IA i am looking at one specific location and trying to determine a university closest to this point. how can i incorporate accommodation to add a 'new site'? how would this work? Many thanks
@olympebourgeois73242 жыл бұрын
Thanks for the video! How different does your analysis need to be for a Voronoi Diagram IA to be HL AA Maths?
@MrFlynnIB2 жыл бұрын
Technically a 20/20 SL Voronoi Diagram IA should achieve 18/20 in HL. The difference is in the last criterion where you have to use maths that is beyond the SL course and in the HL course in order to achieve 5 or 6 out of 6.
@mateogullon30922 жыл бұрын
Great video sir. It is certainly a pity that Messi has left Barcelona (I am from Spain and we suffer it first hand). Just a question (maybe a bit unrelated to this video), can I use LaTeX to write my IA? Would it help to maximize criteria A/B?
@MrFlynnIB2 жыл бұрын
Thanks. Yes, shame about Messi. La Liga will really suffer without him. Definitely you can use LaTex. I would actually recommend it for everyone but it takes a long time to get good with it. Do you know how to use it already?
@mateogullon30922 жыл бұрын
@@MrFlynnIB Yes, I do!
@thomaspep97062 жыл бұрын
Hi, thanks for the video. I want to know if this topic can be used in a IA of HL? because it is kind of simple. Or how can I combined it with HL topics, thanks
@MrFlynnIB2 жыл бұрын
I think there is a good opportunity here to combine it with adjacency tables, Chinese postman problem and/or the travelling salesman problem. I might do a video on this at some point in the future but have a look and see if you can come up with an idea and then let me know.
@sanyamehta40732 жыл бұрын
Hi Mr Flynn, this video is very helpful! I was wondering if there is a way to start with the perpendicular bisectors of the voronoi diagram, find their equation and from there find the sites (I am looking at creating new train stations based on population). Is there such a thing as an inverse voronoi diagram?
@MrFlynnIB2 жыл бұрын
Ya that sounds like an interesting idea. Sure, if you have a straight line you can put in two sites either side of the line but with the same distance.
@sanyamehta40732 жыл бұрын
@@MrFlynnIB Thank you so much!
@jelenacerkez6480 Жыл бұрын
Dear Sanya, have you by any chance figured this out? I
@user-wh4vv5me5n11 ай бұрын
How would we comment on the borders being out of range for the circle on the vertex? would you put it in assumptions of the exploration or..? Could you also please expand on what you meant in a bit more detail?
@juliaqistina5982 жыл бұрын
hi! i was wondering if doing an ia regarding which ice cream shop is the nearest to my house and what is the maximum duration i have before i return back home in order to make sure that the ice cream does not melt is ok? im planning to use voronoi diagram to figure out which ice cream shop and perhaps some calculus to find the said duration of time. i was wondering if i could fit in graph theory somewhere. your reply would be greatly appreciated xx
@MrFlynnIB2 жыл бұрын
Are you SL or HL? I would probably suggest to stick with either Voronoi (if SL) or Graph theory (if HL). Hard to get them both in the same paper and keep it concise? Also I would try to improve your aim. To find the closest ice-cream shop, you don't need a Voronoi diagram. You can just calculate the distance. Voronoi diagrams are useful because you can find the closest ice-cream shop to every point on the map, not just one. Also maybe you want to open an ice-cream shop. Voronoi diagrams are useful for that too. For Graph theory, maybe you want to visit every ice-cream shop in town in the shortest time. Something like that.
@stellacai39502 жыл бұрын
Thanks for the video. I was planning to do sth similar and found this great video. I do have one question. I was concerned that creating a Voronoi diagram with so many sites would be difficult. but since Geogebra can just create one automatically then how am I going to show my math workings. Shall I calculate all the perpendicular bisectors and construct it on my own?
@MrFlynnIB2 жыл бұрын
My advice would be to show your working for one or two perpendicular bisectors, to demonstrate that you understand how it works and then just let Geogebra calculate the rest.
@stellacai39502 жыл бұрын
@@MrFlynnIB Thanks!
@dominiquecastaneda97902 жыл бұрын
hi thanks for the video! how would u go about finding the largest circle- is there a systematic way to find all combinations or would it just be trial and error ?
@MrFlynnIB2 жыл бұрын
The largest circle would be the one with the largest radius. You can find the radius fairly easily using distance between two points. No systematic way. I would show the working for one and then use your calculator for the others.
@dominiquecastaneda97902 жыл бұрын
@@MrFlynnIB thank you for this. another thing to clarify, u mentioned that this was appropriate for an aa student. does that mean the math in this video alone is sufficient despite voronoi being from the ai course?
