Building blocks forming hexagonal and pentagonal building units for modular structures

A building structure comprised of a plurality of substantially hexagonal building units and a plurality of substantially pentagonal building units connected to each other by a plug, wherein:

• (a) said substantially hexagonal building unit consists of six first building blocks, wherein:
• 1. each of said six first building blocks is a five-sided building block comprised of a first outside face, a first inside face, a first wall, a second wall, and a third wall, wherein:
• (a) said first outside face is opposed to said first inside face and is connected to said first inside face by said first wall, said second wall, and said third wall,
• (b) each of said first wall, said second wall, and said third wall is comprised of a recess which is disposed between said outside face and said inside face,
• (c) said first outside face is in the shape of a first isosceles triangle formed by a first base, a first left side, and a first right side,
• (d) said first inside face is in the shape of a second isosceles triangle formed by a second base, a second left side, and a second right side,
• (e) said first isosceles triangle is larger than said second isosceles triangle,
• (f) the angle formed between said first base and said first right side is equal to the angle formed between said first base and said first left side and is from about 60.6 to about 60.8 degrees, and
• (g) the angle formed between said first base and said first right side is equal to the angle formed between said second base and said second left side and said second base and said second right side;
• (b) said substantially pentagonal building unit consists of five second building blocks, wherein:
• 1. each of said five second building blocks is a five-sided building block comprised of a second outside face, a second inside face, a fourth wall, a fifth wall, and a sixth wall, wherein:
• (a) said second outside face is opposed to said second inside face and is connected to said inside face by said fourth wall, said fifth wall, and said sixth wall,
• (b) each of said fourth wall, said fifth wall, and said sixth wall is comprised of a recess which is disposed between said second outside face and said second inside face,
• (c) said second outside face is in the shape of a third isosceles triangle formed by a third base, a third left side, and a third right side,
• (d) said second inside face is in the shape of a fourth isosceles triangle formed by a fourth base, a fourth right side, and a fourth left side,
• (e) said third isosceles triangle is larger than said fourth isosceles triangle,
• (f) the angle formed between said third base and said third right side is equal to the angle formed between said third base and said third left side and is from about 54.5 to about 54.7 degrees, and
• (g) the angle formed between said fourth base and said fourth right side is equal to the angle formed between said fourth base and said fourth left side and said third base and said second right side.