Henry Ernest Dudeney/Puzzles and Curious Problems/Geometrical Problems/Patchwork Puzzles

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Henry Ernest Dudeney: Puzzles and Curious Problems: Geometrical Problems: Patchwork Puzzles

$198$ - The Patchwork Cushion

A lady had $20$ pieces of silk, all of the same triangular shape and size.
She found that four of these would fit together and form a perfect square, as in the illustration.
Dudeney-Puzzles-and-Curious-Problems-198.png
How was she to fit together these $20$ pieces to form a perfectly square patchwork cushion?
There must be no waste, and no allowance need be made for turnings.

$199$ - The Hidden Star

The illustration represents a square tablecloth of choice silk patchwork.
This was put together by the members of a family as a little birthday present for one of its number.
One of the contributors supplied a portion in the form of a perfectly symmetrical star,
and this has been worked in exactly as it was received.
Dudeney-Puzzles-and-Curious-Problems-199.png
But the triangular pieces so confuse the eye that it is quite a puzzle to find the hidden star.
Can you discover it, so that, if you wished, by merely picking put the stitches,
you could extract it from the other portions of the patchwork?