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On the felicities of graph-based game-board design: three

Monday, August 24th, 2015

[ by Charles Cameron — cross-posted from Sembl ]
Following up on two previous posts on graph-based design: Preliminaries and Two dazzlers

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Here are two old HipBone boards that have the curious property of looking very different while being, in fact, topologically identical. Moves played on either board will feature the same set of links — although, given the visual impac ts of proximity and distance, they may “feel” very different to the players themselves:

Petersen graph boards

I call them the Pentagram and Mercedes boards, for what I trust are obvious reasons. They are both based on versions of the Petersen graph, and I’m grateful to Walter Logeman and Miles Thompson for introducing me to them.

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One of the vivid differences between my childhood memories and present experience has to do woth the time when the table, the place where food or whatever was, was above my head.

Of course, the table was flat — but it was flat above my head, and I had to reach up into that unknown flatland to grab what I could. Unless of course there was a tablecloth trailing over the edge of the flat, down towards eye-level, in which case.. voila!

Hence my ongoing notion that something tasty might be literally above my head, and my associated excitement. Hence, too, my excitement at the prospect that tasty ideas might also be above my head, and that I might reach up into unknown intellectual flatlands — or pull them down to my own level with a tug of the intellectual tablecloth.

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That may sound foolish, but it’s entirely in line with Eric Drexler’s advice — and Drexler published the first scientific paper on molecular nanotechnology [.pdf] in 1981.

Here’s what Drexler has to say about reading scientific journals:

Read and skim journals and textbooks that (at the moment) you only half understand. Include Science and Nature.

Don’t avoid a subject because it seems beyond you – instead, read other half-understandable journals and textbooks to absorb more vocabulary, perspective, and context, then circle back.

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Okay, I’m in over my head as they say.

Here’s an artist’s rendering of something called, I guess, an amplituhedron, a (relatively) newly discovered mathematical object that has the world of physics all excited:

amplutihedron_span

Here’s another, titled for some reason “droplet”:

droplet

Neither of those is anything I could conceivably use to come up with a HipBone or Sembl board, is it?

But get this:

nima-permutation-grassmannian-final-picture

This is another way of looking at the same corner of mathematical physics — one of over a hundred diagrams in the same paper— and here are the two “lesser” diagrams that caught my attention and made me think back to the Petersen graph boards earlier on today:

twistor-diagrams- scientists discover a jewel

Now my itch is to figure out what use the “filled” and “open” nodes in these two graphs might serve in game-playing terms, and how on earth to interpret in game terms the complex weavings of the colored lines in the larger image / board.

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And hey, while we’re at it, Here are the Wolfram variants on the Petersen graph — striking, aren’t they?

PetersenGraphEmbeddings wolfram

Food for thought is food for play.

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Sources:

  • N. Arkani-Hameda et al, Scattering Amplitudes and the Positive Grassmannian
  • Nima Arkani-Hameda and Jaroslav Trnkab, The Amplituhedron
  • Check out the stunning physics — deeper than time and space? — if you don’t already know it, and explain it if you do!

  • Natalie Wolchover, A Jewel at the Heart of Quantum Physics
  • And for Wolfram on the Petersen Graph:

  • Eric W. Weisstein, Petersen Graph
  • Considering various of the universes within this one

    Sunday, May 31st, 2015

    [ by Charles Cameron — 4th & last in a bizarre series [1, 2, 3] — I must confess I prefer the NASA stars to the game world, but Wm. Blake’s world to all the rest ]
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    My curiosity today leads me to compare two “represented” universes, each of them pretty much guaranteed — not that I place great credence in guarantees these days — to blow my mind or at least my socks off, and / or to quake my universe!

    SPEC DQ photo & game 02

    Here, to assist you in making your own comparison, are two text descriptions of the space photo (upper panel) and the game designs (lower):

    SPEC DQ photo & game 01

    My own feeling is that both are less awesome than their respective write-ups suggest: the NASA photo because it’s “awesomeness claim” is purely quantitative, whereas the universe is qualitative first and quantitative second; and the game images because they’re pale pastel imitations of our own world — fantastic, yes, but far from imaginative, to use the terminology Coleridge proposed.

    Sources:

  • Joe Martino, NASA Has Released The Largest Picture Ever Taken. It Will Rock Your Universe
  • Raffi Khatchadourian, World Without End: Creating a full-scale digital cosmos
  • **

    To give us a sense of proportion — one that includes both qualitative and quantitative elements — here are some other images which, along with the ones from NASA and the game, give you a somewhat wider “range of universes” to consider — all of them in fact contained in the one we blog and read in:

    SPEC DQ Blake Lange

    The first pair shows two humanly-generated images, one by the visionary artist and poet William Blake, the other by the documentary photographer Dorothea Lange. Realism, meet mythic imagination.

    The second pair — aha! — shows two desert sports: one almost archaic in its brutality, the other something akin to post-modern. In the upper panel we glimpse the Afghan national sport of Bukashi, in which the headless carcass of a goat is captured and carried to the goal by terrifying horsemen; in the lower, one of the robot jockeys who have replaced child-jockeys in the camel-racing of Dubai.

