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Command Line Quaternions: Addition Command Line Quaternions: Addition
Posted by: sweetser

Video duration: 144 seconds
Global video hits: 806

Adding one quaternion over and over to another quaternion generates what physicists call an inertial observer. Amazing that the simplest step in math creates something at the foundation of special relativity

Related: addition, animation, quaternions, relativity, special

Command Line Quaternions: Gamma Matrices Command Line Quaternions: Gamma Matrices
Posted by: sweetser

Video duration: 72 seconds
Global video hits: 565

Gamma matrices are used in relativistic quantum field theory calculations. De Leo Nad researchers in Mexico (J. Lopex-Bonilla, L. Rosales-Roldan, and A. Xuniga-Segundo) have noticed that quaternion triple products can do the same work algebraically. Starting with one quaternion world line, 16 new ones can be generated by mixing up where t, x, y, and z go within the quaternion.

Related: animation, field, gamma, quantum, quaternions, theory

Quaternions and rotation Quaternions and rotation
Posted by: sh8zen

Video duration: 209 seconds
Global video hits: 1119

storing rotation axis values in float variables versus quaternions

Related: development, game, xna

Quaternions and Floretions in Blender Quaternions and Floretions in Blender
Posted by: oozecandy

Video duration: 170 seconds
Global video hits: 218

Since my last video I've written a Python script to generate these shapes and forms (in effect short algorithms based on quaternion/floretion multiplication) directly in Blender. This is great as it saves me a lot of time in testing algorithm parameters and researching possibilities.
Thanks to Manolo Camp for the first song (Butterfly)!

Related: floretions, math, quaternions

Quaternions and rotation (I know it\ Quaternions and rotation (I know it's been covered a lot)
Posted by: sh8zen

Video duration: 95 seconds
Global video hits: 292

storing overall rotation value in variables versus quaternions

Related: development, game, xna

Fractale en 4D chez les quaternions Fractale en 4D chez les quaternions
Posted by: wwwgecifnet

Video duration: 21 seconds
Global video hits: 381

Animation fractale réalisée avec le logiciel Gecif.
www.gecif.net

Related: animation, fractal, fractale, fractales, gecif, julia, mandelbrot, quaternion

IET: Dissertation PSD on top of Dual Quaternions-D. Murtagh IET: Dissertation PSD on top of Dual Quaternions-D. Murtagh
Posted by: ietvids

Video duration: 44 seconds
Global video hits: 34

This video shos an example of our method (Pose space deformation on top of dual-quaternion skinning) compared to the current standard (PSD on top of Skeletal subspace deformation). The results were obtained using 3 example poses and show that our method provides better interpolation between the poses. More information at https://www.cs.tcd.i e/~murtagda/research /

Related: animation, blend, deformation, dual, linear, pose, quaternion, skinning, space, ssd

dual quaternions dual quaternions
Posted by: mvedenev

Video duration: 4 seconds
Global video hits: 137

http://quaternion.11 0mb.com/
Rotation and displacement of tetrahedron (rigid body) with dual quaternion q=qd*qr, where qd=1+ep+ep*i*2+ep*j* 2+ep*j*2, qr=0.86603+i*0.35355 +j*0+k*0.35355
Matlab animation.

Related: animation, dual, matlab, quaternion

Command Line Quaternions: 4D Square Command Line Quaternions: 4D Square
Posted by: sweetser

Video duration: 10 seconds
Global video hits: 527

A 4 dimensional square.

Related: 4d, animation, command, line, quaternions, square, sweetser

Command Line Quaternions: Boost Along the X Axis Command Line Quaternions: Boost Along the X Axis
Posted by: sweetser

Video duration: 10 seconds
Global video hits: 212

An inertial observer in yellow is given a Lorentz boost along the x axis equal to 0.9c. Notice how the tx graph involved compression, while ty and tz look like rotations.

Related: animation, boost, command, line, lorentz, quaternions, sweetser

Quaternion Fractal 1 Quaternion Fractal 1
Posted by: lysergicwindow

Video duration: 37 seconds
Global video hits: 8759

Quaternions play an important role in quantum mechanics.

