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\newcommand{\toggle}[2]{#2} % Theorem Environments \theoremstyle{plain} \newtheorem{theorem}{Theorem} \newtheorem{lemma}{Lemma} \newtheorem{prop}{Proposition} \newtheorem{cor}{Corollary} \newtheorem*{utheorem}{Theorem} \newtheorem*{ulemma}{Lemma} \newtheorem*{uprop}{Proposition} \newtheorem*{ucor}{Corollary} \theoremstyle{definition} \newtheorem{defn}{Definition} \newtheorem{example}{Example} \newtheorem*{udefn}{Definition} \newtheorem*{uexample}{Example} \theoremstyle{remark} \newtheorem{remark}{Remark} \newtheorem{note}{Note} \newtheorem*{uremark}{Remark} \newtheorem*{unote}{Note} %------------------------------------------------------------------- \begin{document} %------------------------------------------------------------------- \section*{Catriona Agg's puzzles 2019} \hypertarget{catriona_aggs_geometry_puzzles_from_2019}{}\section*{{Catriona Agg's Geometry Puzzles from 2019}}\label{catriona_aggs_geometry_puzzles_from_2019} \begin{enumerate}% \item [[three circles in a rectangle]] \emph{Dec 31, 2019} [[ThreeCirclesinaRectangle\_small.png:pic]] \item [[two semi-circles inside a semi-circle]] \emph{Dec 29, 2019} [[TwoSemiCirclesInsideaSemiCircle\_small.png:pic]] \item [[two squares]] \emph{Dec 28, 2019} [[TwoSquares\_small.png:pic]] \item [[three squares and an equilateral triangle]] \emph{Dec 26, 2019} [[ThreeSquaresandanEquilateralTriangle\_small.png:pic]] \item [[pentagram in a circle]] \emph{Dec 24, 2019} [[PentagraminaCircle\_small.png:pic]] \item [[rectangle quartered by semi-circles]] \emph{Dec 23, 2019} [[RectangleQuarteredbySemiCircles\_small.png:pic]] \item [[chord dividing a triangle into two]] \emph{Dec 22, 2019} [[ChordDividingaTriangleintoTwo\_small.png:pic]] \item [[two pentagons]] \emph{Dec 20, 2019} [[TwoPentagons\_small.png:pic]] \item [[two circles in a rectangle]] \emph{Dec 17, 2019} [[TwoCirclesinaRectangle\_small.png:pic]] \item [[angle formed by three rectangles]] \emph{Dec 14, 2019} [[AngleFormedbyThreeRectangles\_small.png:pic]] \item [[two rectangles in a square]] \emph{Dec 12, 2019} [[TwoRectanglesinaSquare\_small.png:pic]] \item [[five semi-circles around a rectangle]] \emph{Dec 11, 2019} [[FiveSemiCirclesAroundaRectangle\_small.png:pic]] \item [[three equal angles in a rectangle]] \emph{Dec 7, 2019} [[ThreeEqualAnglesinaRectangle\_small.png:pic]] \item [[a square, a circle, and a rectangle]] \emph{Dec 4, 2019} [[ASquareACircleandaRectangle\_small.png:pic]] \item [[three right-angled triangles]] \emph{Nov 30, 2019} [[ThreeRightAngledTriangles\_small.png:pic]] \item [[two rectangles overlapping a square]] \emph{Nov 24, 2019} [[TwoRectanglesOverlappingaSquare\_small.png:pic]] \item [[areas in a crossed trapezium]] \emph{Nov 20, 2019} [[AreasinaCrossedTrapezium\_small.png:pic]] \item [[seven hexagons]] \emph{Nov 18, 2019} [[SevenHexagons\_small.png:pic]] \item [[a pattern of squares]] \emph{Nov 17, 