Welcome to Davison School

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Welcome to Davison Schools Group 1 Presentation
We have been working on project three making
other surfaces. This presentation is going to
show you what we have found.
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What have we Done Part a
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First Attempt
Our first attempt was not very successful. Due to
the fact that our polydron would not bend in the
way we wanted it to, we could not follow the net
on the web page.This cylindrical shape has six
triangles joining at each vertex but it will not
bend to form a closed shape.
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Second Attempt
For this shape, we drew the net found on the web
page onto some card then folded it. It joined up
to make this star-like shape. It appears this
shape would be able to fit into a torus and there
are six triangles meeting at each vertex. We then
decided to try making the same net but of a
different size.
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Different Sizes
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Different Sizes
From the results shown on the previous page, it
appears that even numbers do join to make a
closed shape but odd numbers do not. The smallest
number of triangles long that works is eight as
one with six, whilst it joins to make a closed
shape, has no hole in the centre.
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What have we Done Part b
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Results
This is the shape we made. As you can see, it
does not look much like the double torus shape.
This is because the triangles used do not bend
enough or in the right direction.
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Results (continued)
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Extension
We started looking at the extension material
how many triangles are there in the hyperbolic
plane, but did not get very far. On the next
slides we will show you what we have found.
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What we Found
We made this part of the hyperbolic plane. The
zeroth layer is black, the first layer white and
the second layer is pink. We did not have time to
make any more layers.
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The End
We have noticed one thing. The number of
triangles pointing inwards on one layer is the
same as the number of triangles pointing outwards
on the next.
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Thanks for watching our Presentation