Exploring curved space
can be done on almost all
modern computers.
The most amazing
tutorial I know of
is this Logo book
that starts with simple
functions and builds carefully
to 3D wonders.
Great stuff, written for
Logo, but can be used with
all programming tools.
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 The Computer as a Medium for Exploring Mathematics |
Turtle Geometry The Computer as a Medium for Exploring Mathematics Harold Abelson and Andrea diSessa Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. "A college-level math text for serious mathematicians and fans of recreational mathematics. This book proves that turtle graphics is not just kid stuff."The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates. Harold Abelson is an associate professor in the Department of Electrical Engineering and Computer Science at MIT. Andrea diSessa is an associate professor in the Graduate School of Education, University of California, Berkeley. Andrea diSessa is Chancellor’s Professor in the Graduate School of Education at the University of California, Berkeley, and a member of the National Academy of Education. He is the coauthor of Turtle Geometry: The Computer as a Medium for Exploring Mathematics (MIT Press, 1981). |