Fractal Snowflakes, Symmetries, and Beautiful Math Decorations

[@DrTrefor]

Last video of the year!! Thanks everyone for the awesome ride in 2022, KZbin has such an amazing math community:) And of course I have to bug you all to check out our sponsor brilliant.org/TreforBazett who have been really great to me this past year and looking forward to working with them more in 2023. See you all then!

[@indigan9034]

Hey Trefor. I just got a perfect score on my diff eq final. I definitely could not have done it without your diff eq playlist. You have a gift for explaining for complicated concepts in a way that is easy to understand, but not oversimplified.Thank you so much!

[@DrTrefor]

I’m so happy to hear that!

[@johnchessant3012]

The finite area / infinite perimeter property also holds for some non-fractal shapes too! e.g. Gabriel's horn (the surface of revolution of y = 1/x from x=1 to infinity) which has finite volume but infinite surface area

[@DrTrefor]

Totally! I actually have a video on that one:)

[@chimetimepaprika]

Koch Snowflake and smoking crystal math

[@andrewharrison8436]

WARNING Building the snowflake by gluing on triangles always stays withing a circle around the original triangle. However it becomes infinitely thick and dangerously sharp. Recomended to build it outdoors and wear gloves (or, to be boring, restrict yourself to a finite number of iterations).

[@EdKolis]

My favorite fractal is the Sierpinski triangle, because it's an infinite triforce!

[@jonathanvorster8621]

Cool adding some modular origami!

[@andrewharrison8436]

My goto reference for building maths things is: Mathematical Models by H. M. Cundy and A. P. Rollett Just checked - too much dust on it - time to reread and build. Do like your method of building the snowflake - must try that, which grandchildren can I persuade to help me?

[@RaymondBarbour]

In the snowflake you showed the 3 axis of symmetry. Are there not also another 3 axis of symmetry halfway between each of those? ❄️

[@DrTrefor]

Yes! I think I said verbally there were six but somehow that snowflake with its six points harder to draw the lines for other three.

[@coffeeconfessor4747]

wow..that snowflake idea for dihedral groups was pretty cool... i used dice, but the reflections were a bit harder to grasp...(d&d nerd here) Now, can you make a hyperbolic snowflake?

[@DrTrefor]

Ya I really like that you can actually fold them and see it matches. Hyperbolic would be fun!

[@markiemew]

Saving me from failure during the year and from boredom during break. I love this man

[@real_michael]

I'll definitely be making these to decorate my tree

[@DrTrefor]

Nice!

[@shahkaryyousaf1668]

Sir ,have you uploaded the this type lecture for ""Mothed of substitution to evaluate the integral of the trigonometry """ like integral 1÷a^2-x^2

[@MrConverse]

1:56, the second red triangle, i.e., the first iteration, should have been a different color.

[@TranquilSeaOfMath]

I have build the Menger Sponge and the Mosely Snowflake Sponge Fractals from business card sized pieces. The Mosely Snowflake Sponge I posted a video of on my channel.

[@TyeDougherty]

Mitsubishi Logo

[@juandavidrodriguezcastillo9190]

bravo!

[@TruthOfZ0]

If the perimeter is infinite then in gaming terms this will never be rendered by our current graphics cards due to the insane detail in texture xD

[@dominikpotulski576]

you just set a new thumbnail and I instantly clicked the video

[@DrTrefor]

haha my plan is working lol:D But seriously last thumbnail wasn't working for some reason:D

[@aashsyed1277]

Same me!!

[@EdKolis]

Is there a shape you can rotate by 360 degrees and it's NOT the shape you started with?

[@jonibekabdullayev2289]

Hello, good day Dr. Trefor Bazett! I am Jonibek Abdullayev! First of all, sorry to bother you. Happy New Year. I am your follower on social networks. Please help me to draw a graph from complex analysis in the Latex template. I will send some files to you. I would be very grateful if you could help me. With sincere regards and respect, Jonibek.

[@sussusamogus8860]

Mitsubishi

[@Meksatitram]

mitsubishi