slide list lecture 7

Three-dimensional Euclidean space.

One point perspective

3-d model of Hyperbolic Space

Euclidean football

Hyperbolic football

Edwin Abbott, 1884 , Flatland, a novel

Paul Cezanne, 1865, Still Life with Bread and Eggs, Oil on canvas

Paul Cezanne, 1875 - 77 , Still Life with apples, Oil on canvas

Cezanne, 1884, Still Life with Soup Tureen, oil on canvas

Paul Cezanne , 1887, Still Life with a Plate of Cherries, Oil on canvas

Paul Cezanne , 1890, Still Life with Bottle of Rum Oil on canvas

Paul Cezanne,1890-94, Still Life with a Ginger Jar and Eggplants, Oil on canvas

Cezanne, 1890-94, Still Life with Apples, Oil on canvas

Paul Cezanne, 1890, Still Life with Basket, Oil on canvas

Paul Cezanne , 1894 , Fruit Bowl, Pitcher and Fruit, Oil on canvas

Paul Cezanne , 1895 , Still Life with Curtain and Flowered Pitcher, Oil on canvas

Paul Cezanne , 1878 Portrait of Madame Cezanne, Oil on canvas

Paul Cezanne , 1894-1895 , Woman in a Green Hat (Madame Cezanne), Oil on canvas

Paul Cezanne , 1892 , The Cardplayers, Oil on canvas

Paul Cezanne , 1895, Mont Sainte-Victoire, Oil on canvas

Paul Cezanne , 1902, Mont Sainte-Victoire Oil on canvas

Paul Cezanne, 1904 - 06 , Mont Sainte-Victoire Seen from Les Lauves Oil on canvas, 66 x 81.5 cm

Paul Cezanne , 1901-06 , Mont Sainte-Victoire Seen from Les Lauves , Pencil and watercolor,

Paul Cezanne, 1899, Mont St. Victoire, watercolour

Paul Cezanne , 1900 , Trees by the Water, watercolour

Paul Cezanne, 1905. Montagne Sainte-Victoire and the Black Chateau,

Paul Cezanne , 1900 , Bibemus Quarry, Oil on canvas

Georges Braque, 1908 , Aquaduct at L’Estaque, Oil on canvas

Pablo Picasso, 1908 , Factory at Horta de Hebro, Oil on canvas

Picasso, 1896, Self Portrait with Uncombed Hair Oil on canvas

Picasso, 1896, Portrait of Aunt Pepa,

Picasso, 1897, Science and Charity, oil on canvas

Picasso, 1899, Lola, Charcoal and chalk on paper

Picasso, 1900, Self Portrait, Charcoal on paper

Picasso, 1900, Spanish Couple in Front of Inn

Picasso, 1900, Fairground,

Picasso, 1901, Crossing the Seine on the upper deck, oil on canvas

Picasso, 1901, Red Skirt , Pastel on paper

Picasso, 1900, Pierrot and Colombina

Picasso, 1900, The Embrace

Picasso, 1901, Self Portrait with Cloak

Fabric of spacetime as described by Einstein, the warping of which produces gravity