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Drawing the Hypercube

J. Scott Carter

University of South Alabama

July 2012ICME, Seoul, Korea

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Acknowledgement

This talk was supported by the Ministry of

Education Science and Technology (MEST) andthe Korean Federation of Science and TechnologySocieties (KOFST).

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Outline

A Cube

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Outline

A Cube

Projections and Matrices

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Outline

A Cube

Projections and Matrices Step-by-Step Hypercube

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Outline

A Cube

Projections and Matrices Step-by-Step Hypercube

Pascals Triangle

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Outline

A Cube

Projections and Matrices Step-by-Step Hypercube

Pascals Triangle

The Hypercube in Art

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Captain Kangaroo

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graph paper

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Drawing a Cube

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Projection Matrix

P =

1 3 02 0 3

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Projection Matrix

P =

1 3 02 0 3

1 3 0

2 0 3

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1

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0

0

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The Null Space

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Drawing the Hypercube

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Drawing the Hypercube

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Drawing the Hypercube

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Drawing the Hypercube

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Drawing the Hypercube

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Drawing the Hypercube

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Drawing the Hypercube

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D h H b

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Drawing the Hypercube

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Drawing the Hypercube

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D i th H b

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Drawing the Hypercube

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Drawing the Hypercube

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Drawing the Hypercube

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Drawing the Hypercube

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Drawing the Hypercube

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