Coding Challenge #112: 3D Rendering with Rotation and Projection

19:00 technically the light source is infinitely far away 19:43 applying the X matrix to the PVector, then applying the Y and Z matrixes is the same as applying a single XYZ matrix. This XYZ is made matmultipling Z with Y and then the result with X. The order matters. Graphically Z×(Y×(X×V)) == (Z×Y×X)×V

I really felt the need to learn how to create 3D from scratch for the sake of my own sanity, so thank you again.

The way this guy speaks and gestures had me on the edge of my seat throughout the video

Not the hero we deserve, but the hero we need

I've been a professional developer for like, 3 years now, but this dude is still too much fun and I wish I had found him in college.

"I'm going to reward myself with a piece of space melon" This is the future :P

Here is a python version for everyone :P Make sure you have gasp and numpy from gasp import * import numpy as np #Settings back = color.BLACK dot = color.WHITE linec = color.GRAY scale = 200 timestep = 0.05 distance = 2 #Dont mess with the ones below centerx = 0 centery = 0 angle = 0 points = np.array([ [-0.5, -0.5, -0.5], [0.5, -0.5, -0.5], [0.5, 0.5, -0.5], [-0.5, 0.5, -0.5], [-0.5, -0.5, 0.5], [0.5, -0.5, 0.5], [0.5, 0.5, 0.5], [-0.5, 0.5, 0.5] ]) def draw(): rotationZ = np.array([ #These have to be inside the function because angle will still static when initiailzing. [np.cos(angle), -np.sin(angle), 0], [np.sin(angle), np.cos(angle), 0], [0, 0, 1] ]) rotationX = np.array([ [1, 0, 0], [0, np.cos(angle), -np.sin(angle)], [0, np.sin(angle), np.cos(angle)], ]) rotationY = np.array([ [np.cos(angle), 0, -np.sin(angle)], [0, 1, 0], [np.sin(angle), 0, np.cos(angle)] ]) projected = [] for v in points: rotatedY = np.matmul(rotationY, v) rotatedX = np.matmul(rotationX, rotatedY) rotatedZ = np.matmul(rotationZ, rotatedX) z = 1 / (distance - rotatedZ[2]) projection = np.array([ [z, 0, 0], [0, z, 0] ]) projected2d = np.matmul(projection, rotatedZ) projected2d = projected2d * scale point(projected2d[0], projected2d[1]) projected.append(projected2d) for i in range(4): connect(i, (i + 1) % 4, projected) connect(i + 4, ((i + 1) % 4) + 4, projected) connect(i, i + 4, projected) def createWindow(): begin_graphics(width=800, height=600, title="3D Renderer", background=back) return 400, 300 def point(x, y): Circle((x + centerx, y + centery), 2, True, dot, 5) def connect(i, j, points): a = points[i] b = points[j] Line((a[0] + centerx, a[1] + centery), (b[0] + centerx, b[1] + centery), linec) def clear(): clear_screen() centerX, centerY = createWindow() centerx = centerX centery = centerY while True: draw() time.sleep(timestep) clear() angle = angle + 0.1

the explanation and the analogy with the shadow were just amazing

AMAZING!!!! If somebody asked me to do this, I wouldnt even dare to try since I thought is super complex... had no idea it can be so easy!!

Exactly the type of information I've been searching for -- thanks for taking the time to make this and explain everything! I'll create something epic in the future with this power

Yes! Thank you Dan, you're making me so happy with these videos! :D

You're so good-natured that you make coding fun.

This video inspired me to code my own 3D modelisation software for my final school project. So thank you so much!

Coding Challenge for you, Daniel: Create a 2D maze (as in your maze challenge), then render it in first person perspective using points and lines as in this challenge. Let the user walk around in it with keyboard clicks and mouse looking. I attempted this years ago in Visual Basic 6.0, without knowing any of this matrix math. It nearly broke my brain.

Shoot, now I'm hyped to try implement this myself... Well, here goes my night

I've been working in 3d game development for nearly 2 years now, and still I learn a lot from your videos! Your work here is a real goldmine, and really accessible to future generations of coders. That's awesome.

This a best explanation i've seen in youtube about this theme. Thank you so much <3

Was doing this at work today, came back to your video for reference. Thanks Dan :D

First nice and easy explanation of 3D rendering I see in my life. Thanks !!!

18:44 "This works to fast" -no programmer ever