Related: fractal, mechanics, quantum, quaternion

New Quaternion Math Leads to New Reasons Why Physics Work New Quaternion Math Leads to New Reasons Why Physics Work
Posted by: sweetser

Video duration: 2466 seconds
Global video hits: 1038

This is the talk I will present to the 8th International Conference on Clifford Algebras in Campinas, Brazil. The new two limit quaternion derivative definition has a real directional derivative for classical physics, and the norm of a derivative for quantum mechanics.

Related: algebra, clifford, derivative, field, gem, mechanics, model, quantum, quaternions, standard, theory, unified

Quaternion Fractal 2 Quaternion Fractal 2
Posted by: lysergicwindow

Video duration: 24 seconds
Global video hits: 1259

Quaternions play an important role in quantum mechanics.

Related: dynamics, flow, fluid, fractals, maths, quaternion, science

The Standard Model and Gravity Symmetries The Standard Model and Gravity Symmetries
Posted by: sweetser

Video duration: 163 seconds
Global video hits: 568

The symmetries of the standard model are here: U(1), SU(2) and SU(3) as quaternion animations (time + 3D). By using spheres of different sizes as a function of local location on a manifold, the work of Diff(M) is on display

Related: force, group, model, physics, quaternions, standard, strong, su2, su2, theoretical, weak

Generic Engine - Official Demo Video 2008-08-06 Generic Engine - Official Demo Video 2008-08-06
Posted by: hoonsworld

Video duration: 355 seconds
Global video hits: 911

This is the first official demo video of "Generic Engine".

Related: 3d, angles, cad, cae, camera, element, engine, engineering, euler, finite, game, graphic, java, jogl, jsr-231, ls-dyna, matrix, mesh, nastran, opengl, orbit, pamcrash, quaternions, reality, renderer, rendering, rotation, viewer, virtual

3D Rocker 3D Rocker
Posted by: sergejg2

Video duration: 17 seconds
Global video hits: 42

Keyframe animation using quaternions created for CPSC 526. More info at http://members.shaw. ca/sjuarez/keyframe. html

Related: keyframe, opengl, quaternions

Chaos Visions 1.2 Chaos Visions 1.2
Posted by: VictorHugoFlores

Video duration: 269 seconds
Global video hits: 2043

fractal explorer animation, fractal music, fragment of my fractal tune "Oberon Dreaming". More (and better quality of sound) in: http://www.soundclic k.com/bands/pagemusi c.cfm?bandID=287101

Related: animation, chaos, geometry, geometrìa, mandebrot, music, quaternions

Visions of the Chaos 1.1 Visions of the Chaos 1.1
Posted by: VictorHugoFlores

Video duration: 428 seconds
Global video hits: 2446

Fractal music composed by my in Gingerbread, to this animation based in Chaos Theory: quaternions and attractors.
More, in:
http://www.soundc lick.com/bands/pagem usic.cfm?bandID=2871 01
http://www.hyperi a.biz/egregora/index .html

Related: animation, chaos, fractal, music

Ian Darby - Taking The Waterfront By Force 1984 Ian Darby - Taking The Waterfront By Force 1984
Posted by: oozecandy

Video duration: 291 seconds
Global video hits: 112

Thanks to Realfreshblog for originally posting this! Video made with Blender and Cranborg Python Script.

Related: 1984, ambient, animations, blender, by, electronic, floretions, force, intelligent, quaternions, records, taking, techno, teflon, the, waterfront

Hilbert Versus GEM Action Smackdown April APS Meeting Hilbert Versus GEM Action Smackdown April APS Meeting
Posted by: sweetser

Video duration: 1340 seconds
Global video hits: 381

n 1915, Hilbert wrote the action used for gravity. As an amateur, I have worked on an alternative that unifies gravity and EM. The two actions will be contrasted because they make different predictions for light bending around the Sun at second order PPN accuracy, and for the polarization of quadrapole moment gravity waves.

Related: action, april, aps, field, gem, general, hilbert, louis, meeting, quaternions, relativity, saint, theory, unified

Analytic Animations: The Cross Product Analytic Animations: The Cross Product
Posted by: sweetser

Video duration: 103 seconds
Global video hits: 186

This series of three animations shows the cross product. Although we get to see the cross product of two basis vectors creates a third, the vision is transient because all share the same time, t = 0. The input can be made dynamic which does not alter the cross product. If the order of multiplication is reversed, the cross product is smaller, but still blinks into existence only while t = 0.

Related: analytic, animations, cross, product, quaternions

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