A geometric toy construction system, said system comprising:
- first and second groups of substantially flat, substantially planar construction pieces, each of said first-group and second-group construction pieces terminating at three or more straight edges;
- means formed on said edges for selectively connecting and disconnecting said first-group pieces one to another, said second-group pieces one to another, and said first-group pieces to said second-group pieces,
- said connecting means including one or more pairs of arms integral with and extending outwardly from any one of said construction pieces,
- each of said arms having a body generally perpendicular to one of said construction pieces, said body terminating in a pair of protuberances extending perpendicularly from said body to define each of said arms as generally T-shaped,
- said connecting means further including one or more pairs of posts integral with and extending outwardly from and generally perpendicular to any one of said construction pieces,
- each of said posts having at least one socket formed thereon sized to fit one said protuberance in a rotatable fit,
- a pair of said arms positioned symmetrically about the center point of any said edge identified as a "plus connector set", and a pair of said posts positioned symmetrically about the center point of any of said edges identified as a "minus connector set",
- each of said edges of said first-group pieces having either a first plus connector set or a first minus connector set formed thereon,
- each of said edges of said second-group pieces having either second and third plus connector sets, or second and third minus connector sets formed thereon,
- the arms in said first plus connector set are a third standard distance apart,
- the posts in said first minus connector set are a second standard distance apart,
- the arms in said second plus connector set are a first standard distance apart,
- the posts in said second minus connector set are a fourth standard distance apart,
- the arms in said third plus connector set are a fifth standard distance apart,
- the minus posts in said third minus connector set are a sixth standard distance apart,
- said first, second, third, fourth, fifth and sixth standard distances increase progressively in length from said first to said sixth,
- said first, second, third, fourth, fifth and sixth standard distances being selected to enable the interconnection of a first plus connector set with a first minus connector set, a second plus connector set with a first minus connector set, a first plus connector set with a second minus connector set, and a third plus connector set with a third minus connector set, thereby allowing the interconnection of said first-group and second-group construction pieces about a common axis.