math
On beauty bare
Wang tiles
Trees and graphs
A tree is a kind of graph, but a graph can be considerably more complex than a tree.
I have reason to believe, which for brevity’s sake I will treat elsewhere, that the most complex class of processes and structures we humans can consciously prescribe, reduces mathematically to a tree. A tree has a top, bottom, left and right. Its branches fan out from the trunk and they don’t intersect with one another. They are discrete, contiguous, identifiable objects which persist across time. Trees are Things.
Software and websites, however, reduce to arbitrarily more complex structures: they are graphs. A graph has no meaningful orientation whatsoever. No sequence, no obvious start or end—at least none that we can intuit. It is better considered not as one Thing, but as a federation of Things, like the brain or a fungus network, or perhaps a composite artifact left behind from an ongoing process, like an ant colony or human city.
Trees and semilattices
The tree of my title is not a green tree with leaves. It is the name of an abstract structure. I shall contrast it with another, more complex abstract structure called a semilattice.
Both the tree and semilattice are ways of thinking about how a large collection of many small systems goes to make up a large and complex system.
A collection of sets forms a semilattice if, and only if, when two overlapping sets belong to the collection, the set of elements common to both also belongs to the collection. That is, if [234] and [345] belong to the collection, then [34] belongs to the collection.
A collection of sets forms a tree if, and only if, for any two sets that belong to the collection either one is wholly contained in the other, or they are wholly disjoint. Every tree is trivially a simple semilattice.
We are concerned with the difference between structures in which no overlap occurs, and those structures in which overlap does occur.
The semilattice is potentially a much more complex and subtle structure than a tree. It is this lack of structural complexity, characteristic of trees, which is crippling our conceptions of the city.
A City Is Not a Tree
An Essay by Christopher Alexander- Strands of life
- Impending destruction
- The right overlap
- The difficulty of designing complexity
- Political chains of influence
Notes on the Synthesis of Form
A Book by Christopher AlexanderVisualizing Data
A Book by William S. ClevelandExploratory Data Analysis
A Book by John TukeyPlus Equals #4
An Article by Rob WeychertOne of the seeds for Plus Equals was planted a few years ago with Incomplete Open Cubes Revisited, my extension of a Sol LeWitt work. I learned a lot about isometric projection from that project, but my affection for the concept didn’t begin there. Whether I’m looking at a Chris Ware illustration or an exploded-view technical drawing of a complex machine, an isometric rendering always stirs something in me.
A brief foray into vectorial semantics
An Article by James SomersOne of the best (and easiest) ways to start making sense of a document is to highlight its “important” words, or the words that appear within that document more often than chance would predict. That’s the idea behind Amazon.com’s “Statistically Improbable Phrases”:
Amazon.com’s Statistically Improbable Phrases, or “SIPs”, are the most distinctive phrases in the text of books in the Search Inside!™ program. To identify SIPs, our computers scan the text of all books in the Search Inside! program. If they find a phrase that occurs a large number of times in a particular book relative to all Search Inside! books, that phrase is a SIP in that book.
tixy.land
A Websitesin(t * x) * cos(t * y)
Creative code golfing.
Rafael Araujo's Golden Ratio
A GalleryBlue Morpho Double Helix & Icosahedron
The Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy
A Research Paper by Cyril Stanley SmithA pattern of tiles illustrated by Douat in 1722.
A translation is given of Truchet's 1704 paper showing that an infinity of patterns can be generated by the assembly of a single half—colored tile in various orientations.
Everything and More
A Book by David Foster WallaceInfoCrystal
A Research PaperThis paper introduces a novel representation, called the InfoCrystal, that can be used as a visualization tool as well as a visual query language to help users search for information. The InfoCrystal visualizes all the possible relationships among N concepts.
The Best Interface is No Interface
"There's an app for that."
Slap an interface on it!
How do you make a better car?
How do you make a better fridge?
How do you make a better trash can?
How do you make a better restaurant?
How do you make a better vending machine?Aim higher
“There’s one more thing you need to do: Aim higher the merely trying to recreate Silicon Valley. You should try to kick our butt instead.” — Guy Kawasaki
This is UX
When you hire someone to generate UI, you won’t get new, innovative solutions. You’ll get more UI, not better UX.
This is UI:
Navigation, sub navigation, menus, drop-downs, buttons, links, windows, rounded corners, shadowing, error messages, alerts, updates, checkboxes, password fields, text inputs, radio selections, text areas, hover states, selection states, pressed states, tooltips, banner ads, embedded videos, swipe animations, scrolling, clicking, iconography, colors, lists, slideshows, alt text, badges, notifications, gradients, pop-ups, carousels, OK.cancel, etc. etc. etc.
This is UX:
People, happiness, solving problems, understanding needs, love, efficiency, entertainment, pleasure, delight, smiles, soul, warmth, personality, joy, satisfaction, gratification, elation, exhilaration, bliss, euphoria, convenience, enchantment, magic, productivity, effectiveness, etc. etc. etc.
The most seamless and wonderful way
I believe our job as designers is to give you what you need as quickly and elegantly as we can. Our job as designers is to take you away from technology. Our job as designers is to make you smile. To make a profit by providing you something that enhances your life in the most seamless and wonderful way possible.
The best interface
Let’s end the confusion between UI and UX. Let’s stop slapping sirens on children’s toys. Let’s prioritize personal goals over addiction. Let’s get our lives and our health back in balance by interacting with the real world instead of staring into a light, checking new notifications. Let’s think beyond screens.
The best result for any technology is to solve meaningful problems in impactful ways.
The best design reduces work.
The best computer is unseen.
The best interaction is natural.
The best interface is no interface.Adapt
Digital products can do so much more than have a fancy front end.
Even if your company’s core product is an interface, not everything that comes after has to be an interface. If things were that rigid, Apple Computer, the personal computer company, would never become Apple Inc., the world’s largest consumer electronics company. If companies didn’t go after opportunities beyond what they do today, Netflix would still be mailing DVDs in red envelopes.
Great thinkers adapt. Great companies offer their customers the best possible solutions, whether they have a graphical user interface or not.
Let them serve us
Instead of us serving computers,
let computers serve us.Forgetting
Inactivity could be another automatic trigger to erase any stored information. If they haven’t utilized the system in a long time, their food data could automatically clear. With so many services out there trying to grab out attention, knowing that a system collecting more general information will just forget everything it knows about you if you don’t use it for a long time might ease the resistance to trying out the new software in the first place.