Pictures of Math

Monday, December 12, 2011

Quaternion Julia Fractals

Posted by sylvier at 11:51 AM

Email This BlogThis!Share to Twitter Share to Facebook Share to Pinterest

Labels: Quaternion Julia set, Quaternions

No comments:

Pictures of Math

Math can be incredibly beautiful. Often this beauty is only accessible to those who study math at an advanced level; images such as these have a universal aesthetic.

I started this blog hoping to share some of the more colorful parts of mathematics with those who may have dismissed math as the result of a bad algebra or calculus class. Meanwhile, for the mathematically minded, I hope these images inspire you to learn new things.

With every image posted, there are links so that you can read more about the mathematics behind the image. I encourage you to do so as sometimes, the math involved is just as beautiful, if not more so.

Check out my other blog:
Pictures of Science

Search This Blog

by Sylvia Naples

sylvier: I am in love with math, but I have a pretty big crush on physics.

View my complete profile

Blog Archive

► 2016 (5)
- ► March (4)
- ► January (1)

► 2015 (5)
- ► October (1)
- ► February (4)

► 2013 (5)
- ► March (3)
- ► January (2)

► 2012 (50)
- ► December (1)
- ► November (4)
- ► October (8)
- ► September (5)
- ► June (1)
- ► May (4)
- ► April (1)
- ► March (5)
- ► February (5)
- ► January (16)

▼ 2011 (113)
- ▼ December (26)
- ► November (5)
- ► October (4)
- ► September (3)
- ► August (9)
- ► July (9)
- ► June (5)
- ► May (6)
- ► April (19)
- ► March (13)
- ► February (13)
- ► January (1)

► 2010 (14)
- ► December (1)
- ► November (4)
- ► October (5)
- ► September (4)

Followers

Labels

3-d (1)
3d printing (1)
80s (2)
A5 (1)
airflow patterns (1)
airplanes (1)
algebraic geometry (1)
algorithmic art (5)
algorithms (1)
angle (1)
architecture (4)
attractors (7)
barth surface (1)
binary (1)
boundary (1)
category theory (1)
cathedrals (1)
cayley graphs (1)
cellular automata (4)
chaos (5)
chladni patterns (1)
choas (1)
circle inversions (1)
circle packing (3)
circles (5)
complex numbers (9)
complex plane (13)
computer graphics (1)
computer programming (2)
coordinates (1)
counterexample (2)
cover (1)
coxeter groups (1)
crystals (1)
cubes (1)
curvature (1)
curve (8)
demoscene (1)
dimension (2)
dodecagon (1)
e8 (2)
earth (1)
earthquake (2)
ellipses (1)
embedding (1)
equal areas (2)
evolutionary art (1)
exponential (1)
field (1)
fourier transform (1)
fractals (21)
fractions (3)
frequency (1)
functions (1)
game of life (2)
gasket (1)
Gaussian integers (1)
geodesic (1)
geometry (20)
grids (2)
group theory (2)
guassian (2)
guassian integers (1)
half-plane (1)
harmonic ratios (1)
Hausdorff dimension (2)
hyperbolic (4)
hyperboloid (1)
hypercubes (2)
hypersphere (1)
icosahedron (3)
illusion (4)
infinite (1)
interference (3)
intersection (2)
invariant (2)
irrational (1)
irreducible fractions (1)
iteration (4)
Julia Set (4)
Klein (2)
klein bottle (1)
knot theory (5)
knots (5)
Koch (1)
lie algebra (1)
lie groups (2)
light (1)
linear algebra (1)
links (2)
Lorenz (3)
lorenz attractor (1)
loxodrome (1)
machine drawing (2)
magnetic field (1)
mandelbox (1)
mandelbrot set (1)
mandelbulb (1)
maps (1)
matrix (1)
menger sponge (1)
Mobius (3)
Mobius transforms (2)
models (3)
modular arithmetic (1)
moire (2)
moire pattern (2)
moon (1)
music (2)
nature (5)
nets (1)
newton (1)
nonlinear dynamics (1)
numbers (2)
ordinals (1)
origami (3)
orthogonal (2)
overlay (1)
parallels (1)
parameters (1)
particle accelerator (2)
partition (1)
patterns (3)
pdes (1)
pendulum (1)
Penrose (2)
physics (1)
pi (1)
plot (5)
polygons (2)
polyhedron (4)
polynomial functions (1)
prime numbers (2)
projection (4)
proportions (1)
quasicrystal (1)
Quaternion Julia set (4)
Quaternions (3)
random (1)
random processes (1)
rational (1)
recursion (5)
reflections (1)
relativity (1)
resonance (1)
revolution (1)
roots of unity (1)
self similar (3)
sequences (3)
Sierpinski (1)
Sierpinski triangle (2)
sine and cosine (5)
sound (1)
space (1)
spacetime (1)
sphere (3)
spheres (1)
spiral (2)
strange attractor (3)
string theory (1)
structure (1)
sun (1)
supercomputer (1)
surfaces (7)
symmetry groups (1)
tessellation (2)
tiling (2)
topology (3)
transforms (1)
triangles (2)
trigonometry (2)
unit disc (3)
universal cover (1)
vectors (1)
vibrations (1)
visual proof (2)
Voronoi (1)
waves (1)
Weaire-Phelan (2)

Picture Window theme. Theme images by andynwt. Powered by Blogger.

Monday, December 12, 2011

No comments:

Post a Comment