SPACIAL SYSTEMS

Footprint of a cube: square (horizontal, vertical, diagonal)









Circle in a square









Cylinder















Cone















Sphere















Block














Circle to ellipse




















View change (horizon shift)



















View change (angle shift)
















ONE point perspective
















TWO point perspective















THREE point perspective


















Perfect Square in 1Pt. Perspective
Step 1: Anchor Point



















Step Two: Face of rectangle




















Step three: Diagonals



















Step four: Finish



















Two point perspective













One horizon and many sets of lines (which in reality are parallel) going in different directions - each converging at uniquevanishing points.












Albrecht Altdorfer. The Battle of Issus, 1529. Oil on wood, 52 1/4" x 47 1/4".



























*Isometric is a term that refers to an orthographic view of a cube where all angles of view are 45° three sides of the cube are equally visible.
*Dimetric is a term that describes an orthographic projection of a cube where any two angles of view are the same (not necessarily 45°) as each other.
*Trimetric is a term that describes an orthographic projection of a cube where none of the three angles of view are the same.

















































Varied Perspectives:










One of a pair of six-panel rakuchû rakugai zu byôbu, known as the Funaki screens, 1614-15. Ink and color with gold leaf on paper, each screen 162 x 340 cm. Tokyo National Museum.