(crop) circle theorems - meimei.org.uk/files/conference12/j2_2012.pdf · 2019. 6. 6. · (crop)...
TRANSCRIPT
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(Crop) Circle Theorems
The more thoroughly you describe,
the more you will confuse.
It is necessary to draw as well as describe.
Leonardo da Vinci
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Aims This morning we will use Euclid’s book & crop circles to show;
• The mathematics we see in school wasn’t just handed down in its entirety from antiquity, but has gone through a number of revisions.
• Mathematics provides us with tools which enable us to categorize things such as crop circles.
• Mathematics is a language we can use to describe the design of crop circles; in the break out session later.
• How to make some of the essential shapes found within these circle designs with a piece of string and a marker pen. The essential tools of a circle maker!
• Firstly lets have a look at the most famous book from antiquity; Euclid’s Elements
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The Elements Book 4: Construction of Rectilinear Figures In and Around Circles
The Elements Book 4: Construction of Rectilinear Figures In and Around Circles
The Elements Book 4:
Construction of Rectilinear
Figures In and
Around Circles
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plenary
• Euclid’s Elements; the mathematics you
see in school has been handed down and
translated from Greek, to Arabic, to Latin,
into English among other languages.
• Therefore the message in the
mathematics we learn today potentially
could have been lost through the ages.
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plenary
• When trying to make sense of the different
types of crop circles we can use
mathematical properties such as
symmetry to help us.
• We can also use polygons to help us
categorise the information you have been
given.
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The breakout session
Windmill Hill, Wilts
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Aim
• Designing your own crop circles!!!!!
• Watch carefully as I reveal an example of
a crop circle design step by step.
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Aim
• Using a string and board marker as a
make shift set of compasses in you pairs
discuss how you would construct the
following;
• 60 degree angle
• Equilateral triangle
• Hexagon
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Designing your own crop circles
• What did you notice about the instructions;
• What went well……
• Even better if…….
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Now in your pairs
• Create your own crop circle design.
• Think about how you would need to lay
out each stage in your design.
• Write out your instructions on a sheet of
paper, with small sketches to help
describe your design.
• Provide sufficient detail so that another
group could try to replicate your design.
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To Conclude
I hope you have enjoyed the session!
Please don’t hesitate to get in touch with me if
you need any further information