Download Worksheet on Hyperbolic Geometry

Worksheet on Hyperbolic Geometry
The formula for the circumference of a circle of radius r, in the ‘hyperbolic’ plane is
_____________________________ .
The growth of the circumference is _________ on the sphere, _________ in the plane
and ___________ in the ‘hyperbolic’ geometry.
The program KaleidoTile can be found at the website _______________________.
Since triangles are ‘thin’ in the hyperbolic geometry setting the symmetry to _____ will
put you into the tiling.
For a binary tree (part of the hyperbolic plane) each parent has ____ daughters. This
means the number of descendents in the nth generation is __________.
Most bacteria grow in ___________, one example is plaque.
From the graph of the neocortex, the hyperbolic structure allows for messages to
______________________________________.
In the true circle model as beautifully displayed by Escher, geodesics inside the painting
are _________________________.
True or False, through any point P not on a line L, there is a unique parallel line to L?