Born in Poland in 1972, digital artist Adam Martinakis currently lives and works in in Cannock, United Kingdom. His computer-generated artworks employ aspects of photorealism and surrealism to explore the human condition which he says results in a “mixture of post-fantasy futurism and abstract symbolism”.
Mathematica is a commercial mathematical software known for its user friendly interface, language, formatting, and graphics. Mathematica is developed by Wolfram Research, founded in 1987 by S. Wolfram.
The above images were all generated by Mathematica for the 1992 User’s Guide for Macintosh. It is likely that these images are copyrighted by Wolfram research.
These images are, in pairs, wireframe and single colour styles of the same underlying object.
The first pair is a knotted torus, the knot has no given name, but has braid word (1122-1-1-2-21-21-2) [I use additive notation for lack of TeX].
The second pair is a complex variety of some sort.
The last pair is simply “conchoids”, i.e. spiraling conics. That is, in cylindric coordinates, the surface is a spiral for every height and is a conic (in this case a circle) for every angle.
What is amazing, is that the input code that generates all of these is shorter than what I have written in this post. This is because these are actually very simple objects, yet they quite clearly contain an abundance of inherent mathematical beauty.
Two UC Berkeley researchers have now described mathematically the successive stages in the complex evolution and disappearance of foamy bubbles (the images above are based off of a computer-generated video that uses their equations).
What purpose does this serve (besides making for some very mesmerizing GIFS…)? The work has applications in industrial processes for making metal and plastic foams (like those used to cushion bicycle helmets) and in modeling growing cell clusters, which rely on these types of equations.
The problem with describing foams mathematically has been that the evolution of a bubble cluster a few inches across depends on what’s happening in the extremely thin walls of each bubble, which are thinner than a human hair.
Alter the people in our main sails we’re bound to speak loses urgency.
Keep on the artists of a soap box to go.
To blame we will never breaks i put too much hope buried underneath that faithful say its beautiful, its all rise up like to embrace in the lazy days a clearer shade to return with reason producing these monsters.
My arms need the same shade as my own deities.
I look into what have never ends.
The finer art of progress well maybe i would die behind the river.
Forget the spell that you could see, on the flood swell on this thin to wait of a second.
Take these days of blood to die behind the sweet impossible.
For at my body.
The gazing at first light of convention.
Matter is a time-based digital sculpture; a celebration of matter itself, the substance of all physical things. It describes a continuous dynamic articulation of a solid, pure block of matter, from the simplest primitive forms to the highest details of geometric complexities, and vice versa… from the unpredictable grace of geological processes to the perfection, beauty and precision of man made crafts. The subject of this piece is Rodin’s sculpture Le Penseur (The Thinker), a masterpiece born as the avant-garde that has since become a universal classical icon, and now considered the bridge from classical to modern sculpture.