    SPEC DQ buzkashi robot camel jockey

    Sources:

  • William Blake, Jacob’s Ladder
  • Dorothea Lange, Migrant Mother

  • L Lukasz, “BUZKASHI” in Mazar-e Sharif
  • Avax News, Robots replace Child Jockeys
  • **

    But let’s be fair to the two first screenshots at the top of the page. Here are the respective videos of the NASA Andromeda megapicture and the Hello Games’ No Man’s Sky for you to consider on their merits —

    — remember: there’s no accounting for tastes.. not even mine own.

    In good, really good company

    Friday, January 10th, 2014

    [ by Charles Cameronmildly NSFW if your office can’t handle Leonardo, which IMNSHO we should be able to manage now in this 21st century CE — and besides, it’s the weekend ]
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    Well, we here at Zenpundit have a particular interest in creative thinking, and this last evening I unexpectedly found myself in excellent creative company…

    …in a months-old blog-post by an old friend, an astrophysicist by profession who goes by the name Cygnus on the web — presumably after the constellation that harbors Deneb, and also Kepler-22b, the “first known transiting planet to orbit within the habitable zone of a Sun-like star” (WikiP, since I know no better). Cygnus means “swan” in Greek, and Zeus became a swan for his own imperious purposes when he saw LedaHelen of Troy being one of their offspring (see eggs in Da Vinci‘s image below), with the Trojan War ensuing.


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    Here’s then, is the A-Z of creative folk, as Cygnus pulled it together last April as part of an “A-Z- Challenge” — I’m honored and awed to be named in the company of such as Andre Breton, Donald Knuth, George Carlin, Octavia Butler, Samuel R Delany, Dame Frances Yates and the rest:

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    For April 2013, my theme for the Blogging from A to Z Challenge was “An A to Z of Masters of the Imagination that You Oughtta Know About.”  In other words, on each day I profiled a person whose brains were just overflowing with weirdness and creativity.  Here’s a list of the posts:

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    So that’s Cygnus’ list — quite a dinner party! You’ll recognise some members of your own constellation of creatives here, perhaps — feast on some of those you’re not yet familar with! Cygnus blogs about games and such at Servitor Ludi.

    As for me, I’ll simply offer you William Bulter Yeats‘ great poem Leda and the Swan, to celebrate the company I just found myself in, and close out a memorable evening:

    Leda and the Swan

    A sudden blow: the great wings beating still
    Above the staggering girl, her thighs caressed
    By the dark webs, her nape caught in his bill,
    He holds her helpless breast upon his breast.

    How can those terrified vague fingers push
    The feathered glory from her loosening thighs?
    And how can body, laid in that white rush,
    But feel the strange heart beating where it lies?

    A shudder in the loins engenders there
    The broken wall, the burning roof and tower
    And Agamemnon dead.
                                     Being so caught up,
    So mastered by the brute blood of the air,
    Did she put on his knowledge with his power
    Before the indifferent beak could let her drop?

    Test pilot and astronaut Joe Engle meets the Academician

    Tuesday, December 10th, 2013

    [ by Charles Cameron — how an exchange of Cold War stories broke the ice for US-Soviet cooperation in space ]
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    Joe H Engle, X-15 test pilot and Space Shuttle pilot

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    I was talking with a friend, ML, and she told me this story of her cousin, USAF Maj Gen Joe Engle (ret’d), test pilot and astronaut, which I reproduce below from a NASA oral history interview. It is the tale of the exchange between diplomatic enemies which opened up joint US-Soviet NASA-MIR collaboration in space — an extraordinary, exemplary dialog. I believe Zenpundit readers will find it powerful reading.

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    To set the stage..

    When Engle was asked to go to Russia to prepare the way for a joint commission between the US and Soviets to explore the possibilities of space cooperation, he remembers saying:

    I was about as right-wing military as could be expected and I had spent a good deal of my professional career on the end of a runway sitting alert to go after them. I said, “I think I’m probably the last guy in the world that you want on that or that they want to see come and work with them.”

    To which the response was:

    “Well … that’s really kind of why I want you there, as a piece of litmus paper. … I figure if you can make it work and if they can work with you, why, then anybody will work.”

    So Joe Engle went to Russia in January 1995, and things did not begin smoothly — but I’ll give you the rest of the tale in his words:

    I went over with a group of two or three people and we had scheduled visits with the deputy head of Rosaviacosmos, RSA [Russian Space Agency], and RSC [Sergei Pavlovich Korolev Rocket and Space Corporation], Energia. The gentleman who had been identified to be Tom [ie Gen Tom Stafford]’s counterpart on the joint commission, who was Academician [Vladimir F.] Utkin, who is the most respected rocketeer that Russia’s ever had — well, next to Korolev, but most respected living one, an old gentleman, just a big bear of a guy.

    We were not doing well at all. Mr. [Boris D.] Ostroumov had essentially thrown us out of RSA and Mr. Semyanov did throw us out of Energia. He didn’t want anything to do with us, didn’t want any independent—they didn’t know what an independent review group was. It wasman entirely foreign concept to the Russians. They were more prone to the stovepipe, of this enterprise has this task to do and you turn the finished product out and it will fit with this finished product, and you don’t talk to each other. Everybody was very, very closed door about it. So they didn’t want the idea of anybody looking over their shoulder, even their own people looking over each other’s shoulder.

