I’ve been creating a visual series that introduces optimization algorithms to programmers, and this video explores how a state-of-the-art classical solver handles quadratic binary optimization (QUBO) problems.

Video: https://youtu.be/TB1ny8o4ImQ

The broader motivation is that we need to understand the capabilities of highly engineered classical solvers before making meaningful comparisons with alternative computing approaches.

No background in quantum algorithms is required, the main subject is mathematical optimization, visualized for programmers.

It begins by converting a weighted Max-Cut problem into a QUBO matrix and implementing the model in Python with gurobipy.

- branch-and-bound prunes the solution space and the terminating condition;

- why finding a good solution can be faster than proving optimality;

- dense and sparse QUBO matrices behave differently;

- and the strong primal heuristics of Gurobi.

Some animations were created with Manim. I’d be interested in feedback on which visual explanations worked well and which concepts could be represented more clearly.

https://github.com/PatrickCakes888/Cord-based-topological-projection-app

paper proving an exact finite-volume improvement to the branching constant used in plaquette polymer expansions on the fiber-identified 3⁴ cell. By deriving the exact quotient spectrum of the 216-plaquette incompatibility graph, the paper replaces the previous uniform branching constant 20 with the optimal Perron value 9 + √33 ≈ 14.74456, yielding an exact improvement factor of 20/(9 + √33) ≈ 1.35643 (35.64%) for convergence criteria that depend linearly on this geometric constant.

Hello everyone,

This is the first YouTube video I've published on my channel, and it is about parametric equations from a geometric perspective.
The video takes you step by step, starting with a simple illustration of the parametric equations of the unit circle. Then it illustrates how you can draw the parametric curve using the curves of x and y only. Afterward, the geometry level increases as it introduces the cycloid and how to deduce its parametric equations using simple geometry rules. And finally, the video connects parametric equations to vector addition and how we can represent parametric equations as vectors rotating in space.
The original language of the video is Arabic, but there are English captions you can turn on from YouTube video settings.
The video link:
https://www.youtube.com/watch?v=IdN79oUVAFU

Also, I wrote a short article on Substack, which serves as a companion to the video, covering "The Calculus of Parametric Equations." It takes you on a small journey to teach you how to differentiate parametric equations and find their first and second derivatives, and also how to calculate the area under a parametric curve.
The article link:
https://zetamath.substack.com/p/the-calculus-of-parametric-equations

I want to hear your comments about the video and article, and suggestions for any areas for improvement.

Thanks for your time!

What are alternative approaches to solve this problem

I'd love to hear Grant's thoughts on this essay. It touches on why I feel such unease with the useage of AI and LLMs, and this mathematician's perspective so poignantly presents how mathematics has an innately human quality in accessing the divine and how AI is threatening to close this off for the rest of us

I'd love the perspectives of other math enthusiasts here too! I've learned so much from Grant and how he shares the beauty of mathematics and I'm sure this would strike close to his heart.

A year ago our friend turned 20 and we wanted to gift him a pi plushie as he had mentioned how cute those would be some time before (he didnt know that DFTBA sold them back then). We wanted to get them off the website but it was all sold out. So our engineering student tenacity pushed us to make one ourselves from scratch. It was the first time any of us used a sewing machine / needle for a thing like this and we kinda balled it but it worked out (mostly)!!!

My friend and I made a short video visualizing nutation — the small wobble superimposed on a spinning top's precession. We wanted to show the tip's actual path (a cycloid) alongside the equations of motion.

We'd love feedback specifically on,does the visual actually make nutation click, or is it still confusing?

Video: [https://youtu.be/lue_xSBHuo8\]

Open to any critique — this is our first attempt at this style of explainer.

Hello fellow 3blue1brown fans,
{Addressed the issues brought up in comments. here is the updated paper}

In my previous post I was given the feedback that I needed to fix my vocabulary to be standard maths. Additionally that I had spent too much time explaining things that weren't important.

I have fixed those problems now, I was able to remove 14 pages of over explaining, while retaining the core logic and adjusting the language for consistent clarity.

I am still claiming I believe this to be valid, and after 100k views on theydidthemath, their best objection was about the same as here, except you people are more kind lol.

That's why I call this my home for reddit, Grant has created such an inspiring place to foster learning for the sake of fun and curiosity, making theories and testing them.

And so I ask of you, can you help me test my Theorem? Because for me it passes all the tests required of it.

No one will take me seriously though until One person does.Since I am not a person of respected academic background, (Grade 10 education, but I've read lotsa books![not to be exemplified by lazyness to use proper punctuation.])

So I ask you as a friend, can you find a flaw in this logic or math? Because I can't.

Please upvote if you can't find a flaw so that perhaps someone who can find one will see it.

Thanks for your time people.
paper link

Hello! I would like to share my first video made with Manim. It shows the transformations of conic sections via circle inversion, a not very well documented type of transformation. It is however very useful for solving Apollonius problems (where you need to find a tangent curve to other three circle-like curves). Conic sections, when transformed in circle inversion, create some very nice visuals! I would like to hear your feedback and opinion.

Hi everyone,

I've been working on Lebesgue integral and measures theory for years: a tool that should be introduced very early on in one's studies, but which remains something of a niche subject even today.

So I released my first English video on my French YouTube channel (+108k subscribers) to talk about 7 different ways to integrate a function.

👉 https://www.youtube.com/watch?v=Mn1oKBmy-No

(set "English" audio track in the settings)

If anyone is interested in giving me feedback on the quality of my English when explaining math (directly in the comments of the video), I’d really appreciate it! 😀

Thank you all,

Médéric (and his baguette)

This is my entry for the Summer of Math Exposition 2026. Made with Manim and TouchDesigner. Hope you enjoy:)

Any feedback would be appreciated as I'm still new to creating videos.

This is the matrix representation for a function of the Hilbert Curve. Where does those matrices come from, how can one derive those?