The DOGIC III is easier to solve then the 10 and 12 color versions and make a nice start to learn the many challenging moves of the DOGIC puzzles.
People have been playing with logic toys for thousands of years. These may have varied in complexity and design, as well as materials used, ranging from stone to wood to plastic and microprocessors. but they all have one thing in common to train our minds whilst being entertaining, the results will also be beneficial in our daily life, home and work place or school. Simply put, they teach how to break major unsolvable problems down into several small solvable challenges. If we come up against obstacles we do not like, we can simply change them.
DOGIC, is Fun to play and solve, the more you play the smarter you become.
The Idea of the Puzzle: is to train our logic and exercise our mind. Please read the following carefully so that you can enjoy what Dogic has to offer in an uncomplicated way. When you follow these simple guide lines you will see that Dogic is much easier to solve then first imagined.
Puzzle Description: This beautiful puzzle has the shape of a regular icosahedron. Its 20 triangular faces are divided into 4 regular triangles. There are two types of moves: Twisting the 5 complete faces meeting to a vertex (face twist), or the 5 small triangles at a vertex (tip twist).
When the puzzle is solved, each vertex has 5 triangles of the same colour. The central triangles of each face have three colors, and these should match the adjacent triangles. Many interesting patterns such as "Dogic II" can also be created.
Mechanism:
Dogic, is made of an amazing number of parts. There are 60 vertex triangles, 20 central triangles each with 3 inlaid colored parts, 60 internal pieces to keep the vertex triangles together, 30 internal pieces to keep the central triangles together, a central piece with twelve axes each with two rotating parts and a screw. This gives an incredible 267 pieces (or 194 moving parts).
This puzzle was patented by George and Robert Vecsei in Hungary on 20 October 1993 (HU214709), and the patent was granted nearly 5 years later on 28 July 1998.
The number of positions:
There are 60 tip pieces and 20 centers with 3 orientations, giving a maximum of 60!?P20!?P320 positions. This limit is not reached because:
* only even permutations of centers are possible (2)
* the total twist of the centers is fixed (3)
* some tip pieces are indistinguishable (5!12 )
* the orientation of the puzzle does not matter (60)
This leaves 59!?P20!?P319 /2 /5!12
=21,991,107,793,244,335,592,538,616,581,443,187,569,604,232,889,165,919,156,829,382,848,981,603,083,878,400,000 = 2.1?P1082 positions.
Despite its apparent complexity, the solution is not very difficult. But just in case you do have some difficulty in solving Dogic, some help is provided by clicking on the solution link.
Dogic, is one of the hardest puzzles made, similar to my Prof. cube, Megaminx and Impossiball, ideal for those who want a real Mental-Challenge or new Paper-Weight. |