@MrFlynnIB2 жыл бұрын
@@dominiquecastaneda9790 AI and AA are considered the same level by the IB so if it is ok for AI then it is ok for AA.
@doncela77296 ай бұрын
Thank you, sir! I was wondering if there's a way to elevate the complexity of this for an Internal Assessment, as the current mathematical concepts seem too basic for the depth required in a math IA
@MrFlynnIB6 ай бұрын
You could add some graph theory maybe.
@pablomorales38212 жыл бұрын
Hi, thanks for the video, im coursing the SL maths but don't you think there are very low use of maths, like literally you just have to use 4 formulas or less and that's it. This can align for a 6/6 in use of maths?
@MrFlynnIB2 жыл бұрын
To get 6/6, you need the following: 'Relevant mathematics commensurate with the level of the course is used. The mathematics explored is correct. Thorough knowledge and understanding are demonstrated.' Voronoi Diagrams is commensurate with the level of the course. Criterion E isn't just about how many equations you use or how difficult they are. It is about demonstrating understanding throughout the whole IA. It is difficult to get 6/6 with any topic but certainly possible with this topic.
@pablomorales38212 жыл бұрын
@@MrFlynnIB Oh, thanks!! that was really bothering me.
@suzie61357 ай бұрын
I don't understand the circle and radius part. If this video is an example and we have C, D, E, F, G, H, I, J, does it mean that we do a circle for every combination of points that creates a triangle? In the video there is: GFH, but do we later make: GCH,GDF,GDE,GEF,GHI,GFI, etc. for every point and then calculate a radius for each one? And what if a circle comes out to be very big and its center is on the outskirts of city (I am looking for a place to build a store and would like it to be as near the city center as possible) do we just ignore this circle? And if we make a voronoi diagram and then calculate the biggest radius, is there anything more to calculate because it seems a little too easy and too little for 15-20 pages.
@MrFlynnIB7 ай бұрын
No you only do a circle for each vertex. So in this example, there would only be 7 circles. The circles will go through the 3 closest points (sites) and the vertex will be the centre. Check out my videos on voronoi diagrams. They explain it better. kzfaq.info/get/bejne/ea-FhMiQxs7RgGQ.html and kzfaq.info/get/bejne/iNGfaJur0t_ThIE.html
@suzie61357 ай бұрын
@@MrFlynnIB Thank u so much, I really appreciate that you respond to comments
@raphaela80002 жыл бұрын
Hi Mr Flynn, these videos have been very helpful! I am interested in doing my IA on affordable places for students to eat around my school. I would like to take a look at the best spot for a new shop to open and perhaps look at how much they should price their food at? (I could gather some responses from my friends on how much they are willing to pay) Is it sufficient enough for a HL IA? Thank you so much!
@MrFlynnIB2 жыл бұрын
It's enough to get 4/6 for criterion E. Is there any HL only maths that you are can use?
@ritvikagarwal5739 Жыл бұрын
Thank you for this video! I am applying this idea in my IA. How do i find the area covered by a coffee shop?
@MrFlynnIB Жыл бұрын
You could break the cell up into different triangles and then find the area of the triangles.
@ritvikagarwal5739 Жыл бұрын
@@MrFlynnIB Just saw your reply! I am finished with my Maths IA and it is about Voronoi diagrams. Thank you so much for giving this idea. Lifesaver!
@valerybaker8100 Жыл бұрын
@@ritvikagarwal5739 Hello. I am probably late but for what did you use area covered by a coffe shop
@razeenanees32513 ай бұрын
Hello , so I am using vornoi diagrams along with equations of circle as an hl AI student for analyzing the reach of hospitals , could I make this further to showcase where all I could build a hospital ? Can you suggest any extra concept to be utilized together
@razeenanees32513 ай бұрын
Well I am using it with regards to proximity , so any idea on what concepts I could use as an extension to vornoi diagrams with where I could build hospital stations to address all the city members
@king_lionel49692 жыл бұрын
How would you get the radius of the circle
@MrFlynnIB2 жыл бұрын
It's the distance between the vertex and one of the points. Use the distance between two points formula.
@kamalosama18 Жыл бұрын
Hi, thanks for the video. I was wondering if I could use voronoi diagrams to evaluate the position of public bike stations in my city would that be possible?and how?
@MrFlynnIB Жыл бұрын
Ya sounds like a very good idea. The bike stations would be the sites.
@kamalosama18 Жыл бұрын
@@MrFlynnIB yes I understand that but how would I evaluate the positions of the locations?
