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Using our own hand to sketch out an idea is a natural step for our creativity.
So I constantly draw pictures, drawing on my creativity to help me visualize. And it is a salve for the rougher times of our lives. A bit of escapism. Good for what ails us.
3D Forms
Ironically, it is two-dimensional pen and paper that becomes the practice field for three-dimensional cognition. I know I am constantly drawing forms and shapes, trying to figure them out or reason about their volume. I imagine holding them in my hand, reorienting them, looking at them. And then I draw.
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For a cube, I almost never draw it in such a way that I can't see its inherent dimensionality. For a snub cube, I show the snub facing the viewer. Otherwise I probably can't tell what it is. So I reorient the object in my mind to draw it.
I like the idea of something having a real three-dimensional heft to it. I can almost feel the edges around the missing corner.
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It isn't well-known, but the dodecahedrons - both the platonic one and the rhombic one - can superscribe a cube. This shape is the basis of a garnet crystal.
I show a rhombic dodecahedron superscribing a cube. Imagine a cube with short pyramids on each face. Constructing one with pencil and paper is easy, since the height of each pyramid is exactly one-half a cube edge length.
Rhombic dodecahedra can fit together and tile space perfectly like cubes, which I find interesting. And it's also obvious, since the vertex of the rhombic dodecahedron is actually at the center of a neighboring cube.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir2kQ7blVxUnw4gaIiHXsWdHTEh3Iw6udtAyToWWbXCDHXcClroEZ2_5VBBVaceH0UcB2HCLwKVPUVULyWlobSM7YV8EwL0g6Fln1P5N0KkzNM5ucgaY1MYg9CpE00vZqi2WNZ8u2N_X0/s1600/Button.jpg)
I can't even say what all the objects are, but I did find them interesting to imagine at one point. Perhaps this is a button from an old corduroy jacket.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilgCbzzZnK-QTwsRPtrNETVe8GWd_qeCD9ADv4z-snVytRavUj9MOdWe-iWhGjE6Tx5Hr8ca7grQOUcE18-cOPLUIt7EDVFm8_NuISsTyi7clqN_20Pa6pkAdVvWWKBHuNfN1YNmK3mHw/s1600/FoldedTriangle.jpg)
At some point, though, three-dimensional figures need to be transcended. This is done by imagination and also by requirement. Imagination and simple tinkering can lead to the impossible figure. Requirement can lead to icons. They are both interesting pastimes and also they can be real work, as we will see.
John Derry and I spent many, many hours searching for the right icons for brushes, for features of brushes, for effects, for tools, for everything.
Impossible Figures
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I drew it only a couple of months after my grandfather died, so it was clear that my obsession with impossible figures might have come from my need to process the situation.
It was drawn with a Flair pen on the harshest Olivetti copy paper, so it has colored a bit through time. And the felt pen I used wasn't exactly the best tool to use. I used a drafting set to make the basic shapes. And then I shaded it the best I could, given it is, after all, impossible.
The draftsmen at Lockheed, where my dad worked at the time, were quite impressed and put it up on their walls. But it was a time of downsizing for Lockheed and soon they were laid off.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjX8Zwo25b4DWSgbfrrRdt4DWtiOhyeLiE43IllbP_0ImiWrIYd-Ss490eqMaDRCpuPg_W4g_uQS8zV4hLIPH9JllZzff2BjAtVLKlMyrN1AUdApPURCVSOfnhHuTeWxR0cuJIdy4tVm68/s200/Impossible1.jpg)
Here is the basic impossible figure it is based on. This was originally drawn in 1934 by Swedish artist Oscar Reutersvärd and later made popular by Lionel and Roger Penrose. Though it is impossible, you can create a version of it in real space, made so you can look at it from one angle and it will look real.
This is not so for all impossible figures, though. And these definitely defy imagination. Really, the first impossible figure I ever saw was in the Time-Life book about the Mind.
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They had this figure up on their wall right next to the drafting table as a kind of joking reference to nonsense and I respected them for their humor in the matter.
This figure can't be constructed in three-space because inside and outside exchange places, obviously. If you look at one side and then the other, they are reasonable taken by themselves. But not together as a whole.
In the post Interlock, I discussed the Valknut, a cool figure used by the vikings around Gotland centuries ago to symbolize Odin's patronage of those who died in battle. It is a sacred mark of sorts.
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In some ways, these figures are a tribute to M. C. Escher, the famous dutch artist that perfected the ever-ascending stairway and other impossible illusions.
I love his art! In some ways, I think maybe I'm almost as crazy, if not quite as detail oriented, as Escher. He used his hand to make all his art, and that makes me respect him.
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I show that they have to be bolted together to hold them in place. But I'm not quite clear on their shapes. I show some warping to the planks so they can fit, but I think it is a bit more difficult to make this work. Unlike Escher, I have preserved their proportions. Escher made his work by having a different number of stairs on the four sides of the stairway. I have used no such cheat.
Still, I try to imagine the exact shapes that will make this work. And to what end? To relieve myself of the boredom of a staff meeting. Heh.
Three-Dimensional Interfaces
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Here you see a cylindrical rotation icon. For rotating a vase that you are painting, for instance. I think the cylinder in the center has to be a glass rod to make it sensible.
But this was only one of many icon tries for three-dimensional interfaces. I soon elicited John Derry's help in creating them.
I think I like three-dimensional interfaces because they simulate real objects that you can use. Like a folder that opens up when you move something to it and whoosh, the thing goes into it.
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But eventually, it all got screwy. Icon creation is a really hard problem in general, because you have to develop a design language that is consistent and clean and not easily misunderstood: hard to get wrong.
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This was drawn on the back of a spreadsheet that detailed the booth personnel hours for PC Expo in New York in 1996. It's really kind of funny, put into that perspective.
