html/knowls version of MathFest
This version contains some materials not actually
presented at Mathfest.
Notes for using this
"knowls" are files that open
and close in the window from which they are linked.
The knowls are indicated by an
underdot feature which highlights the text when covered by a
mouse action. The knowls are activated and deactivated by
clicking on the mouse over the highlighted region.
Specific features of the "knowls" and some
Sage: When a knowl uses Sage for further display
of information the button labeled "evaluate" needs to be
pushed to activate the features further.
In the knowl Points and
Lines in the Real Projective Plane with 3D Calc Plotter
"evaluate" will activate the 3D Calc Plotter in the knowl. To
see the point, line, and plane objects visualized in the
plotter i) download the file Objects
in RP2.txt, then ii) open this file under the File
menu in the plotter with "Load an Exploration Script"
and iii) click on the "step" button to see the objects in a 3D
In the knowl Conics in 3D with SAGE
"evaluate" will activate a SAGE driven 3 D java figure
controlled by i) a menu to choose a conic type, a parameter,
ii) "a" in the equation of the conic, and iii) the selection
of a "plane" to see show or hide the "XY" plane.
The figure can be manipulated with various mouse actions in
the virtual space of the figure.
The title and end knowl A
Simple Proof... and The End include on a
split screen the same animated view of the projective plane in
perspective using Geogebra with conics varied through a cycle
of ellipse, parabola, hyperbola. This can be stopped by
clicking on the corner of the corner of the Geogebra window.
In the knowl Planar Views
of Conic Curves: Euclidean and Real Projective (in
Perspective) Geogebra has two linked pages for viewing
conics in both Euclidean and projective (perspective) planes.
Use the check boxes to show/hide the curves. Comparable views
are linked for the fixed examples. The dynamic examples are
Geogebra and SAGE Java Issue: While in use
Geogebra and SAGE sometimes interfere with the mouse wheel
scrolling feature. At this time the only way I know to ensure
return of the full scrolling mouse features is a page reload.
Coming perhaps in the future: A YouTube video of
the presentations showing the 3-D printed model of a cone with
two planes illustrating an hyperbola built using a file
created by the 3D Calc Plotter.