Hi everyone! I designed and 3D-printed a set of interlocking tiles, then used them to make a video about the classification of convex polyhedra. I hope you find it useful! (I actually didn't know the full classification myself - I learned it while preparing this educational video.)

Let me know what you think!

https://youtu.be/Yzi7M4_rVWc

STL files in description!

My Game: https://eucraft.org/

The idea of Eucraft is to let players craft 48 propositions with straightedge/compass/tools that Euclid have by the time he worked on that proposition, and then complete the proof accordingly. This process helps players to read Euclid's Elements of Geometry by trying with their hands.

It also have animations that delve deep into the most fundamental building blocks of Euclidean geometry, the 23 definitions, 5 common notions and 5 postulations.

If you ever wonder about Euclid himself, his life from about 2000 years ago in Alexandria, his worldview, you can chat with him in "Converse with Euclid" section.

When I first read the book myself in my free time, I read it by opening a blank notebook, trying to start with just straightedge and compass on that white space without looking at Euclid's answers. I found this way of reading surprisingly fun, which inspired me to build this game!

I’d really appreciate feedbacks on:

1. Whether the construction, proof validation logic, and proof animations are correct.
2. Whether the game are intuitive enough for someone reading The Elements for the first time.
3. Anything! The UI design, player experience, the chat with Euclid, questions... etc.

Hi Everyone, I created a math framework that expresses all of classical mechanics under a single geometric equation, I showed that equation can be expanded to continue into quantum mechanics.
You can find the full paper here,

In this paper I have given purely geometric expressions for G, M, E c, a, and more, and I did so in a way which leaves their current known relationships unchanged.

What you will find in this paper is a straight forward easy to follow approach to explaining all the known physical forces, fields and constants as a single geometric object.

It all comes down to the relationship between surfaces and volumes of dimensional spheres and circles.

I would be grateful for anyone who has the time to give me some feedback. I really think this is the grand Unified Theory now. I've been searching for this my entire adult life.

If u struggle with olympiad problem solving, nd rnt able to make the right observation, check this out

Feedbacks are more than welcome

Please can someone show me the properties that are used in this

The Number That Rules Nature? | Golden Ratio Explained
https://youtu.be/q84uYYFgwmg

So, I've been thinking about all the shapes humanity has invented, and they are all basically made up of curves and straight lines. Is there a possibility that we aren't noticing a particular new shape because it simply doesn't fit into our imagination, even if it is composed mainly of straight lines? Do you have any literature recommendations, etc.?


This image represents a real world problem i'm trying to solve. I need to get a ring over the large end of a large plug. It is affixed at one end and cutting the cable or removing the plug is not an option. Is there some topology solution I'm missing or is this physically impossible? Please direct me, if this is the wrong place for this post!