Friday, July 5, 2013

Fused Games: Dominoed Unfolded Dice, 2013


Veronika Tzekova, Dominoed Unfolded Dice, 2013
Veronika Tzekova, Dominoed Unfolded Dice, 2013

The dominoes always looked like massive deconstruction to me. Numerous fall-a-parts. Of individual dices, which partly kept their integrity, some with their pips faded away and some involved in primordially impossible combinations.
The Dominoed Unfolded Dice is actually a puzzle game fusing generic gaming devices like dominoes, dice, and playing cards. The imagination challenge is to fictionally construct a 3D object out 2D elements. The game has rules and is to be played alone or with two players. These will not follow here as my primary interest in this game post is the abstraction and construction of new integral system from the visual chaos and multiplicity of another such. Raw and refined, mathematics can be a poetry. I hope you see why because I can’t tell you.

The Dominoed Unfolded Dice set consist out of 12 tiles out of the 28 tiles of the standard double six dominoes set. The 12 ones are these that stand for possible adjacent dice walls, which leaves out the blank ended, the doubles and 1|6, 2|5 and 3|4. Keep in mind that the opposite sides of a die traditionally add up to seven, implying that the 1, 2 and 3 faces share a vertex; these faces may be placed clockwise or counterclockwise about this vertex.

The hexomino is a polygon in the plane made of six equal-sized squares connected edge-to-edge. When rotations and reflections are not considered to be distinct shapes, there are 35 different free hexominoes.

The domino is a polygon in the plane made of two equal-sized squares connected edge-to-edge. When rotations and reflections are not considered to be distinct shapes, there is only one free domino.

A polyhedral net for the cube is necessarily a hexomino, with 11 hexominoes actually being nets. If these are to be built with dominoes only 6 are feasible.

In this case the unfolded dice, the hexomino is to be drawn with dominoes. We have 12 different tiles to be arranged in different combinations of 3, so that each number of the dice (1-6) is present only once and and if folded should become a real dice. These arrangements can take 6 possible shapes. 

:) Here are some verses:







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