Hands-On Computer
Workshop: Tessellations on the Poincare' Disk - Exploring Hyperbolic
Geometry with The Geometer's Sketchpad
Nicholas Jackiw
njackiw@keypress.com
KCP Technologies, Inc.
USA
Abstract
In this hands-on computer workshop,
participants will use The Geometer's Sketchpad to
visit hyperbolic geometry and the Poincare' disk
in a progression leading from exploration of the
5th postulate to construction and classification
of the (infinite number of) regular tessellations
that become possible in this non-Euclidean
geometry. A smattering of historical background
and connections to Escher's famous Circle Limit
series may make this an appealing standalone unit
to consider at the upper secondary or
undergraduate level, as well as in preservice or
inservice teacher development.
No prior Sketchpad or hyperbolic geometry experience necessary.
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