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MATH 121 (Day 5) The Inventors of Perspective Richard Hammack: www.people.vcu.edu/rhammack/Math121/

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Page 1: MATH 121 - people.vcu.edu

MATH 121

(Day 5)

The Inventors of Perspective

Richard Hammack:

www.people.vcu.edu/∼rhammack/Math121/

Page 2: MATH 121 - people.vcu.edu

MATH 121

(Day 5)

The Inventors of Perspective

Leone Battista Alberti1404–1472

Filippo Brunelleschi1377–1446

Piero della Francesca1412–1492

Page 3: MATH 121 - people.vcu.edu

MATH 121

(Day 5)

The Inventors of Perspective

Leone Battista Alberti1404–1472

Filippo Brunelleschi1377–1446

Piero della Francesca1412–1492

Page 4: MATH 121 - people.vcu.edu

MATH 121

(Day 5)

The Inventors of Perspective

Leone Battista Alberti1404–1472

Filippo Brunelleschi1377–1446

Piero della Francesca1412–1492

Page 5: MATH 121 - people.vcu.edu

Filippo Brunelleschi, 1377–1446

I goldsmith

I painter

I sculptor

I architect

I inventor

I engineer

I builder

I mathematician

Page 6: MATH 121 - people.vcu.edu

The Cathedral of Florence. Dome built by Brunelleschi 1418–36

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Dome interior by Giorgio Vasari and Federico Zuccari, 1568–1579

Page 10: MATH 121 - people.vcu.edu

Brunelleschi’s Dome, built 1418–36 (Height: 375 feet)

Page 11: MATH 121 - people.vcu.edu

Machinery by Brunelleschi

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Machinery by Brunelleschi

Page 13: MATH 121 - people.vcu.edu

Machinery by Brunelleschi

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Florence Baptistery, built 1059–1128

Page 16: MATH 121 - people.vcu.edu

Brunelleschi’s Peepshow

(The First Perspective Painting)

Baptistery

painting

peephole

Page 17: MATH 121 - people.vcu.edu

Brunelleschi’s Peepshow

(The First Perspective Painting)

Baptistery

painting

peephole

Page 18: MATH 121 - people.vcu.edu

Brunelleschi’s Peepshow

(The First Perspective Painting)

Baptistery

painting

peephole

mirror

Page 19: MATH 121 - people.vcu.edu

b

Page 20: MATH 121 - people.vcu.edu

Piero della Francesca, 1412–1492

I painter

I mathematician

I author

Page 21: MATH 121 - people.vcu.edu

Federigo da Montefeltro and his wife Battista Sforza

Page 22: MATH 121 - people.vcu.edu

Piero della Francesca, Resurrection, c. 1464

Page 23: MATH 121 - people.vcu.edu

Piero della FrancescaThe Dream, 1460FrescoBasilica of San Francesco, Arezzo

Page 24: MATH 121 - people.vcu.edu

Piero della Francesca, The Legend of the True Cross

Page 25: MATH 121 - people.vcu.edu

Piero della Francesca, The Legend of the True Cross

Page 26: MATH 121 - people.vcu.edu

Piero della Francesca, The Flagellation of Christ, 1460

Page 27: MATH 121 - people.vcu.edu

Piero della Francesca, The Flagellation of Christ, 1460

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The Ideal City, 1470

Page 29: MATH 121 - people.vcu.edu

Piero della Francesca, 1473Virgin and Child with Saints, Angels, and Federigo da Montefeltro

Page 30: MATH 121 - people.vcu.edu

Piero della Francesca, 1473Virgin and Child with Saints, Angels, and Federigo da Montefeltro

Page 31: MATH 121 - people.vcu.edu

Piero della Francesca, 1473Virgin and Child with Saints, Angels, and Federigo da Montefeltro

Page 32: MATH 121 - people.vcu.edu

Books by Piero della Francesca

I Abacus Treatise (Trattato d’abaco)A book on arithmetic and algebra

I Short Book on the Five Regular Solids(Libellus de Quinque Corporibus Regularibus)A study of three-dimensional solids

I On Perspective for Painting (De Prospectiva Pingendi)An extensive treatise on perspective

Page 33: MATH 121 - people.vcu.edu
Page 34: MATH 121 - people.vcu.edu

Next Time:Piero della Francesca’s mathematics

and perspective methods

Page 35: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 36: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view

Perspective view

horizon line

Page 37: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 38: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 39: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 40: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 41: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 42: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 43: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 44: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 45: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 46: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 47: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 48: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 49: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 50: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 51: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 52: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 53: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 54: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 55: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 56: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 57: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 58: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 59: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 60: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 61: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 62: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 63: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 64: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 65: MATH 121 - people.vcu.edu

Assignment #4: Filling a Room

Top view Perspective view

horizon line

Page 66: MATH 121 - people.vcu.edu

www.people.vcu.edu/∼rhammack/Math121/