I think it is a good idea because both components contain useful complementary information (the cosine/sine of the angle and the plane they form), and the algebra corresponds to geometric operations. Having an algebra…
I think matrices are easier for people to visualize because they can think about them as a vector frame and coordinate transformations. Quaternions are seen as this abstract 4D space somehow containing 3D space…
Skew symmetric matrices are isomorphic to bivectors :)
99% of the time this is true.
The outer product is the antisymmetric part of the tensor product.
The same way quaternions do.
Yeah, I spent a long time trying to find a very clean path to the geometric product and failed so far, but I feel I am getting closer, ahah.
The [Aside] section of "The Reflection Formula (Geometric Product Version) "http://marctenbosch.com/quaternions/#h_13 has the answer you seek ;)
Yes, anything you can do on quaternions you can do on rotors. (Updated the article) I have not seen a clean version of the code online but it is almost the same as for a quaternion.
The VR version has haptics. It's kinda interesting. I think there is a little bit of intuition to be gained.
Ah, miegakure is not out yet, sorry!
Something like that, yes.
A new build is being reviewed by Apple!
Are you on an iPhone 6+ or 7+? If so, a new build is being reviewed by Apple.
Thanks! Each puzzle is about doing some crazy thing that only a 4D being could do, such as binding two rings without breaking them, or stealing something from a building that is closed from all sides but not in the…
The avatar is 3D with some 4D thickness.
Jim Rossignol from Rock Paper Shotgun played a recent build: http://www.rockpapershotgun.com/2014/03/18/miegakure-preview... He said: "Flipping through dimensions is remarkably intuitive- [...] I shifted dimensions,…
The game is actually completely continuous. The crazy deforming shape at the beginning of the trailer is a 3D slice of an object called a 120-Cell, which is a true 4D shape.
It's actually highly unlikely the game will not come out.
Well, experimental games take a long time to make! It's to be expected.
I think it is a good idea because both components contain useful complementary information (the cosine/sine of the angle and the plane they form), and the algebra corresponds to geometric operations. Having an algebra…
I think matrices are easier for people to visualize because they can think about them as a vector frame and coordinate transformations. Quaternions are seen as this abstract 4D space somehow containing 3D space…
Skew symmetric matrices are isomorphic to bivectors :)
99% of the time this is true.
The outer product is the antisymmetric part of the tensor product.
The same way quaternions do.
Yeah, I spent a long time trying to find a very clean path to the geometric product and failed so far, but I feel I am getting closer, ahah.
The [Aside] section of "The Reflection Formula (Geometric Product Version) "http://marctenbosch.com/quaternions/#h_13 has the answer you seek ;)
Yes, anything you can do on quaternions you can do on rotors. (Updated the article) I have not seen a clean version of the code online but it is almost the same as for a quaternion.
The VR version has haptics. It's kinda interesting. I think there is a little bit of intuition to be gained.
Ah, miegakure is not out yet, sorry!
Something like that, yes.
A new build is being reviewed by Apple!
Are you on an iPhone 6+ or 7+? If so, a new build is being reviewed by Apple.
Thanks! Each puzzle is about doing some crazy thing that only a 4D being could do, such as binding two rings without breaking them, or stealing something from a building that is closed from all sides but not in the…
The avatar is 3D with some 4D thickness.
Jim Rossignol from Rock Paper Shotgun played a recent build: http://www.rockpapershotgun.com/2014/03/18/miegakure-preview... He said: "Flipping through dimensions is remarkably intuitive- [...] I shifted dimensions,…
The game is actually completely continuous. The crazy deforming shape at the beginning of the trailer is a 3D slice of an object called a 120-Cell, which is a true 4D shape.
It's actually highly unlikely the game will not come out.
Well, experimental games take a long time to make! It's to be expected.