caustics
Caustic (optics)
Caustics made by the surface of water.
In optics, a caustic is the envelope of light rays reflected or refracted by a curved surface or object, or the projection of that envelope of rays on another surface. The caustic is a curve or surface to which each of the light rays is tangent, defining a boundary of an envelope of rays as a curve of concentrated light.
Hiding Images in Plain Sight
An Article by Matt FerraroI recently made a physical object that defies all intuition. It's a square of acrylic, smooth on both sides, totally transparent. A tiny window.
But it has the magic property that if you shine a flashlight on it, it forms an image.
Caustic Engineering
An Article by Geoff ManaughA piece of milled plexiglass acting as a projecting lens; via the Computer Graphics and Geometry Lab at the École Polytechnique Fédérale de Lausanne
New milling techniques applied to glass and plexiglass panels could be used to “create windows that are also cryptic projectors, summoning ghostly images from sunlight.”
[Pauly and Bompas] hope that the technique will be used in architectural design, to create windows that mould sunlight and throw images or patterns onto walls or floors,” which, if timed, milled, and manipulated just right, could produce a slowly animated sequence of images being projected by an otherwise empty window during different times of day.
Architectural Caustics
A Research PaperTo control the shape of a caustic pattern generated by a specular or refractive surface, we need to solve the inverse problem: how can we change the surface geometry, such that incident light is redirected to produce a desired caustic image?
Apologia
If the features of many are compared
Almost all fields today are concerned in one way or another with hierarchical structure, and a theory, or perhaps more usefully a metaphor, common to all may emerge if the features of many are compared.
Though the units in different fields are different, in all of them meaning comes through communication: patterns of communication are common to all, with aggregation leading to diversity or unity, and the clumps of unity themselves serving in turn as units in larger structrures based on more complex but still direct communication.
Pebbles on the beach
Newton picked up the pebbles on his metaphoric beach with an intellectual objective in mind, but his ancestor in paleolithic times picked up real minerals because he enjoyed looking at them: quite inadvertently he started the chain of practice and craftsmanship and thought that led to the diversity of specialized materials and generalized theory today.
More like the early Homo sapiens than the sixteenth-century intellectual giant I have enjoyed a life of rather undisciplined wandering and search.
Half-formed perception
Science must be simple, yet the human brain has a structure that gives it the capacity for relating to the world in its undivided complexity in ways that are not logical, though they are effective. Aesthetic interest aroused by observation and half-formed perception seems usually, perhaps always, to precede exact analysis.
Interdisciplinary
These papers are probably to be called interdisciplinary—an “in” word these days—but any value they may have derives from the fact that the author started with a rather deep immersion in a single discipline. One cannot hope to understand the nature of interaction between impinging areas without a firm knowledge of at least one of them.