The Joy of Mathematics: Discovering Mathematics All Around You by Theoni Pappas
Author:Theoni Pappas [Pappas, Theoni]
Language: eng
Format: epub, pdf
Tags: General, Reference, Mathematics, History & Philosophy, Recreations & Games, Mathematical Recreations, Popular Works
ISBN: 9780933174658
Publisher: Wide World Pub./Tetra
Published: 1989-06-01T07:06:32+00:00
Now let’s try to tessellate a floor using equilateral triangles. Each angle in a equilateral triangle is 60º . We see we can lay six identical equilateral triangles together, and they will complete the circle.
What about using squares, hexagons, octagons, or a combination? Here are some tessellations of planes.
In a similar way, space can be tessellated – tiled with three-dimensional solids. Pictured below are truncated octahedra. They are the only Archimedean polyhedra that can be used to fill space while leaving no gaps and using no other shaped solids.
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| Applied | Geometry & Topology |
| History | Infinity |
| Mathematical Analysis | Matrices |
| Number Systems | Popular & Elementary |
| Pure Mathematics | Reference |
| Research | Study & Teaching |
| Transformations | Trigonometry |
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