SPOILER: It's really cool

Thanks a lot! maybe in a few hours i can understand the concept of quaternion, if my brain don't explode before it

legend

Graphical "Colossal Cave Adventure" :)

Me want know how make quaternion relative to other quaternion

5:21 şiş kebap dediği yerde koptum 😅güzel betimleme olmuş

Why have all the kiddies started talking in that weird exaggerated wayje

You are comparing how multiplication works in quaternions with how addition works in 3D vectors. But the quaternions still also have addition with an additive identity and additive inverses and behave just like 4D vectors in that sense. You saying that quaternions have multiplication "instead" of addition will make people feel they understand things when they'll just get horribly confused if they delve any deeper. Also, the two systems do not have different notions of an "origin". You are confusing the idea of an origin in the sense of (0,0,0) or (0,0,0,0), i.e., a coordinate system, with the idea of identity with respect to some transformation. When we say that one times two equals two, and two times 1/2 equals one, we don't call "one" the "origin". It's the same in any higher-dimensional number system. I like the Rubik's Cube demo though.

Hey bro when you going to post again

The end of this video was enlightening I thank you !

Really cool to use rubik cube

A vector also has a magnitude 🤓

This is a very clever presentation that does a great job of making the non-commutitive nature of Q's intuitive.

instructions unclear solved a rubik's cube with quaternions

can someone explain me how to interpretate the components in a cuaternion? like a + ib + jc + kd i can only think about a, b, c, d as a 4d vector, like (a, b, c, d), how does that ends up being a rotation?

Example at 9:17 helps understanding how quaternions inverses can be used but I'd probably just add to pos_A some offset_vector multiplied by transform_matrix_A. Or it can even be just 1 basis vector from transform_matrix_A multiplied by offset magnitude (in case if we're sure about the axis). Unsure though how much quaternions more efficient than matrix multiplication. Multiplying matrix by vector typically takes 9 multiplications and 3 adds, don't know about the quats. PS Love the shish kebab metaphor 😂

As a belarussian who lives in Siberia I think thats a great reason to buy srbr

This is a very unique take on the path to understand what quaternions are. It helps a lot . Thank you

Hey Alex. I recently got the platinum for super meatboy which took me 2 months and was a pain and I kinda want to Go for srbr's platinum trophy in the future, if I do, wish me luck.

Super rude bear resurrection 2 when

This is a very good tip on how to visualise these damn things! Not there yet but this certainly helps a ton!

using cub to do quaternion explanation is just genius. many thanks

i like the title

👌👌👌

it's frustrating that it's all about the gimbal lock. People need to start thinking about whether they can rotate at points other than the x y or z axis with a gimbal.

you didn't explained quaternions at all, you explained basic rotations, and transformations, the whole point of quaternions is avoid gimbal lock, so it never ever happen, you introduced your videos with that premise and the whole time you didn't tackle the subject.

Just what I needed :) I've been struggling to understand quaternions mathematically, so just to understand how to use the tool is good enough for me for now.

Also here from reddit. Damn dude you smart

I have been making games in unity for around 5 years now and there is absolutely zero chance I can make anything more than a cube with a character controller attached in one whole weekend, no matter how hard I crunch. There's no way these devs are only using 48 hours in these jams, I refuse to believe

I love how unhinged you get towards the end of the video - the only reasonable reaction to a physics degree

Came her from reddit. Good stuff.

That's abbsolutely brilliant. Thank you!

to really understand quaternions you need : direction cosine matrix, euler rotation matrix --> rodrigues rotation formula, finally quaternions. when you use euler rotation matrix, you will see why we need quaternions really bad

Geometric algebra >>

You just made Quaternions easy for me.

I cannot believe that a 10-minute video, that was made with paint and a Rubix cube explained Quaternions better than 3blue1grey and their fancy graphics. Thank you!

Im still confused.....

The puzzle cube adds unnecessary complexity.

that rubiks website or game please

When you make a sonic fan-game and your character need to have a tube based movement system this is perfect

Quaternions really are very natural for representing rotations when they're not being unnecessarily obfuscated. The three "imaginary" -bivector- terms are pretty understandable; they're the 3 basis axes / basis planes and all of them do 180° rotations (with 2-sided rotations). The scalar then has absolutely nothing to do with 4D space and _everything_ to do with _doing absolutely nothing._ A quaternion is just a weighted sum of rotations around each of the three basis axes plus the action of doing nothing. I will briefly mention the existence of "dual quaternions," which let you encode the transformation as a multiplication just like the rotations, and then you can just translate from the object to the origin, apply a rotation, and then translate back as TRT¯¹ (assuming you're composing from right to left), and the whole thing will perform a rotation around the origin of the object in the same plane as R. It's basically what you did manually with addition, but more composable.

it's quite frustrating that you keep missing the -obstacle- variable declaration and just confuse the 2 (multiple times) :(

Are you related to mike rose?

someone did this 2 weeks ago

I’ve been using Quaternion.Identity and Quaternion.LookRotation for a couple years but but never understood how they worked until watching your video. Thanks for this!

In case it's helpful to anyone stuck using 3x3 rotation matrices, for everything in this video Quaternion can be replaced with 3x3 rotation matrix and its all still true. They are interchangeable in this conversation. But I guess "quaternion" is easier to say than "3D rotation" all the time.