Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab...

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Geometry and Nature Illinois Geometry Lab Minerals Tetrahedron Cube Octahedron Dodecahedron Hexagonal Prism Molecules Tetrahedron Truncated Icosahedron Hexagonal Prism Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013

Transcript of Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab...

Page 1: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Geometry and Nature

Illinois Geometry Lab

University of Illinois, at Urbana-Champaign

October 9, 2013

Page 2: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Geometric Solids

Many geometric solids actually occur in nature.

Page 3: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Minerals

Mineral crystals grow into regular, geometric shapes.

Page 4: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Tetrahedron

Tetrahedrite

Page 5: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Cube

Pyrite

Page 6: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Octahedron

Magnetite

Page 7: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Dodecahedron

Pyrite

Page 8: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Hexagonal Prism

Quartz

Page 9: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Molecules

A number of molecules also have geometric structure.

Page 10: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Tetrahedron

Methane (CH4 Molecule, Natural Gas)

Page 11: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Truncated Icosahedron

Buckyball (C60 Molecule Found in Soot)

Page 12: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Hexagonal Prism

Graphite (Found in Pencil Lead)

Page 13: Geometry and Nature - Mathematicsmdelcour/geo.pdf · Geometry and Nature Illinois Geometry Lab University of Illinois, at Urbana-Champaign October 9, 2013. Geometry and Nature Illinois

Geometry andNature

IllinoisGeometry Lab

MineralsTetrahedron

Cube

Octahedron

Dodecahedron

Hexagonal Prism

MoleculesTetrahedron

TruncatedIcosahedron

Hexagonal Prism

Thank you for listening!


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