Re: Divide a shape into four equal parts

On Mon, 7 Jul 2025 12:39:22 +0000, David Entwistle wrote:

On Tue, 1 Jul 2025 19:01:29 -0000 (UTC), Richard Tobin wrote:
>

This problem was set in Peter Parley's Annual, 1877, but I fear that
they are no longer available to provide the answer:

>
I'm not sure but, in connection with the Children's annuals, it seems
Peter Parley was a pseudonym of George Mogridge; rather than the
American
author Samuel Griswold Goodrich who established that pseudonym. However,
both would have been dead by 1877.
>
https://en.wikipedia.org/wiki/George_Mogridge_(writer)
https://en.wikipedia.org/wiki/Samuel_Griswold_Goodrich
>
It seems a bit of a coincidence that publisher Faber and Faber are now
based at 51 Hatton Garden, London, but they haven't been around long
enough to be involved in this particular publication.
>
The Hatton Garden safe deposit burglary took place a few doors away in
April 2015. At the time the value of the goods taken was £14 million.
>
I'm suspecting there isn't a solution to this puzzle, but hope to be
proved wrong. I'm continuing to work on it.

Probably not the intended solution as each piece is two triangles joined
by a single point, and there is flipping involved.
-------------+-------------.
|\           /|            /|
|  \   D   /  |          /  |
|    \   /    |   D    /    |
|  A   .      |      .   B  |
|    /    C   |    /   \    |
|  /          |  /   C   \  |
|/____________./___________\|
|            / \            |
|          /     \          |
|   A    /         \    B   |
|      /             \      |
|    /                 \    |
|  /                     \  |
|/                         \|
--