@annaskorzynska383 Жыл бұрын
@@MrFlynnIBi have the same problem
@MrFlynnIB Жыл бұрын
@@annaskorzynska383 and sorry Kamal. I missed this. This is not the only way to do it but I would choose the positions myself by thinking about how many I need/have and then create the Voronoi Diagram. Then you could reflect and decide maybe to move a few so as to spread the space more evenly.
@diogobatista83042 жыл бұрын
For maths AA would you recomend to do this topic or the normal distribution (running times). I only have two months for the draft delivery and i recently needed to change the previous topic so i don´t have much time. also noticed that normal distribuiton is on syllabus of AA unlike voronoi wich is in IA Thank you
@MrFlynnIB2 жыл бұрын
Both are fine. You can do a Voronoi Diagrams IA even if you are AA. However maybe normal distribution would suit better as you have studied (or will study) the topic.
@diogobatista83042 жыл бұрын
@@MrFlynnIB Thanks for the reply I really appreciate it
@heraatravels Жыл бұрын
Hi @MrFlynnIB you are a saviour!! thank you for the amazing video and explanation, I am implying this idea in my IA in looking for nearest hospital, after working on the Voronoi diagram and finding radius I am getting a little stuck, would you guide me a bit where to go on from there? It's for AI SL level, would only Voronoi be sufficient for SL, I have found perpendicular bisectors of all the hospitals located in the city, should show all of the perpendicular bisectors locations and data in my paper like in the form of excel sheet?
@stellacai3950 Жыл бұрын
I came across the same question. Only drawing the Voronoi diagram and the largest circle would not be enough (not gonna be more that 10 pages)
@MrFlynnIB Жыл бұрын
I would need to see the IA to advise properly. Ask your teacher to have a look and guide you.
@ricecooker90249 ай бұрын
Hi sir! Was wondering if something like this would be able to score a 7 for AA SL!!
@MrFlynnIB9 ай бұрын
It's possible if it is really good.
@kan16422 жыл бұрын
Hello, I have found your video very useful, and came up with an IA topic - I want to plot a voronoi diagram based on the locations of exotic animal veterinary clinics in my city and in the near vicinity (I have 8 of them). I want to determine which one is the most accessible by public transport by analyzing the number of tram and bus stops in the near vicinity of a given clinic - compare for all of them and see which one has the largest number of stops near it. I also want to determine where the best place for settling would be based on the closest vicinity to 3 clinics (based on the smallest radius circle), and where the most optimal place for a founding of a new clinic would be based on the largest radius circle. However, I fear that the investigation would be too simple, could you give me your insight, please?
@MrFlynnIB2 жыл бұрын
I think it sounds great. It doesn't sound too simple to me. Are you SL or HL?
@kan16422 жыл бұрын
@@MrFlynnIB SL, I consulted my teacher regarding this topic and he also said that it sounds great. However, the math in it doesn't seem to be very complicated and I'm kind of wary when it comes to pursuing it. My other idea was to model population growth of a specific animal but i haven't researched it yet at all.
@MrFlynnIB2 жыл бұрын
@@kan1642 It is complicated enough. Is it commensurate with the level of the course? Yes. Voronoi Diagrams is part of the course. Your teacher likes it. You like it. Go for it.
@kan16422 жыл бұрын
@@MrFlynnIB Thank you for the response to my prior comment. As of now I the plan of my work only contains the creation of the voronoi diagram itself, finding the location nearest multiple clinics and using toxic waste dump problem. Would have any idea if there is anything else I could possibly add into my work? Thanks in advance :)
@aiatajutar8427 Жыл бұрын
@@kan1642 Hi! I am working on my IA on Voronoi diagrams too. One thing I am doing to extend my knowledge and show I can apply it because I do AI SL is, finding an area where there is a lack of whatever you are researching. So for you, you could look at areas where vet clinics are far or unreachable and create a new clinic from the data. This would show a great extent of knowledge as you would have to look at the real-life context of where there is space but you would also have to calculate the mean area, the shape of the new clinic, and, the accessibility by public transport if you are still doing that.
@amanatmultaniiio44898 ай бұрын
Hi sir! Originally you imported the graph on geogebra and then plotted the points after. Can I plot my points on google maps first, take a screenshot and import that? If it's unclear i'll plot it again with geogebra
@MrFlynnIB8 ай бұрын
Out of interest, why do you need to do that? You could export the image into same app where you can draw like OneNote. Then plot the points and then take the screenshot.
@amanatmultaniiio44898 ай бұрын
@@MrFlynnIB I'm not sure how to do it because my ia topic is about finding the best party venue using voronoi and graph theory. Using google maps i first found the locations of all the venues and then i imported the image on geogebra and plotted the points again because I wasn't sure if i could plot them on geogebra without knowing where they were.