IB Math IA: Voronoi Diagrams

This video looks at some different IB math IA ideas using Voronoi Diagrams.

[eeury_]

i literally want to give you the biggest hug right now 😭

[maryalva]

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

[nav]

Thank you, sir! I now know everything I need for a 7.

[pablomorales]

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?

[ritvikagarwal]

Thank you for this video! I am applying this idea in my IA. How do i find the area covered by a coffee shop?

[CorneliaKallblad]

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?

[doncela]

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

[mari-ttx]

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

[saraanees]

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?

[stellacai]

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?

[suzie]

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.

[mateogullon]

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?

[sanyamehta]

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?

[SereneNatureScenes]

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?

[kan]

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?

[razeenanees]

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

[ricecooker]

Hi sir! Was wondering if something like this would be able to score a 7 for AA SL!!

[olympebourgeois]

Thanks for the video! How different does your analysis need to be for a Voronoi Diagram IA to be HL AA Maths?

[juliaqistina]

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

[kamalosama]

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?