2019} [[APatternofSquares\_small.png:pic]] \item [[three hexagons and a rectangle]] \emph{Nov 15, 2019} [[ThreeHexagonsandaRectangle\_small.png:pic]] \item [[six circles inside a circle inside a square]] \emph{Nov 9, 2019} [[SixCirclesInsideaCircleInsideaSquare\_small.png:pic]] \item [[stacked squares inside two squares]] \emph{Nov 7, 2019} [[StackedSquaresInsideTwoSquares\_small.png:pic]] \item [[three squares inside a triangle]] \emph{Oct 30, 2019} [[ThreeSquaresInsideaTriangle\_small.png:pic]] \item [[three congruent triangles]] \emph{Oct 29, 2019} [[ThreeCongruentTriangles\_small.png:pic]] \item [[two semi-circles inside a semi-circle ii]] \emph{Oct 27, 2019} [[TwoSemiCirclesInsideaSemiCircleII\_small.png:pic]] \item [[multiple semi-circles]] \emph{Oct 25, 2019} [[MultipleSemiCircles\_small.png:pic]] \item [[two congruent rectangles in a square]] \emph{Oct 24, 2019} [[TwoCongruentRectanglesinaSquare\_small.png:pic]] \item [[three circles in a rectangle ii]] \emph{Oct 19, 2019} [[ThreeCirclesinaRectangleII\_small.png:pic]] \item [[overlapping triangles in a circle]] \emph{Oct 13, 2019} [[OverlappingTrianglesinaCircle\_small.png:pic]] \item [[diagonal in a square]] \emph{Oct 11, 2019} [[DiagonalinaSquare\_small.png:pic]] \item [[seven circles]] \emph{Oct 5, 2019} [[SevenCircles\_small.png:pic]] \item [[angles in two hexagons]] \emph{Sep 28, 2019} [[AnglesinTwoHexagons\_small.png:pic]] \item [[three overlapping squares]] \emph{Sep 19, 2019} [[ThreeOverlappingSquares\_small.png:pic]] \item [[four squares and a semi-circle]] \emph{Sep 7, 2019} [[FourSquaresandaSemiCircle\_small.png:pic]] \item [[two overlapping hexagons and a rectangle]] \emph{Sep 2, 2019} [[TwoOverlappingHexagonsandaRectangle\_small.png:pic]] \item [[two rectangles of equal area]] \emph{Aug 31, 2019} [[TwoRectanglesofEqualArea\_small.png:pic]] \item [[three squares overlapping a semi-circle]] \emph{Aug 29, 2019} [[ThreeSquaresOverlappingaSemiCircle\_small.png:pic]] \item [[two hexagons and a square]] \emph{Aug 28, 2019} [[TwoHexagonsandaSquare\_small.png:pic]] \item [[four hexagons]] \emph{Aug 26, 2019} [[FourHexagons\_small.png:pic]] \item [[two squares in a semi-circle]] \emph{Aug 24, 2019} [[TwoSquaresinaSemiCircle\_small.png:pic]] \item [[three squares in a semi-circle]] \emph{Aug 23, 2019} [[ThreeSquaresinaSemiCircle\_small.png:pic]] \item [[three congruent squares overlapping a square]] \emph{Aug 22, 2019} [[ThreeCongruentSquaresOverlappingaSquare\_small.png:pic]] \item [[three triangles in a square]] \emph{Aug 20, 2019} [[ThreeTrianglesinaSquare\_small.png:pic]] \item [[trisected hexagon]] \emph{Aug 19, 2019} [[TrisectedHexagon\_small.png:pic]] \item [[two congruent quadrilaterals and a rectangle]] \emph{Aug 16, 2019} [[TwoCongruentQuadrilateralsandaRectangle\_small.png:pic]] \item [[semi-circle in a square ii]] \emph{Aug 14, 2019} [[SemiCircleinaSquareII\_small.png:pic]] \item [[circle in pentagon in semi-circle]] \emph{Aug 