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foldable map of Ida
chuckclark
post Oct 27 2008, 12:57 PM
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Here is a constant-scale natural boundary map of Ida that folds to a decent replica of the asteroid. Map edges are Ida's major ridges.[attachment=16299:Ida_MaxRidge_post.jpg]
[EDIT] Here it is again with the photomosaic properly credited; apologies to M. Nyrtsov for my oversight.
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djellison
post Nov 15 2008, 09:26 PM
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GENIUS
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chuckclark
post Nov 17 2008, 02:01 PM
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QUOTE (djellison @ Nov 15 2008, 04:26 PM) *
GENIUS

Well, assuming you mean the ability to look at problems from outside the usual box, I plead guilty, and cravenly point the blame at having when back in grammar school specialized in play.

Or perhaps you mean the lucky magic that constant-scale natural boundary maps fold to replicate their originating object. I trace that idea to Albrecht Durer c1519, although that's a coincidental trace I owe entirely to the insights of the art historian Erwin Panofsky and his pal Marston Morse. I didn't uncover that connection to Durer's "prototopological" mappings until well into this project. Tell the truth, I had the good fortune as a first-grader to be challenged to "fix the problem with all these world maps"; problem being, "they're all stretchy at the edges."

And as for genius, I think it goes in greater measure to the slow-witted, like me. It took a good nine years of making these maps before it dawned on me that their essential characteristic is to rigorously put "constant-scale" (the equator on a Mercator or simple cylindrical map) at the edge -- edge no more stretchy, just what my challenger asked for! The "natural boundary" requirement is merely gravy, ensuring that the map's various and sundry lobes are composed of districts that make sense -- in this case valleys (aka basins or dales) -- rather than and abstract (pragmatic . . . objective) triangles or gores.

The general trick, seems to me, is to be able without prejudice to name something new. (For more info, see M. Faraday's confessions on his discovery of electromotive force.)

Here is the foldable Ida with the Tayfun-corrected ribs:
I haven't yet had time to try putting it together, so the caveat still holds about the ribs need shaving where the folded object differs from Ida's true shape. Also the caveat that I may have failed to maintain constant-scale at map edge, probably near point "n."
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- chuckclark   foldable map of Ida   Oct 27 2008, 12:57 PM
- - jumpjack   QUOTE (chuckclark @ Oct 27 2008, 02:57 PM...   Nov 6 2008, 08:24 AM
|- - dilo   I tried with the aid of my son but result was very...   Nov 6 2008, 03:07 PM
|- - chuckclark   I've put it together twice -- I'll post a ...   Nov 6 2008, 05:31 PM
- - Phil Stooke   Does my old friend Maxim Nyrtsov read this? Hi Ma...   Nov 6 2008, 06:14 PM
- - jumpjack   It was difficult for me even to build a paper Eart...   Nov 7 2008, 07:26 AM
|- - chuckclark   jumpjack: Here is a link Phobos Arts and Crafts th...   Nov 7 2008, 02:16 PM
|- - jumpjack   QUOTE (chuckclark @ Nov 7 2008, 04:16 PM)...   Nov 10 2008, 08:12 AM
- - Tayfun Öner   I built the physical models that Chuck is using to...   Nov 7 2008, 11:41 AM
|- - jumpjack   QUOTE (Tayfun Öner @ Nov 7 2008, 01:41 PM...   Nov 7 2008, 12:52 PM
- - djellison   What format are those models available in?   Nov 7 2008, 12:13 PM
- - Tayfun Öner   I can convert the models to most popular formats. ...   Nov 7 2008, 01:06 PM
|- - jumpjack   QUOTE (Tayfun Öner @ Nov 7 2008, 03:06 PM...   Nov 7 2008, 01:20 PM
- - chuckclark   OK, I corralled a photographer, (S. Adkins) to tak...   Nov 10 2008, 01:33 PM
- - Tayfun Öner   Chuck the comparison photo is really impressive. ...   Nov 10 2008, 03:13 PM
|- - jumpjack   QUOTE (Tayfun Öner @ Nov 10 2008, 05:13 P...   Nov 10 2008, 06:52 PM
|- - chuckclark   Thanks, Tayfun. Like I say, the view from the oth...   Nov 10 2008, 08:42 PM
- - Tayfun Öner   By hand I presume you mean manually, no I will mak...   Nov 10 2008, 08:43 PM
|- - chuckclark   this may surprise you but I don't have much fa...   Nov 10 2008, 08:46 PM
- - Tayfun Öner   Here is a rendering from a similar angle.   Nov 11 2008, 05:20 PM
- - Tayfun Öner   Here are the Phobos slices. As I don't know ho...   Nov 11 2008, 06:00 PM
|- - chuckclark   Well, so far so good. I downloaded and unzipped t...   Nov 11 2008, 08:14 PM
|- - chuckclark   QUOTE (Tayfun Öner @ Nov 11 2008, 01:00 P...   Nov 15 2008, 06:54 PM
- - chuckclark   Okay, so borrowing a little from both systems, her...   Nov 15 2008, 07:17 PM
- - Tayfun Öner   Chuck, that is brilliant. Here are your cuts both ...   Nov 15 2008, 07:58 PM
- - djellison   GENIUS   Nov 15 2008, 09:26 PM
|- - chuckclark   QUOTE (djellison @ Nov 15 2008, 04:26 PM)...   Nov 17 2008, 02:01 PM
- - Phil Stooke   Very interesting and entertaining stuff. I think ...   Nov 17 2008, 04:10 PM
- - Tayfun Öner   Here are ribs for Eros.   Nov 21 2008, 06:59 PM
|- - chuckclark   QUOTE (Tayfun Öner @ Nov 21 2008, 01:59 P...   Nov 21 2008, 10:02 PM
- - Tayfun Öner   Eros ribs updated, please note that north is up fo...   Nov 22 2008, 10:56 AM
- - jumpjack   I just discovered that Google Sketchup can easily ...   Dec 29 2008, 10:00 PM
- - paxdan   Here is a link to SliceModeler http://blog.makezin...   Jan 6 2009, 06:08 PM
- - jumpjack   QUOTE (paxdan @ Jan 6 2009, 07:08 PM) Her...   Jan 6 2009, 06:58 PM


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