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Building with a compass and a
ruler
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Take two points on the plane.
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download picture [jpg, fig] |
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Connect them with a line.
Draw a circle centered at one of them and passing through the other and vice
versa. |
download picture [jpg,
fig] |
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Mark the intersection
points. |
download picture [jpg, fig] |
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Connect each pair with a
line and draw a circle centered at one and passing through the other.
|
download picture [jpg,
fig] |
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Mark the intersection
points. |
download picture [jpg, fig] |
|
... |
I saw such pictures at
Y. I. Manin's popular
lecture, I hoped that with a computer I'll be able to go further, but those
points quickly became hard to compute and messy to present.
Here is the Matlab code that
generates those pictures [exact version,
fast version].
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