The idea ...

OK, this is really cool. With just folded paper
you can make a fantastic looking dodecahedron,
one of the best looking objects in mathematics.

How do I do that?

Make one "module" ...

So, start with a
piece of paper
that's 3x4.

Yes, I know this
one is 6x8 - work
with me here ...
Fold it lengthwise
into 3, creating
a Z-fold.


Lay it flat on the table
as shown here.

Fold all three layers
together on the dark
lines.

Fold the top left down,
the bottom right up and
fold the diagonal in the
middle.

All three folds are in the
same direction - all three
folds are "upwards".


Fit them together ...

Here you can see that
the short fold at one tip
matches the long fold on
the diagonal.
It gets tucked
into the gap.


This is a
little tricky.
We're looking back now
from the other direction.
We can see two edges on
the vertex.
Here you can
see the third
edge being
inserted.
This gives you
one complete
vertex.


Lather, rinse, repeat ...

The completed object ...

There may be a movie to follow ...


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