Drawing Conundrums

[TIG]

I know it's not possible with 4 flaps !
You'll always have a line left over that requires a re-trace!

I was being cruel

[TIG]

Here's the "5 rooms puzzle" The object of the puzzle is to draw a continuous [flat 2d] line that intersects each "wall" of the diagram only once. This example fails as the wall marked with the O is not intersected...

Officially it's "unsolvable"... but there is a tricky solution [that doesn't involve 3d or wormholes!]

[Roger]

Spelling Conondrum.

[Mike Lucey]

Cooldn't resist

[Mike Lucey]

Move just one matchstick to form a square!

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Matches.skp

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[Gaieus]

[Gaieus]

Make four, equilateral triangles of these matches.

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4triangles.skp

[Mike Lucey]

I showed you that one when I was in Hungary

[Gaieus]

Nope. And anyway, how could you remember?

[boofredlay]

[Gaieus]

After all, this is a 3D application forum!

(The alignment could be nicer though... )

[boofredlay]

I should have just burned them.

[TIG]

Here's the solution to the 5-room-puzzle...
It relies on the interpretation that you can intersect a line [wall] at its very end point, thereby allowing you to intersect three at once...

[Mike Lucey]

Mmmmmm ...... 'end point'

[gilles]

Un peu tiré par les cheveux...

[boofredlay]

Ah, so the single line is allowed a thickness, nice.

[david_h]

I think the bigger conundrum to those rooms is how does one get in?