Two decks of quadratic dominoes.
Checkerboard for quadraminoes.
Playing positions of two decks.
Picture first.
Playing positions of proportional groups.
Picture second.

Description of gaming design. Basic design of
any domino game are numbers which are put on playing pieces, but
principle of dominoes can be realized differently, namely digital
designations can be represented by different signs and can be
derivatives of different numerical systems.
Classical dominoes have rectangular forms and signs of twofold or
otherwise to tell pair digital combinations which are designated by
points, or can be designated by means of pictures if game sets are
intended for children.
Other variants of domino can have different geometrical forms and can
carry various digital designations derivative of every possible
mathematical systems of numbers.
If playing pieces of dominoes are square or otherwise to tell quadratic
then combinations of numbers are fourdigit, and are put at four sides
in the form of scale points. Such playing pieces have names: quadraminoes
or quadradominoes, or square quadratic dominoes.
There is the term "tetraminoes" but semantic meaning of this word is
used as names of geometrical figures in the Tetris or in other similar
logic puzzles, and consequently for naming of square dominoes it is
better to use terms of quadraminoes or quadradominoes.
As a trading name it is better to use the term "quadramino" if
manufacturers of board games and publishing companies, and also private
publishers will be interested in industrial production.
The optimal for human perception and most known among various board
games is the complete set of quadraminoes including 24 tokens with
fourdigit combinations of numbers from 1 to 3.
Package of the offered game design has two such quadramino decks or
complete sets in which tokens differ with presence or absence of dark
circles and different hachure drawings on backs, and also with color
circles and contrast focusing arrows on frontface areas.
Concerning focusing arrows quantitative structures of numbers on four
sides of playing pieces in two complete sets are equivalent. Namely if
tokens of quadraminoes are focused by arrows in any one direction then
two decks are directed by equivalent quantity of numbers in each of four directions.
Pay attention that directions of numbers in two complete sets are
equivalent, but not identical. For example, tokens of quadraminoes with
numerical combinations 1113 have different directions of focusing
arrows, that is possible to see in pictures at the left, and it is
possible to consider in rules of various games and puzzles or conundrums.
Two colors of quadramino tokens in each complete set designate
proportional groups in which too quantitative structures of numbers
concerning focusing arrows are equivalent.
Namely design quality of the offered logic board game is proportional
distribution of numbers according to four sides of squares which
elements of quadraminoes are. Direction of numbers of red and yellow and
also green and blue tokens in each of complete sets are equivalent, or
otherwise to tell are focused in regular orders.
Owing to such design two or four participants of game can play by tokens
of own complete sets, or proportional groups from structure of any one
or two decks, and thus players have equal chances to win a prize. And
also optimum playing interaction is provided if quadratic dominoes have
arrangements on squares of a checkerboard according to directions of
focusing arrows.
Belonging of tokens to proportional groups in structure of decks is
designated on backs by presence and absence of daggers.
The checkerboard of this variant of board game has 10 horizontal and 8
vertical rows of squares. Such configuration allows to have quadramino
tokens of two complete sets in initial playing positions as shown in
picture 1, and two proportional groups of structure of any one deck as
shown in picture 2.
Offered playing positions only show possible arrangements of quadraminoes
on squares of the checkerboard, but can be others. Scale points of
fourdigit numerical signs are shown in pictures by Arabian ciphers, and
schematic arrows correspond to orientation of tokens or printed cards.
Verticals and horizontals of the checkerboard have numerical and
alphabetic notations, and squares are light and dark as on a chessboard.
Central zone of the board or otherwise to tell 48 squares in the center
are allocated by contrast color, that corresponds to quantity of
quadramino tokens in two complete sets, namely 24+24=48. The allocated
central zone can be considered in a context of rules of various games
and puzzles or conundrums.
In total by means of the shown gaming design and mathematical system of
quadratic domino numbers it is possible to play various logic games and
to solve diverse intellectual conundrums or puzzles.
Rules of games and puzzles in a context of the present board game can be
very various as checker structure of the board multiply increases
playing potential of quadratic dominoes which are actually equivalent to chessmen.
Images of checkerboard and tokens or playing cards of quadratic
dominoes, and also rule and instructions of games and puzzles can be
downloaded in the PDF file: kvru.pdf.
This is PDF file where rules are written in Russian language, but you
can download images for printing to play according to own rule inventions.
I hope that this intellectual board game with quadraminoes will seem to you
entertaining and interesting!

Game design of quadratic dominoes can be constructed of fourdigit
numerical combinations in interval from 0 to 3.
Such game design contains 70 playing pieces in one complete set, that
has the name mega quadraminoes or quadratic megadominoes.
Mathematical design of numbers in such deck is very complex and
consequently is not optimum for rules of games, but can be interesting
as a logic puzzle or conundrum, and also as mantic system for
predictions because number 70 is connected with the calendar cycle of
"solar gates" in the Book of Secrets or Slavonic Enoch and also with
other cyclic calendars which allow to consider days and years.
Images of quadratic megadominoes, and also descriptions of mathematical
and mantic calendar systems are possible for downloading in the PDF file
on one of pages of this website. 