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Wizard
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Wizard
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November 16th, 2025 at 3:06:19 AM permalink


How can you enclose all nine circles with two additional squares?
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
ThatDonGuy
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November 16th, 2025 at 8:45:15 AM permalink
Quote: Wizard



Move one coin to create two lines of four coins each.
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It depends on how you define "line."

I assume the answer is, put the blue coin on top of the red one, but then the four coins in each row are, strictly speaking, not in a "line."
billryan
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November 16th, 2025 at 9:14:00 AM permalink
Quote: Wizard



Draw three paths, connecting A to A, B to B, and C to C. The paths may not cross nor go outside the box.
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I've always seen this done differently. The three squares on the bottom represent electricity, water and gas. You need to hook up all utilities by connecting each house to all three, without crossing any lines.
The older I get, the better I recall things that never happened
ThatDonGuy
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November 16th, 2025 at 9:24:52 AM permalink
Quote: billryan

I've always seen this done differently. The three squares on the bottom represent electricity, water and gas. You need to hook up all utilities by connecting each house to all three, without crossing any lines.
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That's a different problem, with the added condition that no line could go through another house or utility
It was proven centuries ago that this is impossible, regardless of where the three houses and three utilities are located.
billryan
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November 16th, 2025 at 9:46:52 AM permalink
Quote: ThatDonGuy

Quote: billryan

I've always seen this done differently. The three squares on the bottom represent electricity, water and gas. You need to hook up all utilities by connecting each house to all three, without crossing any lines.
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That's a different problem, with the added condition that no line could go through another house or utility
It was proven centuries ago that this is impossible, regardless of where the three houses and three utilities are located.

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A sage Pack leader once offered $100( in 1967 dollars) reward for the solution to a bus full of Cub Scouts at the start of a three-hour bus ride. It's a great babysitting tool.
I actually saw a twist on this where they substituted telephone for gas, which makes it possible.
The older I get, the better I recall things that never happened
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