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That's a lot of dodecahedra! (25 in all)
Yes! The cubes really ARE dodecahedra. |
I'm very late - because "She who MUST be obeyed" ordered me to spend the entire weekend and bank holiday doing DIY and gardening. Unfortunately I am quite good at DIY and so she keeps forcing me to do more. When I mentioned that I had a blogpost to write she gave me a really dirty look and I began to smell burning before suddenly realising that my forehead was on fire! She now can use the laser burning stare without me even being able to tell - no running and hiding until it's too late!
I think it might be time for another little attempt at encouraging you to have a go at twisty puzzles. I
WILL keep trying you know! They are just so good that everyone should at least have a try and spend a while learning either the beginners solution or the
Ultimate solution.
This is quite a long post (OK, it's a
very long post) but I will show you lots of interesting possibilities with links to where you can get them. There is a whole new world out there for all puzzlers to try. In N America I would suggest using
Puzzle Master, who have a really good stock of twisty puzzles and in Asia I have begun to use
Cubezz.com - slightly more limited stock but amazing prices!
So having managed a cube (at least a 3x3 and maybe for the very adventurous the 4x4 too with all it's interesting little parities), what if you'd like to step it up a little? Add a little diversity of shape, give yourself some more movement, or even just vary the collection. After all, puzzlers are very interested in shapes and surely you cannot be satisfied until you have representatives of all the platonic solids!
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All 5 platonic solids - all are face turning |
In my "
advice to beginners post" I suggest that the next steps after a simple cube is to move to different turning mechanisms or to move to shape modifications to skew your vision. But an alternative approach would be to move to one or all of the different shapes shown above. BUT if you would rather keep your path narrow or you have already done the cube and alternative mechanisms then how about falling down the deep spiral of doom into the dodecahedra? It's not just one puzzle for you - it's a whole family of them!
Ah! This takes me back! It was amongst the first "different" twisties I bought several years ago. I still take it out to play even now. This is the very basic dodecahedral twisty and was designed many years ago by many people independently - Ben Halpern from USA, Boris Horvat from Yugoslavia, Barry Lockwood from UK and Miklós Kristóf from Hungary, and Kersten Meier (Germany) sent plans in early 1981. I have heard that Dr Christoph Bandelow from Germany obtained patents. The Hungarian version is notable as actually being in production. Shortly thereafter
Uwe Meffert (one of the forefathers of twisty puzzling) bought the rights to the Halpern and Meier design and marketed it as the
Megaminx.
It has 12 face center pieces which are fixed, 20 corner pieces with 3 orientations, and 30 edge pieces with 2 orientations each! The theoretical maximum number of places is therefore 30! x 20! x 2
30 x 3
20 positions but not all can be reached because only even permutations of edges are possible (2), only even permutations of corners are possible (2), only an even number of flipped edges are possible (2) and the total twist of the corners is fixed (3)
This leaves:
positions
or
100,669,616,553,523,347,122,516,032,313,645,505,168,688,116,411,019,768,627,200,000,000,000
or
1.01 x 10
68 positions or 101
Unvigintillion/Undecillion.
Now hold on, hold on! Don't run away now! Thats all the maths I'll give! The numbers sound horrific but then they already do for the plain old Rubik cube and you know that the cube is easy. In fact the simple 3x3 face turning dodecahedron can be solved with
EXACTLY the same method as the cube! Only a very minor alteration is needed for the megaminx. So it is really easy!! You can make it a bit tougher by giving the centre pieces an orientation - using Pochmann stickers for it from
Oliver's stickers.
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Still a megaminx - but now a "super" version |
So having decided that you love the idea of 12 faces, where could you go next? Well the sky is the limit! The first thing most puzzlers look for is to buy bigger (or smaller puzzles) and I was no exception. Having mastered the 3x3 equivalent, I went for a
2x2 version (called the flowerminx or Kilominx) and originally designed by David Litwin from Twisty Puzzles and manufactured by Uwe Meffert. I also went for a 4x4 version known as the
Master Kilominx by David Gugl and produced by MF8 which, like the 4x4 cube has a rather fun parity but also has a very interesting method of solving which does not produce parities and involves 2x2 block building.
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2x2 - Flowerminx |
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4x4 - Master Kilominx |
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How much pain do you want? |
This series continues with
Gigaminx (
5 layers),
Teraminx (7 layers) and even
Petaminx (
9 layers), all mass produced and available now (if you really want the biggest twisty puzzle there is then get this one and the price from cubezz.com is amazing). If you are loaded down with an excess of cash or have a huge urge to collect a series, then a six layer (Elite kilominx) was designed by
Grégoire Pfennig and made by Shapeways and may someday be available at auction. I don't have any of these as yet because I keep getting sidetracked by other toys! and to be honest they don't really add much to the challenge (just as a 7x7 cube is not really harder than a 5x5 once you know the basic process).