Some of these regular polygons can be used to tile or cover a plane ˇ made into tesselations.


Some regular polygons like the pentagon and septagon can't be used to cover a plane.

The plane covering polygons can be used to approximate shapes,
for example a computer printer will use squares to draw bitmaps approximating different shapes
This is the power of Legos˘. They can be used as three dimensional bit maps to approximate any shape.
Replicas of the Statute of Liberty, the Empire State Building and other well known objects have been made with Legos˘.
Just as the shape of the letter e above can be approximated with squares and triangles
three dimensional objects can be approximated with rectangular bricks and also with octahedron- tetrahedron bricks.
Buckerminster Fuller claims the octet structures are stronger (see the Fuller link at the bottom of this page)
The octet system also lends itself to building some very strange and hypnotic shapes
as Escher's print Flatworms demonstrates (at the beginning of my Index page)
The power to make virtually any shape with 3-D bitmaps is why rectangular bricks work so well in construction.
As a toy, my blocks would acquaint future architects, builders, etc. with a different way.
And I am hoping that one day my panels could be used in  construction of real homes and buildings.

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Hop David
Box 39
Ajo, Arizona 85321
520-387-7688, Fax 520-387-7505

Hop's Pages:

Tessellating Blocks Toys that tessellate have the power to approximate any shape.

Delta Blocks (Inspired by Escher) This page discusses my toy which was inspired by M.C. Escher's print Flatworms.  Flatwormsshows a structure made from the octahedron/tetrahedron tessellation. The octahedron, tetrahedron structure was also promoted by Buckminster Fuller.

Ram's Horn. A ram's horn spiral plus some spiral tessellations.

Buckminster Fuller's Octetruss This page briefly discusses Buckminster Fuller's invention based on the octahedron/tetrahedron tessellation. For more on Fuller please go to the Links to Other Folks Pages page.

Other Escher Ideas
Escher Perspective Study This page discusses perspective, also features one of my drawings - "Crab".

Escher Dyson Sphere To me this print by Escher looks like a Dyson Sphere! I wonder what he would have thought of this bizarre interpretation.

Curl-Ups as Robots? I asked a Dutch friend to translate the Escher print "Curl Ups". His comments suggest Curl Ups as robots. His translation and comments are on this page.

Fractals from Kepler's Solids This page discusses a fractal idea I had, plus illustrations.

Double Tetrahedron Fractal. A three dimensional  version of the double triangle fractal. This model is incomplete and not very well done. However, I think it suggests an likable family of fractals. This family has an interesting connection with the golden mean

Some thoughts on Christianity

Links To Other Folk's Pages This is an indeed motley assortment of pages. Lots of good stuff!

Hop's Personal Page A page about me.

Ajo Copper News. Our business, a weekly newspaper

Gabrielle's page My sister's page

My Daughter Nellie's Page