11, 2019} [[CircleInPentagoninSemiCircle\_small.png:pic]] \item [[rectangles in concentric rings]] \emph{Aug 9, 2019} [[RectanglesinConcentricRings\_small.png:pic]] \item [[three regular hexagons ii]] \emph{Aug 8, 2019} [[ThreeRegularHexagonsII\_small.png:pic]] \item [[one rectangle inside another with semi-circles]] \emph{Aug 5, 2019} [[OneRectangleInsideAnotherWithSemiCircles\_small.png:pic]] \item [[two rectangles and a semi-circle]] \emph{Aug 3, 2019} [[TwoRectanglesandaSemiCircle\_small.png:pic]] \item [[three equilateral triangles and a semi-circle]] \emph{Aug 2, 2019} [[ThreeEquilateralTrianglesandaSemiCircle\_small.png:pic]] \item [[three circles in a semi-circle]] \emph{Aug 1, 2019} [[ThreeCirclesinaSemiCircle\_small.png:pic]] \item [[upside-down semi-circles in a semi-circle]] \emph{Jul 30, 2019} [[UpsideDownSemiCirclesinaSemiCircle\_small.png:pic]] \item [[stacked triangles]] \emph{Jul 29, 2019} [[StackedTriangles\_small.png:pic]] \item [[triangles in a dodecagon]] \emph{Jul 27, 2019} [[TrianglesinaDodecagon\_small.png:pic]] \item [[angle formed by two squares ii]] \emph{Jul 26, 2019} [[AngleFormedbyTwoSquaresII\_small.png:pic]] \item [[three parallel semi-circles]] \emph{Jul 24, 2019} [[ThreeParallelSemiCircles\_small.png:pic]] \item [[semi-circle in a right-angled triangle]] \emph{Jul 23, 2019} [[SemiCircleinaRightAngledTriangle\_small.png:pic]] \item [[three congruent squares in a rectangle]] \emph{Jul 22, 2019} [[ThreeCongruentSquaresinaRectangle\_small.png:pic]] \item [[three hexagons in a trapezium]] \emph{Jul 20, 2019} [[ThreeHexagonsinaTrapezium\_small.png:pic]] \item [[regular hexagon and rectangle]] \emph{Jul 12, 2019} [[RegularHexagonandRectangle\_small.png:pic]] \item [[stack of congruent rectangles]] \emph{Jun 28, 2019} [[StackofCongruentRectangles\_small.png:pic]] \item [[angles in a circle]] \emph{Jun 27, 2019} [[AnglesinaCircle\_small.png:pic]] \item [[striped dodecagon]] \emph{Jun 24, 2019} [[StripedDodecagon\_small.png:pic]] \item [[two squares overlapping a third square]] \emph{Jun 15, 2019} [[TwoSquaresOverlappingaThirdSquare\_small.png:pic]] \item [[three squares and a semi-circle]] \emph{Jun 7, 2019} [[ThreeSquaresandaSemiCircle\_small.png:pic]] \item [[three congruent rectangles]] \emph{Jun 4, 2019} [[ThreeCongruentRectangles\_small.png:pic]] \item [[rectangle, circle, and triangle]] \emph{Jun 1, 2019} [[RectangleCircleandTriangle\_small.png:pic]] \item [[two regular hexagons]] \emph{May 30, 2019} [[TwoRegularHexagons\_small.png:pic]] \item [[angle in a circle and semi-circle]] \emph{May 28, 2019} [[AngleinaCircleandSemiCircle\_small.png:pic]] \item [[circle and two squares]] \emph{May 26, 2019} [[CircleandTwoSquares\_small.png:pic]] \item [[divided hexagon]] \emph{May 25, 2019} [[DividedHexagon\_small.png:pic]] \item [[two overlapping squares]] \emph{May 20, 2019} [[TwoOverlappingSquares\_small.png:pic]] \item [[two squares in a triangle]] \emph{May 