{
  "books": [
    {
      "book": 1,
      "title": "Geometry Snacks",
      "subtitle": "Bite size problems and multiple ways to solve them",
      "year": 2018,
      "amazon": "https://www.amazon.com/dp/B0HD9GWL6C",
      "tarquin": "https://www.tarquingroup.com/collections/books/products/geometry-snacks"
    },
    {
      "book": 2,
      "title": "More Geometry Snacks",
      "subtitle": "Bite size problems and multiple ways to solve them",
      "year": 2019,
      "amazon": "https://www.amazon.com/dp/B07X37DQCX",
      "tarquin": "https://www.tarquingroup.com/collections/books/products/more-geometry-snacks"
    }
  ],
  "puzzles": [
    {
      "slug": "a-parallelogram-in-a-square",
      "title": "A Parallelogram in a Square",
      "book": 1,
      "number": 1,
      "chapter": "What Fraction is Shaded?",
      "page": "snacks1-page-007.png",
      "statement": "A parallelogram is inscribed in a square such that two vertices are at the midpoints of opposite sides as shown. What fraction of the square is shaded?",
      "drawing": "a-parallelogram-in-a-square.lgf",
      "live": true
    },
    {
      "slug": "a-triangle-on-two-midpoints",
      "title": "A Triangle on Two Midpoints",
      "book": 1,
      "number": 2,
      "chapter": "What Fraction is Shaded?",
      "page": "snacks1-page-008.png",
      "statement": "The shaded triangle is constructed using the midpoints and a vertex of an equilateral triangle as shown. What fraction of the equilateral triangle is shaded?",
      "drawing": "a-triangle-on-two-midpoints.lgf",
      "live": true
    },
    {
      "slug": "equally-spaced-points-in-a-square",
      "title": "Equally Spaced Points in a Square",
      "book": 1,
      "number": 3,
      "chapter": "What Fraction is Shaded?",
      "page": "snacks1-page-009.png",
      "statement": "Equally spaced points across two sides of a square form triangles with one shared vertex as shown. What fraction of the square is shaded?",
      "drawing": "equally-spaced-points-in-a-square.lgf",
      "live": true
    },
    {
      "slug": "bisectors-in-a-quadrilateral",
      "title": "Bisectors in a Quadrilateral",
      "book": 1,
      "number": 14,
      "chapter": "What's the Angle?",
      "page": "snacks1-page-028.png",
      "statement": "An irregular quadrilateral is constructed as shown. Find the value of the missing angle.",
      "drawing": "bisectors-in-a-quadrilateral.lgf",
      "live": true
    },
    {
      "slug": "two-equilateral-triangles-on-a-triangle",
      "title": "Two Equilateral Triangles on a Triangle",
      "book": 1,
      "number": 16,
      "chapter": "What's the Angle?",
      "page": "snacks1-page-030.png",
      "statement": "Two equilateral triangles are constructed such that they share a side with a third triangle as shown. Find the value of the missing angle.",
      "drawing": "two-equilateral-triangles-on-a-triangle.lgf",
      "live": true
    },
    {
      "slug": "two-squares-with-three-vertices-in-line",
      "title": "Two Squares with Three Vertices in Line",
      "book": 1,
      "number": 20,
      "chapter": "What's the Angle?",
      "page": "snacks1-page-034.png",
      "statement": "Two squares are constructed such that three vertices are collinear as shown. Find the value of the missing angle.",
      "drawing": "two-squares-with-three-vertices-in-line.lgf",
      "live": true
    },
    {
      "slug": "two-equilateral-triangles-touching",
      "title": "Two Equilateral Triangles Touching",
      "book": 1,
      "number": 21,
      "chapter": "What's the Angle?",
      "page": "snacks1-page-035.png",
      "statement": "Two equilateral triangles touch at a vertex as shown. Find the value of the missing angle.",
      "drawing": "two-equilateral-triangles-touching.lgf",
      "live": true
    },
    {
      "slug": "three-equal-segments-in-a-circle",
      "title": "Three Equal Segments in a Circle",
      "book": 1,
      "number": 24,
      "chapter": "What's the Angle?",
      "page": "snacks1-page-038.png",
      "statement": "Three equal line segments are constructed from the same point on a circle as shown. Find the value of the missing angle.",
      "drawing": "three-equal-segments-in-a-circle.lgf",
      "live": false
    },
    {
      "slug": "a-trapezium-in-a-semicircle",
      "title": "A Trapezium in a Semicircle",
      "book": 1,
      "number": 26,
      "chapter": "Prove it!",
      "page": "snacks1-page-050.png",
      "statement": "Using a semicircle as shown, prove that ∠ABC − ∠BCA = ∠ACD.",
      "drawing": "a-trapezium-in-a-semicircle.lgf",
      "live": true
    },
    {
      "slug": "a-right-triangle-and-its-incircle",
      "title": "A Right Triangle and its Incircle",
      "book": 1,
      "number": 28,
      "chapter": "Prove it!",
      "page": "snacks1-page-052.png",
      "statement": "Prove that the area of a right angled triangle is equal to s × r where s is its semi-perimeter and r the radius of the incircle.",
      "drawing": "a-right-triangle-and-its-incircle.lgf",
