the game apparatus of the invention , as illustrated in fig1 comprises a triangular game board 1 which is divided into sixteen smaller equilateral triangles 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 and 18 . as shown in fig1 the triangular game board 1 is formed into sixteen equilateral minor triangles 3 to 18 each having three inner , joined stereometric lines , indicated by broken lines , and joining at an inner imaginary point or pole . each of the areas 3 to 18 of the game board 1 is an equilateral triangle . the triangular areas are formed by three groups of spaced parallel lines . each group of lines is parallel to a corresponding side of the game board 1 . thus , one group of lines 19 , 20 and 21 comprises three lines parallel to a side 22 of the game board 1 . a second group of lines 23 , 24 and 25 comprises three lines parallel to a side 26 of the game board 1 . a third group of lines 27 , 28 and 29 comprises three lines parallel to a side 30 of the game board 1 . the three groups of lines thus form 16 triangular areas 3 to 18 . the outer stereometric line of the triangular game board 1 and one of the parallel lines of each set , as well as the three inner stereometric lines of each of the 16 minor triangles , are red , to symbolize the time coordinate of the entire synthesis . the 15 minor triangles 4 to 18 are outlined in black or blue to symbolize each of the fields or name characteristics . when a viewer looks at the poles for each field , he or she accounts for three measures . these measures are the three basic dimensions x , y and z , plus a fourth measure or coordinate , which is the inner pole and represents the fourth dimension , or time t . the illusory effect is tetrahedral and kinematic . the tetrahedral principle in optical illusion is seen when the viewer looks at the inner imaginary point or pole . the illusion of the tetrahedral principle is illustrated by the polarities of the minor triangles . each minor triangle has four poles , the inner one of which is the imaginary point or pole at which the three stereometric lines meet within each of the minor triangles . when the viewer looks at the imaginary poles , he or she has the illusion of dimension or extension , or of receding or extending away at one instant of time , and of approaching the viewing at another instant of time . the game board 1 is flat , but the illusion of the depth dimension is provided when the viewer looks at the inner pole of a minor triangle . the outer stereometric lines of the game board 1 extending from the apex of the peak minor triangle 3 , which is marked time , and the inner three lines of each of the remaining 15 minor triangles are red . the red lines symbolize the order and duration of time with each of the 15 minor triangles . the black or blue lines forming the 15 minor triangles symbolize their distinctive fields or subject meaning . as the viewer looks at the entire game board , at one instant of time , he or she sees an interior cube set of figures , and at another instant of time , he or she sees a set of three stars . the optical illusion of motion , known as kinetic art form , is visible to any viewer . the game board symbolizes the tetrahedral principle in the four coordinate interrelated field x , y , z and t . the viewer looks at the four poles of each minor triangle , and not at the space . when the inner pole of each of the fifteen minor triangles 4 to 18 is viewed , the viewer has the optical illusion of change , motion or t coordinate . the minor triangle 3 is the unifying idea , marked time , of the remaining fifteen minor triangles . the minor triangle 3 is red , and may actually be positioned anywhere among the remaining fifteen minor triangles 4 to 18 . the minor triangles 4 to 18 in descending order from left to right are respectively marked biotic , psychological , analytical , motional , physico - chemical , linguistic , historical , ethical , numerical , spatial , economic , sociological , aesthetic , juridical and faith . the order of the fifteen minor triangles 4 to 18 is irreversible . that is , the fifteen minor triangles 4 to 18 are fixed in their relationship to each other . the game apparatus of the invention further comprises a pair of sub - minor triangles . the sub - minor triangles 31 and 32 extend from opposite ends of the base side 21 of the peak minor triangle 3 of the game board 1 . the sub - minor triangles 31 and 32 have base sides 33 and 34 , respectively , coplanar with that 21 of the corresponding peak minor triangle 3 . the sub - minor triangle 31 is marked player subject . the sub - minor triangle 32 is marked my life . the game apparatus of the invention further comprises a plurality of groups of substantially flat triangular plates such as , for example , triangular plates 35 and 36 of fig2 . each group of triangular plates comprises a plurality of plates of a single color different from the colors of the plates of the other groups of plates . the plates 35 , 36 , and so on , are in sets of four different colors . a single color set may represent a single player subject . a player subject represents any phenomenon , species , thing , event , and so on . the plates 35 , 36 , and so on , are dimensioned so that each fits on each of the 16 minor triangles 3 to 18 of the game board 1 , and on the sub - minor triangles 31 and 32 . the game apparatus of the invention is called tetraworld , which is a four - way word , meaning players kingdom