    It was a difficult concept to sell, and we were just about to say, “This doesn’t look like it’s going to work.” In fact, I had called Tom from over there and he said, “Well, pack it up and come home.” He said, “We’re not going to waste our time on this.”

    And I remember telling him, “Well, we got one more guy, the guy you’re supposed to be the co-chair with, and I’ll go see him, because we can’t move the flight up anyway. It costs too much money to move the flight up.”

    So we went to Academician Utkin’s, and he was pretty much the same way. I remember going in and being told to go in and sit in his office and wait for him. He walked in, and at that time, they didn’t have phones with pushbuttons. Each line had a separate phone, so he had fourteen phones on his desk, I remember, and a big map, a wall map of the Soviet Union. It was still Soviet Union then to them. Finally he walked in, strutted in, and sat down at his desk and started making some phone calls. We were sitting there, [William] Bill Vantine was with me and there was an interpreter present.

    Finally, after about, I think, about twenty minutes, he turned and he said,”So,” through the interpreter, he said, “So, you are going to tell us how to go to space?”

    I was trying to be as diplomatic as possible, but not wimpy about it, and I said, “No. No, sir. We’re here to join with you and go to space together and see if we can combine our resources.”

    He reacted with a couple of things about, “But you want to use our space station? You don’t have a space station. You want to use ours.” Finally, he leaned back in his chair and he said, “Let me tell you. I was the head of the Intercontinental Ballistic Missile Program for the Soviet Union and I designed the SS-19,” which was a superb rocket, booster, and he went to the big map on the wall and he said, “We had — ,” and he started going through the numbers of missiles that they had targeted for New York and Chicago [Illinois], all our major cities. After he’d completed, he walked over and he sat down and he folded his arms and looked at me.

    I remember saying, “Well, sir, I know that you did exactly what you thought was the right thing to do for your country.” I said, “At the same time that you were doing that, I was sitting in a [Boeing] F-100 [Super Sabre] in Aviano, Italy, with a nuclear bomb strapped under the belly,” and I walked up and I pointed at Aviano, Italy, and I said, “I had one target, one bomb and one target only, but I felt I was doing the same thing for my country that you were.” I said, “My target was this airfield right here,” and it was back in Hungary; it was not in Russia, but it was in the Soviet Union. I said, “That was my target.” And it’s amazing, the intelligence that the Russians had on us at the time.

    He said, “Yes, I know.” And he said, “You would not have made it.”

    I said, “Well, I think I would have made it.” I said, “My route was to fly up this –” We had memorized our routes so that we didn’t have to look at maps, so I followed the track up the river valleys and I said, “You had antiaircraft here and you had radar here, so my route was to go around these hills and on in.”

    And he started to scowl and he said, “You would not have made it back.”

    I said, “No, I would have run out of fuel before I got back, but I was going to bail out in Austria. I felt if I could get to Austria, why, I would make it back.”

    And he sat there and he just scowled at me for a while, finally pushed his chair back and he got up and — he was a big guy — and he started to walk around his desk toward me, and I figured that — he wasn’t smiling at all, and I thought he was going to cold-cock me, so I figured I’d stand up and take it like a man. [Laughs]

    I stood up and hadn’t really got my breath from standing up and he just grabbed me and gave me one of those big Russian bear hugs and he said, “It’s better this way, isn’t it?” [Laughs]

    I recall just before he said that, when I finished I said, “This was what I was doing, but I really think that we have the opportunity to take off our gloves and do something together for the whole world.” And that’s when he didn’t smile, but he walked around and he said, “It’s better this way.”

    So he set the commission up. A month later, when Tom went over, it was all set up and ready to go, and it’s been working for over — well, it’ll be ten years coming up next year. And even Academician Utkin said, “We’ll try this, but these things don’t ever last more than a year or two.” [Laughs]

    **

    For more on the contrasting philosophies of the US and Soviets with regard to their fighter aircraft and space programs, and what it took to reach accomodation, read on from the tail end of page 16.

    Man in the moon: armed and dangerous

    Sunday, March 31st, 2013

    [ by Charles Cameron — just kiddin’ ]
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    Chris Anzalone keeps us all up to date on the videos, graphics and anasheed used by various jihadist movements in recruitment and rejoicing/mourning via his various Ibn Siqilli blogs. Yesterday, he featured the graphic above in a post on Jabha al-Nusra, and it caught my eye.

    The crescent moon (normally accompanied by a star) is a symbol of Islam. The man, Chris tells me, is “just the silhouette of a photo of a gunman from a photograph, which, if I remember correctly, isn’t from Syria”. The outline map, however, is of Syria. The black banner motif inside the map, reading “No god but God” and showing the Prophet’s seal, is now pretty widespread, but with some AQ and sometimes specifically Khorasan / Mahdist associations.

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    The man in the moon is a jihadist? Does NASA have drone capability? Is this what President Reagan‘s “Star Wars” Strategic Defense Initiative was all about?


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