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  2. Crossing the Lines - Wikipedia

    en.wikipedia.org/wiki/Crossing_the_Lines

    Print/export Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. Crossing the Lines may refer to: Crossing the ...

  3. List of impossible puzzles - Wikipedia

    en.wikipedia.org/wiki/List_of_impossible_puzzles

    Three utilities problem – Connect three cottages to gas, water, and electricity without crossing lines. [ 9 ] Thirty-six officers problem – Arrange six regiments consisting of six officers each of different ranks in a 6 × 6 square so that no rank or regiment is repeated in any row or column.

  4. Nine dots puzzle - Wikipedia

    en.wikipedia.org/wiki/Nine_dots_puzzle

    The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen.

  5. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    The lines connecting the remaining houses with the utilities divide the plane into three regions. Whichever region the deleted house is placed into, the similarly shaded utility is outside the region. By the Jordan curve theorem, a line connecting them must intersect one of the existing lines.

  6. Arrangement of lines - Wikipedia

    en.wikipedia.org/wiki/Arrangement_of_lines

    The corresponding concept to hyperbolic line arrangements for pseudolines is a weak pseudoline arrangement, [52] a family of curves having the same topological properties as lines [53] such that any two curves in the family either meet in a single crossing point or have no intersection.

  7. Refinance rates for Thursday, December 19, 2024 - AOL

    www.aol.com/finance/mortgage-and-refinance-rates...

    Mortgage and refinance rates for Dec. 19, 2024: Average 30-year, 15-year rates move higher after Fed's quarter-point cut

  8. “What’s The Most Frugal Thing You Do?” (50 Answers) - AOL

    www.aol.com/lifestyle/people-shared-66-most...

    Image credits: Genie_noteC #5. I cut open all my product containers and use every last drop. It's more about not wasting stuff, but it's also frugal. You would be surprised how much product can be ...

  9. Wolf, goat and cabbage problem - Wikipedia

    en.wikipedia.org/wiki/Wolf,_goat_and_cabbage_problem

    The depiction by Ōkyo shows the tiger family crossing a river, with the mother carrying one cub across the river at a time. This depicts a puzzle equivalent to the puzzle of the wolf, goat, and cabbage, asking how the mother can do this without leaving the leopard cub alone with any of the other tiger cubs. [9]