r/3Blue1Brown

Thank you for your support! I hope you enjoy rasterization!

Previously, "From Zero to Understanding Ray Tracing":

Part 1: https://www.reddit.com/r/GraphicsProgramming/comments/1uxpi1o/from_zero_to_understanding_ray_tracing/

Part 2: https://www.reddit.com/r/GraphicsProgramming/comments/1wsr77r/from_zero_to_understanding_ray_tracing_part_2/

Part 3: https://www.reddit.com/r/GraphicsProgramming/comments/1wurqmt/from_zero_to_understanding_ray_tracing_part_3/

Let me know what you think!

Source code. Go to the "Output" tab to play with the slop simulation itself.

https://wessengetachew.github.io/Strip2/

Strip Arithmetic II

https://wessengetachew.github.io/Strip2/

I've added a "Preview the math" button to Strip Arithmetic II. Change the grid size, slope, width, or offset, click it, and you get a sheet with the exact numbers behind whatever is on screen. It's all computed live in your browser.

The images attached are those sheets. Each one is the math for that configuration:

Coprime density: on a 10,000 × 10,000 grid, 60.7950% of cells are coprime, against 6/π² ≈ 60.7927% in the limit.

Strips: in the window −1 < 2r − M < 1, the measured density is 0.50005 against a predicted 0.50000.

Hey folks! I am starting a new mini-course on proofs in elementary linear algebra. The target audience is primarily those students who have taken a computation based linear algebra course and now are transitioning to a proof-based linear algebra course. Instead of developing linear algebra theory, we will focus on constructing proofs and writing proofs. Consequently we won't develop the theory much beyond elementary properties of linear transformations.

I am planning to follow Chapter 17 of Chartrand-Polimeni-Zhang; this is an "online only" chapter and is available at https://media.pearsoncmg.com/cmg/pmmg_mml_shared/Chartrand_4e/index.html . I will specifically solve as many problems from there as possible.

If this sounds like something you would benefit from following, here is the github repo I'll be using as the course webpage:

https://github.com/AlpUzman/Proofs_in_Elementary_Linear_Algebra

And I'll add the episodes to the following Youtube playlist:

https://www.youtube.com/playlist?list=PL40ydqvvyXfMwFmNvppWUuE3sgOP1RI5-

On Github so far there is only the 'sittybos' (Greek equivalent of 'syllabus'). I have recorded the first episode already, and I am planning to finish post-production and release it on my Youtube channel in about a week. The mini-course will be freely available on my Youtube channel, with a new episode every other week (tentatively).

I am also attaching a random still from episode 1 as a teaser.

Thanks!