or any set of things , acts , events , etc , and is a four - way meaning sentence : the first game , model set has two basic problems . these are the four kingdoms in the world , in our universe , which are man , the mineral - inorganic kingdom , the animal - zoological kingdom and the flora - organic kingdom , and the sciences , which are examples of the 15 meanings , with illustrations for each one . thus , for example , the science of history relates to the battle of waterloo . what do the players know about the world ? they design how bright they are . the game played with the game apparatus of the invention is a new think - see building game and a game of integrity . the players operate by using their heads . they design to find out what is relevant . they challenge themselves and each other in relating nature , people , anything and everything they know in the world . the game is comprehensive . the 15 minor triangles , excluding time , are to be filled in with the colored triangular plates while playing the game . these 15 minor triangles represent all the typical functional characteristics in the world . they are arranged in a simple to complex order , from numerical to trust or faith . time is not one of the 15 characteristics . time unifies the whole world of tetraworld . time flows in and out and through all 15 characteristic meanings . time is the fourth dimension . the several color triangular plates are for the players or subjects in the tetraworld game . one color triangular plate is provided for each player or subject and another , different color triangular plate is provided for the player as object . the players are participating wonderers about the world . they position the characteristics of the player subjects . the players can play as many as four player subjects , since there is room for four in a triangle . after that , the triangular plates may be overlayed . they then form star relations . several patterns may be formed in the game . these include a bow - tie , or single bond relationship , as shown in fig3 a , a diamond or double bond relationship , as shown in fig3 b , a triangle pattern or four way relationship bonding , as shown in fig3 c , a halo or hexagon , or six way relationship bonding , as shown in fig3 d , a double halo or synergy two systems in relationship , as shown in fig3 e , a tetra halo or four - dimensional relationship systems , as shown in fig3 f , and a double triangle pattern or overlay or overlay star relationship , on two levels , as shown in fig3 g . the fifteen modalities , are in order from simplicity to complexity , and are in adjectival form to avoid confusing modal active function with concrete thing . the fifteen modalities have the following meanings . spatial means the aspect of extension , geometric forms enclose , aspect of circumstance in place , location . physico - chemical ( energetic ) means the modality of the inorganic aspect , structures of elements , quanta , characteristic of &# 34 ; energy &# 34 ; proper . biotic means the characteristic of life function in organic , in sense aspect , in aspect of stimulus responsive . analytical means the modal aspect of the intuitive , memorable , the naive or pre - logical irrational and the logical - rational ability to make distinction , for example , subject / object distinctions and relationships . historical means the cultural aspect of initiative agents or persons to construct institutional function , such as family , state , etc , characteristic aspect of tradition , aspect of present circumstance , situation characteristic function or self - determining function to control and direct information of culture . linguistic means the modal aspects of meaning and direction through signification , such as languages , mathematical constructive ability , and symbolization ability , such as tokens , forms , etc . sociological means the aspect of social intercourse , social formative ability which permits community and communication , utilizing prior modality of the linguistic , of the family , the sanctuary aspect of temple , church , the educative aspect of the school , etc . economic means the characteristic of saving related to scarcity of a good , resource , the distributive functional ability , also the serviceability . aesthetic means the modal aspect of beauty , ability to order , harmonic function , the mythological active function , functional arts . juridical means the functional aspect of justice , involves the law and rule ability , aspect of obedient function , recognition of awe aspect , the retributive and attributive aspects . ethical means the active function of love which activates in kindness , empathy , compassion , and divine love or agape . the time minor triangle 2 links the fifteen minor triangles 4 to 18 in order and duration . the 15 minor triangles 4 to 18 constitute the heart of the game of the invention , since they constitute its meaning . the player subject sub - minor triangle 31 indicates any subject to be designed with the time plus the fifteen characteristic means of the game board . the my life sub - minor triangle 32 is intended to indicate the designer or player playing the game . the purpose of the game of the invention is to design meaningful interrelated structures of any phenomenon or problem the designer or player wishes . the result is a visible demonstration , with the color sets of the plates 35 , 36 , and so on , of individual , comparative and complex structures , each of which has meaning . each color of the plates 35 , 36 , and so on , represents a player subject . the plates 35 , 36 , and so on , are dimensioned to permit four different subjects on any of the minor triangles 4 to 18 , and four on the time minor triangle 3 . the directions for playing the game of the invention are as follows . the players look at the board and familiarize themselves with the name meanings of the 15 characteristics . a player plays himself first . he asks , &# 34 ; do i possess whatever the characteristic function is ?