19, 2019} [[TwoSquaresinaTriangle\_small.png:pic]] \item [[a semi-circle and quarter circle in a square]] \emph{May 17, 2019} [[ASemiCircleandQuarterCircleinaSquare\_small.png:pic]] \item [[overlapping triangle and hexagon]] \emph{May 14, 2019} [[OverlappingTriangleandHexagon\_small.png:pic]] \item [[overlapping triangle and rectangle]] \emph{May 10, 2019} [[OverlappingTriangleandRectangle\_small.png:pic]] \item [[divided hexagon ii]] \emph{May 8, 2019} [[DividedHexagonII\_small.png:pic]] \item [[semi-circle between two quarter circles]] \emph{May 6, 2019} [[SemiCircleBetweenTwoQuarterCircles\_small.png:pic]] \item [[two squares and two equilateral triangles iii]] \emph{May 5, 2019} [[TwoSquaresandTwoEquilateralTrianglesIII\_small.png:pic]] \item [[two squares and two equilateral triangles ii]] \emph{May 5, 2019} [[TwoSquaresandTwoEquilateralTrianglesII\_small.png:pic]] \item [[angles in two circles]] \emph{May 3, 2019} [[AnglesinTwoCircles\_small.png:pic]] \item [[square with midpoints]] \emph{May 1, 2019} [[SquarewithMidpoints\_small.png:pic]] \item [[angle formed by two squares]] \emph{Apr 28, 2019} [[AngleFormedbyTwoSquares\_small.png:pic]] \item [[two circles inside two polygons inside a circle]] \emph{Apr 26, 2019} [[TwoCirclesInsideTwoPolygonsInsideaCircle\_small.png:pic]] \item [[quartered hexagon]] \emph{Apr 24, 2019} [[QuarteredHexagon\_small.png:pic]] \item [[two semi-circles in a square]] \emph{Apr 22, 2019} [[TwoSemiCirclesinaSquare\_small.png:pic]] \item [[three semi-circles around a triangle]] \emph{Apr 20, 2019} [[ThreeSemiCirclesAroundaTriangle\_small.png:pic]] \item [[two overlapping squares ii]] \emph{Apr 18, 2019} [[TwoOverlappingSquaresII\_small.png:pic]] \item [[two rectangles with diagonals]] \emph{Apr 17, 2019} [[TwoRectangleswithDiagonals\_small.png:pic]] \item [[two semi-circles and a rectangle]] \emph{Apr 16, 2019} [[TwoSemiCirclesandaRectangle\_small.png:pic]] \item [[semi-circle on a hexagon]] \emph{Apr 14, 2019} [[SemiCircleonaHexagon\_small.png:pic]] \item [[divided square]] \emph{Apr 12, 2019} [[DividedSquare\_small.png:pic]] \item [[three adjacent triangles]] \emph{Apr 10, 2019} [[ThreeAdjacentTriangles\_small.png:pic]] \item [[triangle and circle inside square]] \emph{Apr 7, 2019} [[TriangleandCircleInsideSquare\_small.png:pic]] \item [[two squares on a triangle]] \emph{Apr 4, 2019} [[TwoSquaresonaTriangle\_small.png:pic]] \item [[square, rectangle, and two semi-circles]] \emph{Apr 3, 2019} [[SquareRectangleandTwoSemiCircles\_small.png:pic]] \item [[three triangles and a rectangle inside a circle]] \emph{Mar 30, 2019} [[ThreeTrianglesandaRectangleInsideaCircle\_small.png:pic]] \item [[triangle inside a square]] \emph{Mar 26, 2019} [[TriangleInsideaSquare\_small.png:pic]] \item [[triangle inside circle and triangle]] \emph{Mar 20, 2019} [[TriangleInsideCircleandTriangle\_small.png:pic]] \item [[circle in triangle in square]] \emph{Mar 17, 