**Direction vector from a matrix or quaternion**

Euler angles suffer from a problem called gimbal lock, which can make certain rotations impossible. Matrices require more storage space in memory, and are less efficient for vector multiplication. Axis/angles work similarly to quaternions, but are less convenient for interpolation and vector multiplication than quaternions are. Quaternions and matrices tend to be the most convenient options …... The make-axis/angle procedure returns a quaternion representing the given axis/angle rotation. The axis is specified as either a single vector quaternion argument axis-vec , or as three reals axis-x , …

**Rotation Quaternions and How to Use Them**

Quaternion interpolated = Quaternion.Lerp(rot1, rot2, .31f); This piece of code creates a rotation in between of rot1 and rot2, where rot1 is the start rotation and rot2 is the end rotation. In other words if the last value is 0, then the result is rot1, if the last value is 1, then the result is rot2.... These four components make quaternions similar to four-dimensional vectors in a lot of ways. For a start, normalising a quaternion is done in the same way. For a start, normalising a quaternion …

**Quaternion mathematics Britannica.com**

Quaternion basics. Quaternion provides us with a way for rotating a point around a specified axis by a specified angle. If you are just starting out in the topic of 3d rotations, you will often hear people saying “use quaternion because it will have any gimbal lock problems”. how to make homemade glaze icing Quaternion multiplication is not commutative (due to the vector cross product that's involved). In other words, changing the order in which you rotate an object around various axes can produce

**Code examples using quaternion for rotation? Grasshopper**

Quaternion Rotations In order to make all of these translations and rotations relative to the current orientation of the viewer, I used quaternion rotations . In the process, I developed a pure Java library of axis angle, matrix, and quaternion classes for 3D math. how to play iso on psp 6.60 pro c Quaternion: Quaternion, in algebra, a generalization of two-dimensional complex numbers to three dimensions. Quaternions and rules for operations on them were invented by Irish mathematician Sir William Rowan Hamilton in 1843. He devised them as a way …

## How long can it take?

### GLKQuaternionMakeWithMatrix3(_) GLKit Apple Developer

- Quaternion Math Tutorial ludobloom
- Quaternions and Rotations University of Southern California
- GLKMatrix3MakeWithQuaternion(_) GLKit Apple Developer
- Using Quaternions for OpenGL Rotations Stack Overflow

## How To Make A Quaternion

IDEA: make a quaternion demo. Let people play and predict. I want to do the rotations in my head. Visualize with Matchbox or three.js etc. Let people play and predict. I want to do the rotations in my head.

- Quaternion multiplication is not commutative (due to the vector cross product that's involved). In other words, changing the order in which you rotate an object around various axes can produce
- In the below example, I rotate around the X axis 3 times, and you can see the quaternions make a nice, smooth sinusoidal wave between +1 and -1. This is one of the benefits of quaternions over Euler angles, an Euler angle would have to wrap around from +180 to -180 at some point. The image below shows the full quaternion plot with a plot of the corresponding Euler angles.
- Floating point quaternion that can represent a rotation about an axis in 3-D space. The X, Y, Z, W components also double as the Axis/Angle format. Order matters when composing quaternions: C = A * B will yield a quaternion C that logically first applies B then A to any subsequent transformation (right first, then left). Note that this is the opposite order of
- 13/10/2018 · Store the object's current rotation and then use LookRotation to make a "target" rotation. You can then interpolate between the two smoothly using Quaternion.Slerp . andeeeee , Dec 9, 2009