&# 34 ; the player then places a color triangular plate on player thereby turning himself into a player and places a color triangular plate on time , since we live in a time world . the player then proceeds to find the characteristics for human beings , themselves . the players try to position the triangular plates so that they touch relate . when the player finishes , he compares his findings with an answer sheet no . 1 . before he looks at the answer , he asks himself which characteristic is the lead qualifying one for man , for us . a lead characteristic is the one function which is the speciality to be actualized , the destiny to be realized . the second player selects another color triangular plate for animal or zoological kingdom . he places a color triangular plate on player and on time , as he did for himself . he then places color triangular plates on the characteristic functions which he thinks belongs to the subject animal , as subject , intrinsically . the second player tries to find the lead characteristic . it will be the one in which the player is destined to actualize in the world . he marks it with an l on the plate if he finds one . he compares his findings with an answer sheet no . 2 . a third player then takes another color plate for the vegetable or flora kingdom , like tomatoes . he places a color plate on player and another on time for the flora life kingdom . the player then finds the intrinsic characteristics for this kingdom on the board . he places plates on the functions he finds . when he is finished , he tries to determine which one is the lead characteristic , as did the second player . if found , it is marked . the findings are compared with an answer sheet no . 3 . a fourth player takes a fourth color triangular plate for the mineral inorganic kingdom , like a rock or atom . he places a color plate on player and another on time . he then tries to find the characteristics for mineral world as he did for the others . the player also tries to find the lead qualifying characteristic for this kingdom . he marks it with an l if he finds one . he then compares his answers with an answer sheet no . 4 . all four kingdoms have then been played . the players then place their four different color plates back on the board , starting with the human or man first . a special four dimensional visual pattern emerges , which is in systematically related , synergetic operation . these are the four systems in motion . this is compared with the answer sheet no . 5 . the players then study their first completed problem . only five kingdoms have lead qualifying characteristics . these are animal , with the lead in psychological , vegetable , with the lead in biotic , mineral with the lead in physico - chemical or energetic . man has no lead qualification , since each and all the functions are aspects equally for human beings or man . a complete triangle is formed on time as well as with the four players . four triangles are filled on the characteristics . if closely observed , one sees the four - dimensional , actually moving , synergetic systems operating in our universe symbolically . man participates . humans are indeed needed to operate with the world , to help to make it work . this is presented by the game apparatus of the invention in visual conceptual logic for the first time . this new logic is not syllogistic , but correlative logic . it is also observed that man does not have a lead qualifying special function hereinbefore mentioned . man is really a generalist . he needs to choose to become a comprehensive thinker and cooperative active doer in the world . if one observes closely , one sees also that man &# 39 ; s total functions form in a bow - tie relationship pattern a larger moving pattern which is three intersecting stars with a synergetic moving constellation pattern . once the four kingdoms systems have been completed , the players may proceed to another problem involving the sciences and illustrations . a viewer of the game board 1 sees what appears to be a three - dimensional object whereas the game board is essentially two - dimensional . the inner pole of each minor triangle on the game board makes the two - dimensional minor triangle appear to a viewer to be a three - dimensional tetrahedron . furthermore , the viewer visualizes the fourth dimension , which is time , when the object is moving in time with respect to a frame of reference which the eye must also be able to see during the same instants in time . when the object is said to move , it is understood to mean that it changes its spatial coordinate position with respect to the time coordinate . while the invention has been described by means of a specific example and in a specific embodiment , i do not wish to be limited thereto , for obvious modifications will occur to those skilled in the art without departing from the spirit and scope of the invention .