GEOMETRY

1. GEOMETRY ART By: Courtney Fischer

2. GEOMETRY • The mathematics of the properties, measurement, and relationship of points, lines, angles, surfaces, and solids. • Geometry is about real things, real shapes, real spaces, real perspectives • Geometry can be divided into Plane Geometry & Solid Geometry. • Plane geometry: flat shapes such as lines, circles and triangles…shapes that can be drawn on a piece of paper • Solid geometry: three dimensional objects such as cubes, prisms and pyramids.

3. ART • Elements of art that relate to Geometry • Line • Shape • Form • Space • 3 rules to drawing • Composition • Perspective • Light and Shadow

4. Shape Perspective Symmetry

5. SHAPE • Geometry: an enclosed figure. • Triangle • Square • Rectangle • Rhombus • Kite • Trapezoid • Art: An enclosed space, the boundaries of which are defined by other elements of art. • Geometric- those which correspond to named regular shapes, such as squares, rectangles, circles, cubes, spheres, cones, and other regular forms • Organic- shapes or forms having irregular edges or surfaces or objects resembling things existing in nature.

6. Perspective Perspective creates the feeling of depth through the use of lines that make the image appear to be three dimensional. The closer the image is, the more detailed it will appear, and the larger it will be. • The invention of linear perspective is attributed to the Florentine architect Filippo Brunelleschi • He came up with the principles of perspective which were later on summarized as • 1: The horizon appears as a line • 2: Straight lines in space appear as straight lines in the image • 3: Sets of parallel lines meet at a vanishing point • 4: Lines parallel to the picture plane appear parallel and therefore have no vanishing point • three rules of perspective to keep in mind when drawing. • elements in a drawing must have proper dimension and size • elements in the drawing must relate to the viewers distance • elements go along correctly with one another.

7. TYPES OF PERSPECTIVE One point: easiest way to make objects three-dimensional Two point: most commonly used perspective Like standing on the corner of a block and looking, so you can see both sides of the block.

8. One Point Draw in Horizon line and place one point on the line (vanishing point) Draw object (house) From each edge on the object draw a line to the point on the horizon(blue lines) Using the same angle of the original line, copy the line back along blue lines. This makes the object 3-D Remove lines going to vanishing point Finish drawing

9. One Point Draw in Horizon line and place one point on the line (vanishing point) Draw object (house) From each edge on the object draw a line to the point on the horizon(blue lines) Using the same angle of the original line, copy the line back along blue lines. This makes the object 3-D Remove lines going to vanishing point Finish drawing

10. Two Point Draw in Horizon line and place two points on the line (vanishing points) Draw a line Perpendicular to the horizon line in between the vanishing points. From each edge on the object draw a line to each of the points on the horizon(blue lines) Using the same angle of the original line, copy the line back along blue lines. This makes the object 3-D Now add in windows by drawing a single line Draw lines from tops and bottoms of lines to vanishing point corresponding with the side the window is on. Repeat step 4 Remove lines going to vanishing point Finish drawing

11. Two Point Draw in Horizon line and place two points on the line (vanishing points) Draw a line Perpendicular to the horizon line in between the vanishing points. From each edge on the object draw a line to each of the points on the horizon(blue lines) Using the same angle of the original line, copy the line back along blue lines. This makes the object 3-D Now add in windows by drawing a single line Draw lines from tops and bottoms of lines to vanishing point corresponding with the side the window is on. Repeat step 4 Remove lines going to vanishing point Finish drawing

12. SYMMETRY * Reflection * Rotational

13. Examples BEFORE AFTER

14. One Point Perspective

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