2019} [[CircleinTriangleinSquare\_small.png:pic]] \item [[quarter circles in a square in a circle]] \emph{Mar 16, 2019} [[QuarterCirclesinaSquareinaCircle\_small.png:pic]] \item [[triangle overlapping a hexagon]] \emph{Mar 13, 2019} [[TriangleOverlappingaHexagon\_small.png:pic]] \item [[two circles in a triangle]] \emph{Mar 10, 2019} [[TwoCirclesinaTriangle\_small.png:pic]] \item [[inverse star in a rectangle]] \emph{Mar 7, 2019} [[InverseStarinaRectangle\_small.png:pic]] \item [[three overlapping circles]] \emph{Mar 3, 2019} [[ThreeOverlappingCircles\_small.png:pic]] \item [[three tilted rectangles]] \emph{Mar 1, 2019} [[ThreeTiltedRectangles\_small.png:pic]] \item [[overlapping hexagons]] \emph{Feb 26, 2019} [[OverlappingHexagons\_small.png:pic]] \item [[square overlapping a quarter circle]] \emph{Feb 24, 2019} [[SquareOverlappingaQuarterCircle\_small.png:pic]] \item [[two hexagons in a rectangle]] \emph{Feb 23, 2019} [[TwoHexagonsinaRectangle\_small.png:pic]] \item [[semi-circle in a circle]] \emph{Feb 22, 2019} [[SemiCircleinaCircle\_small.png:pic]] \item [[two triangles overlapping a rectangle]] \emph{Feb 21, 2019} [[TwoTrianglesOverlappingaRectangle\_small.png:pic]] \item [[square on an octagon]] \emph{Feb 19, 2019} [[SquareonanOctagon\_small.png:pic]] \item [[circle and semi-circle in triangle]] \emph{Feb 18, 2019} [[CircleandSemiCircleinTriangle\_small.png:pic]] \item [[overlapping triangles]] \emph{Feb 16, 2019} [[OverlappingTriangles\_small.png:pic]] \item [[tilted rectangles]] \emph{Feb 13, 2019} [[TiltedRectangles\_small.png:pic]] \item [[triangle in semi-circle with square]] \emph{Feb 11, 2019} [[TriangleinSemiCirclewithSquare\_small.png:pic]] \item [[circles in overlapping triangles]] \emph{Feb 7, 2019} [[CirclesinOverlappingTriangles\_small.png:pic]] \item [[tilted triangles]] \emph{Feb 2, 2019} [[TiltedTriangles\_small.png:pic]] \item [[two quarter circles in a square]] \emph{Jan 28, 2019} [[TwoQuarterCirclesinaSquare\_small.png:pic]] \item [[two squares and a rectangle in an octagon]] \emph{Jan 26, 2019} [[TwoSquaresandaRectangleinanOctagon\_small.png:pic]] \item [[square overlapping a circle]] \emph{Jan 25, 2019} [[SquareOverlappingaCircle\_small.png:pic]] \item [[six semi-circles in a circle]] \emph{Jan 21, 2019} [[SixSemiCirclesinaCircle\_small.png:pic]] \item [[rectangle on a hexagon]] \emph{Jan 19, 2019} [[RectangleonaHexagon\_small.png:pic]] \item [[two squares on a circle]] \emph{Jan 16, 2019} [[TwoSquaresonaCircle\_small.png:pic]] \item [[pentagon with two semi-circles]] \emph{Jan 14, 2019} [[PentagonwithtwoSemiCircles\_small.png:pic]] \item [[striped hexagon]] \emph{Jan 13, 2019} [[StripedHexagon\_small.png:pic]] \item [[circle in a hexagon in a semi-circle]] \emph{Jan 11, 2019} [[CircleinaHexagoninaSemiCircle\_small.png:pic]] \item [[overlapping rectangle and semi-circle]] \emph{Jan 5, 2019} [[OverlappingRectangleandSemiCircle\_small.png:pic]] \end{enumerate} \end{document}