Over the years we have taken a variety of approaches with participants of all ages in programs exploring Abelson and diSessa's Turtle Geometry. Through simulations, computational art, and robotics, participants explore new ways of thinking and working with geometry and topology through programming.

A whiteboard filled with sketches of circles and spheres with mathematical equations all around

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The cover of Turtle Geometry, The Computer as a Medium for Exploring Mathematics by Hal Abelson and Andrea diSessa

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A page from Turtle Geometry, showing the logo code used to create different shapes

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A Scratch project resulting from some Turtle Geometry-inspired explorations

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A screenshot from pynguin, the python-based LOGO tool used for some of our programs.

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A page from Turtle Geometry, showing the folding and manipulations of a sphere

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Exploring differential geometry and topology through LOGO

Turtle Geometry

Turtle Geometry2009–2018