marctenbosch

5 ms·

1.
by marctenbosch 8y ago
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 that corresponds
2.
by marctenbosch 8y ago
Ok I understand your question better, might update the article. Like the other commenter said, you can keep applying the geometric product more than once. To find what happens you can just work with the basis vectors. So, you basically have
3.
by marctenbosch 8y ago
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 transformations, and people h
4.
by marctenbosch 8y ago
Skew symmetric matrices are isomorphic to bivectors :)
5.
by marctenbosch 8y ago
99% of the time this is true.
6.
by marctenbosch 8y ago
The outer product is the antisymmetric part of the tensor product.
7.
by marctenbosch 8y ago
The same way quaternions do.
8.
by marctenbosch 8y ago
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.
9.
by marctenbosch 8y ago
The [Aside] section of "The Reflection Formula (Geometric Product Version) " http://marctenbosch.com/quaternions/#h_13 has the answer you seek ;)
10.
by marctenbosch 8y ago
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.
11.
by marctenbosch 8y ago
The VR version has haptics. It's kinda interesting. I think there is a little bit of intuition to be gained.
12.
by marctenbosch 9y ago
Ah, miegakure is not out yet, sorry!
13.
by marctenbosch 9y ago
Something like that, yes.
14.
by marctenbosch 9y ago
A new build is being reviewed by Apple!
15.
by marctenbosch 9y ago
Are you on an iPhone 6+ or 7+? If so, a new build is being reviewed by Apple.
16.
by marctenbosch 9y ago
I am aware of the issue and fixing right now!
17.
by marctenbosch 11y ago
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 fourth dimension. We&#x27
18.
by marctenbosch 11y ago
The avatar is 3D with some 4D thickness.
19.
by marctenbosch 12y ago
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 shifte
20.
by marctenbosch 12y ago
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.
21.
by marctenbosch 13y ago
It's actually highly unlikely the game will not come out.
22.
by marctenbosch 13y ago
Well, experimental games take a long time to make! It's to be expected.