Math 53 Symmetry and Tiling
... The geometry of negatively curved spaces is called hyperbolic geometry In (flat) Euclidean geometry, given any straight line, and any point not on the line, there is exactly one parallel line through that point. What is the nature of parallel lines on a negatively curved surface? 1. To draw a line ...
... The geometry of negatively curved spaces is called hyperbolic geometry In (flat) Euclidean geometry, given any straight line, and any point not on the line, there is exactly one parallel line through that point. What is the nature of parallel lines on a negatively curved surface? 1. To draw a line ...
Technical drawing
Technical drawing, also known as drafting or draughting, is the act and discipline of composing drawings that visually communicate how something functions or is to be constructed.Technical drawing is essential for communicating ideas in industry and engineering.To make the drawings easier to understand, people use familiar symbols, perspectives, units of measurement, notation systems, visual styles, and page layout. Together, such conventions constitute a visual language, and help to ensure that the drawing is unambiguous and relatively easy to understand. These drafting conventions are condensed into internationally accepted standards and specifications that transcend the barrier of language making technical drawings a universal means of communicating complex mechanical concepts.This need for precise communication in the preparation of a functional document distinguishes technical drawing from the expressive drawing of the visual arts. Artistic drawings are subjectively interpreted; their meanings are multiply determined. Technical drawings are understood to have one intended meaning.A drafter, draftsperson, or draughtsman is a person who makes a drawing (technical or expressive). A professional drafter who makes technical drawings is sometimes called a drafting technician. Professional drafting is a desirable and necessary function in the design and manufacture of complex mechanical components and machines. Professional draftspersons bridge the gap between engineers and manufacturers, and contribute experience and technical expertise to the design process.