Tessellating board game

A game apparatus for use by a plurality of players that simulates intrastellar and interstellar navigation and economic development subordinate to a universal moral order, thereby effecting synergy between the players' advancement of each's economic interests and the players' sacrifices for the advancement of others, and comprising:

• a planar game board means having the shape of a regular hexagon whose center is the common center of a plurality of concentric rings of contiguous hexagons tessellated within and between rings, the outermost of which concentric rings contains six non-hexagonal polygons equiangularly positioned about the common center, enabling the outermost ring to tessellate with linearly contiguous polygons tessellating said game board's six sides, which boundary polygons conjoin with the boundary polygons of a second, congruent and identically tessellated, adjacently placed said game board means, aligning vertex to vertex any side of one game board to any side of the other, to form a row of regular hexagons along the shared edge;
• thereby enabling a plurality of said game boards to be tessellated in a manner extending without interruption the internal, concentric polygonal paths of one into the identical internal, concentric polygonal paths of another,
• whereby the interrelation of adjacent stellar gravitational fields, universally spherical in structure, is cross-sectionally simulated;
• a plurality of planet marker means, wherein each said planet marker is advanced within one of said concentric rings according to predetermined pattern and synchronization;
• a plurality of spacecraft marker means, wherein each said spacecraft marker is distinguished according to player,
• wherein each said player's collection of spacecraft markers are distinguished according to class,
• wherein the player's spacecraft of particular said class are individually distinguished;
• a plurality of planetary resource marker means, wherein each said resource marker is distinguished according to resource variety;
• a plurality of player parameter display means, one for each player, wherein each said parameter display comprises:
• (a) spacecraft identity markers, each of which identifies one said spacecraft marker in play on the game board, and
• (b) for each said identity marker additional said display elements comprising speed markers, fuel markers, and resource markers, whereby the speed, fuel, and resource cargo of each spacecraft marker in play is disclosed for all players to know;
• a navigation means, including player discretion, governing the interaction between said spacecraft markers, said central star figure, said contiguous paths of polygons, and said planet markers wherein spacecraft marker trajectory consisting of position and orientation upon the game board, spacecraft marker speed, and spacecraft marker fuel are altered with predetermined pattern and, according to other predetermined patterns, not altered;
• a plurality of player grace marker means, wherein each said grace marker is distinguished according to player grace level, wherein each player's grace level determined by their decisions to assist and not assist other players is represented,
• whereby the morality accruing to an interstellar civilization from its member's collective decisions regarding the members of other civilizations is represented;
• a plurality of society marker means wherein each said society marker is distinguished according to society complexity;
• a plurality of knowledge marker means, wherein each said knowledge marker is distinguished according to varied knowledge category and level for each said category;
• said player parameter display means further comprising (a) said grace markers and (b) said knowledge markers;
• a plurality of instructions, each designating a distinct impairment of specific said classes of spacecraft markers and society markers of specific said complexity, coupled with a game rule requiring, in the circumstance that a player receives one of said instructions, other players, when predetermined criteria are fulfilled, must decide whether to use their own game markers comprising spacecraft markers, society markers, and knowledge markers to release said instruction receiving player from impairment of their game marker,
• whereby one player choses to assist another;
• a frequency distribution over a range of numbers and a random function device generating said distribution and for the distribution a plurality of mappings between said moral levels and said numbers in the frequency distribution's domain, wherein the mappings determine whether a player receives said impairment instruction;
• said spacecraft marker classes differentiated according to capabilities, comprising:
• (a) number of said resource markers a spacecraft marker can transfer between game board areas using said player parameter display means, whereby spacecraft cargo capacity is simulated,
• (b) immunity from said instructions of impairment,
• (c) projection of said immunity from impairment over other spacecraft markers and society markers;
• said knowledge markers of different category and level for each category forming a knowledge tuple for each player, and each said impairment instruction including a knowledge tuple to which the instruction receiving player compares their knowledge tuple to determine whether each knowledge category level constituting their tuple is equal to or greater than the impairment instruction's tuple's corresponding knowledge category level, the occurrence of said multiple inequality for all said category levels resulting in the player avoiding the impairment instruction,
• whereby is simulated a society's use of knowledge to preserve itself by preparing for and thereby avoiding destructive events and by recovering from destructive events;
• a plurality of external planet marker means, one for each said planet marker, positioned apart from said game board,
• wherein each said external planet marker is partitioned by indicia into areas associated with each player,
• wherein each said partitioned is used to display said society markers and said resource markers belonging to its said associated player,
• wherein each external planet marker is associated with a distinct planet marker and that planet marker's said distinct resource,
• whereby a stationary platform is obtained for planet markers revolving upon the game board,
• whereby commerce transacted on particular planets is simulated;
• said spacecraft markers, society markers, resource markers, and knowledge category levels exchanged between players according to practices sometimes fixed by player agreement at a game's beginning, sometimes negotiated freely between players at the time of exchange, and sometimes fixed by players having achieved on one or more said external planet markers society markers of predetermined complexity, wherein the sale of knowledge category level does not reduce the seller's said category level because knowledge is not lost when distributed,
• whereby is simulated capital markets;
• each said society marker after its establishment on said external planet marker causing to be distributed to its player on predetermined play rounds resource markers and knowledge level increments in some mix of said knowledge categories,
• whereby is simulated the production of materials and knowledge by societies;
• said game board used tessellated with a plurality of additional congruent and identically tessellated game boards and said game board used singly, without tessellation with additional game boards;
• whereby respectively is simulated multiple and single stellar systems;
• said single game board configuration and said tessellation of a plurality of game boards having predetermined hyperspace jump polygons between which said spacecraft markers can move in one step regardless of the number of polygons between them composing one of said contiguous polygon paths;
• whereby is simulated three dimensional euclidian space folded upon itself in a higher dimension and forming hyperspace jump locations where those folds coincide in euclidian space;
• said hyperspace jump locations represented by hyperspace jump markers, wherein said hyperspace jump markers are positioned upon varying said intraboard and interboard polygons;
• said multiple game board configuration having rules comprising:
• (a) synchronization of player turns that are sequential in the context of player turns on a single game board and simultaneous in the context of said sequenced player turns on one game board progressing independent of sequenced player turns on another game board, and
• (b) an alternative synchronization of player turns upon all game boards coordinated by the simultaneous advancement of planets on all game boards, whereby is enabled the plotting of complex spacecraft marker trajectories involving traverses of planet markers on multiple game boards,
• whereby is simulated spacecraft trajectories in multistellar planetary systems;
• a mathematical formula yielding a number, the independent variable, as a function of two dependent variables:
• grace level and knowledge level;
• which independent variables, calculated for each player, are the scores determining the game winner,
• whereby is simulated compassion's amplification of knowledge to establish the supreme society.