The Fractal Design sales personnel were well-meaning and extremely organized, so I shouldn't trivialize their hard work. After all, they were where the rubber hits the road! I will forever owe them a debt of gratitude!
At this point, I was still the CEO and we were a public company. But rust never sleeps, and I had products to create. And this includes being creative, even during sales meetings!
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Three-dimensional forms in motion.
Nothing is static, all is moving. Trade shows and products must go on, as does life. At this point in January 1996, my life was changing, more like going over a waterfall, and I had just met some of the most interesting people I will ever meet in my life. Drawing, playing piano, writing songs, and even composing poetry: there were lots of issues to work out, and creativity was central to that process. Good times!
Icon Creation
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We were working on trackball icons. In the center, you see a prototype for the sphere with an arrow going around it. But John said that the arrow might best have two points on it, signifying that you could turn the object in any direction.
This led to a happy face with arrows on the mouth. I drew a vase with an arrow going around it, then drew a vase pouring out liquid with an arrow going around it! There is a cube with an arrow. And various circular arrows drawn and obliqued. Then John drew a brush with an arrow going around it. And it just got weirder from there.
Pretty soon there were atoms and icons for the funniest things. Like a dead fish icon. And a dead dog icon (?). And a lightning strike icon. And a tornado icon. The cow is floating around it, saying "moo", by the way.
We had gotten a bit crazy in the process; we tended to do this. How can you be serious when you are creating icons, after all?
You can see a scissors-cutting-paper icon, a road-into-the-distance icon, a submerged pyramid icon, and even a bleeding eyeball icon! I think the comment was that some of these icons were so bad, it made our eyes bleed! No, we weren't actually being serious at the time at all.
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I have one that, in its unedited form, says "I SEE ALL BUGS!!!". There is a bit of humor there, since I was talking about bugs in Painter: you know, mistakes in the code that needed to be fixed. We really needed to fix all of them before any release.
This is the standing order of things at a software company. And, as a primary developer, along with Tom, it was always my main responsibility to fix the problems. In the Painter 6 time frame, I did more bug fixing than usual because Tom was preoccupied with other issues.
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![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvFLfVKHpDE7hyphenhyphenK11mjprOwZRoN9pKHE11RpGQKK4D_RrRVeFQknyxQ7qL2nhC4WhyTllVJ0NCx8mlFzwLGSqNmBZKkTE8FOR_iuw6-Hw-PyWoq4GjXH2I1xrjuLx9FjZ8NkyGysSafrQ/s1600/IcebergIcon.jpg)
If we were outperforming our capabilities, or if we just wanted to show off, I'm also quite sure the "goes to 11" icon could make sense of it all. It is a reference to Rob Reiner's movie This Is Spinal Tap.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4D6xu4AsDwdaZjd0iW_QEwsHbwnnTIwjNlXG-S9kvwB400XNaA4wtEYsoB7eeMDOkm4QINXsFD4X79D2wDOfdXnmFk_EIWsk4fA1B7PBAj97fYZQ5HDGzJCCx_B_alBF33PlMxtfqiik/s1600/GunIcon.jpg)
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But at the bottom of it, it wasn't ever really obvious why we drew these. They were just a way of joking around while embedding ourselves and our mindsets in the art of icon creation: an art that has its own purgatory built right into it.
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We also liked to play that game, of borrowing the design language from some other task. It is, after all, what the paint can is based on, and so many other cool things from Fractal Design. It's where design gets fractal.
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We had a reputation to keep up!
Our brushes had to be the coolest. Our effects had to be the first on the block. Even layers came out first and we made hay with it with make up your mind again, and again, and again. Design is not a linear process, because of trial and error but even more because the client may not like your design. And you may have to produce several designs to show the client. We got that.
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So what the designer wanted, and what we felt they would like in the future, mattered to us. We were practicing designers: we were Fractal Design.
I do remember some of these drawing from Painter 3D icons. :)
ReplyDeleteLots and lots of ideas. Brilliant Fractal Design guys!
There are a few good ideas in the midst of all that joking around, I guess! ;-)
Delete"I present here another impossible Valknut, one which intersects itself. This one took a couple of tries, I assure you. It is still a variation of the impossible triangle. I guess I never tire of making these variations."
ReplyDeleteI understand the Penrose triangle is impossible because the 90 degree angles required by the visible straight edge on the right side and lack of twisting. This is more evident in this type of drawing:
http://psylux.psych.tu-dresden.de/i1/kaw/diverses%20Material/www.illusionworks.com/html/impossible_triangle.html
To my pedantic eye, it appears less clear in this Valknut, that the angle on the vertical plates of can't lean back enough such as that it is possible in 3D, because of the thinness of the plates and the lack of perfectly straight edges in the freehand drawing.
I realized just now that with twisting to join the ends of a n-sided (n > 1) beam, it is possible to visit all sides of the beam by walking forward on one side. So I suppose the key is that twisting must be impossible in the 2D projection.
I think I can safely say that *that* particular Valknut is rather impossible. And I insider it to be one of my best impossible figures. Of course, Penrose didn't invent this style of impossible figure. That would be Oscar Reutersvärd, of course. Like the Valknut, invented in Sweden. I think those Swedes have twisted minds, or something. And when they conquered the British Isles, they lent there twisted minds to the British folk through their DNA. And from them to us American mutts.
DeleteStill, I don't think I'm tough enough or battle-ready enough to get a Valknut tattoo!
But, with the new Valknut, I think I may be one of the better impossible figure artists. If I don't say so myself! ;-)
As far as being possible to construct, I think I mean that it is when straight lines remain straight lines and all apparently perpendicular as indicated. Fair is fair!
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