      "live": true
    },
    {
      "slug": "three-squares",
      "title": "Three Squares",
      "book": 1,
      "number": 29,
      "chapter": "Prove it!",
      "page": "snacks1-page-053.png",
      "statement": "Three squares are constructed as shown. Prove that the area of the large red square is five times greater than the area of the shaded square.",
      "drawing": "three-squares.lgf",
      "live": false
    },
    {
      "slug": "a-point-in-an-equilateral-triangle",
      "title": "A Point in an Equilateral Triangle",
      "book": 1,
      "number": 31,
      "chapter": "Prove it!",
      "page": "snacks1-page-055.png",
      "statement": "Prove that for any point inside an equilateral triangle, the sum of minimum distances to all 3 sides is equal to its height.",
      "drawing": "a-point-in-an-equilateral-triangle.lgf",
      "live": true
    },
    {
      "slug": "a-circle-through-the-centre-of-another",
      "title": "A Circle through the Centre of Another",
      "book": 1,
      "number": 32,
      "chapter": "Prove it!",
      "page": "snacks1-page-056.png",
      "statement": "For two circles constructed such that one passes through the centre of the other, prove that the chord at their intersection, AB, and the chord made by tangent line AC, have equal length.",
      "drawing": "a-circle-through-the-centre-of-another.lgf",
      "live": true
    },
    {
      "slug": "the-shortest-path-and-an-ellipse",
      "title": "The Shortest Path and an Ellipse",
      "book": 1,
      "number": 35,
      "chapter": "Prove it!",
      "page": "snacks1-page-059.png",
      "statement": "Prove that the shortest path from A to B when making a stop at M somewhere on the horizontal red line is such that the ellipse with focal points A and B going through M is tangent to the red line.",
      "drawing": "the-shortest-path-and-an-ellipse.lgf",
      "live": true
    },
    {
      "slug": "a-shape-of-constant-width",
      "title": "A Shape of Constant Width",
      "book": 1,
      "number": 36,
      "chapter": "Prove it!",
      "page": "snacks1-page-060.png",
      "statement": "ΔABC is a general triangle. By extending the sides and drawing 6 arcs of circles with centres A, B, C, we can construct the curved red shape as shown - which has constant width d. Prove that the circumference of the curved red shape is πd.",
      "drawing": "a-shape-of-constant-width.lgf",
      "live": true
    },
    {
      "slug": "an-envelope-of-lines",
      "title": "An Envelope of Lines",
      "book": 1,
      "number": 38,
      "chapter": "What's the Area?",
      "page": "snacks1-page-070.png",
      "statement": "Two perpendicular line segments of length 5 cm with equally spaced points form a curve as shown. Find the area of the red region.",
      "drawing": "an-envelope-of-lines.lgf",
      "live": false
    },
    {
      "slug": "a-star-in-an-octagon",
      "title": "A Star in an Octagon",
      "book": 1,
      "number": 46,
      "chapter": "What's the Area?",
      "page": "snacks1-page-078.png",
      "statement": "Find the area of this red star made using diagonals in a regular octagon of unit side length.",
      "drawing": "a-star-in-an-octagon.lgf",
      "live": false
    },
    {
      "slug": "a-point-in-a-square",
      "title": "A Point in a Square",
      "book": 2,
      "number": 1,
      "chapter": "What Fraction is Shaded?",
      "page": "snacks2-page-005.png (right)",
      "statement": "A point inside a square is connected to its four vertices. What fraction of the square is shaded?",
      "drawing": "a-point-in-a-square.lgf",
      "live": true
    },
    {
      "slug": "a-midpoint-and-three-vertices",
      "title": "A Midpoint and Three Vertices",
      "book": 2,
      "number": 2,
      "chapter": "What Fraction is Shaded?",
      "page": "snacks2-page-007.png (left)",
      "statement": "A square is segmented using the midpoint of a side, and three vertices as shown. What fraction is shaded?",
      "drawing": "a-midpoint-and-three-vertices.lgf",
      "live": true
    },
    {
      "slug": "two-midpoints-in-an-equilateral-triangle",
      "title": "Two Midpoints in an Equilateral Triangle",
      "book": 2,
      "number": 5,
      "chapter": "What Fraction is Shaded?",
      "page": "snacks2-page-009.png (right)",
      "statement": "A shaded region is constructed within an equilateral triangle using the midpoint A of a side, and the midpoint between AB. What fraction is shaded?",
      "drawing": "two-midpoints-in-an-equilateral-triangle.lgf",
      "live": true
    },
    {
      "slug": "a-six-petal-rosette",
      "title": "A Six-Petal Rosette",
      "book": 2,
      "number": 7,
      "chapter": "What Fraction is Shaded?",
      "page": "snacks2-page-011.png (right)",
      "statement": "A six petaled rosette is constructed using unit circles, and is enclosed by a rectangle as shown. What fraction of the rectangle is shaded?",
      "drawing": "a-six-petal-rosette.lgf",
      "live": false
    },
    {
      "slug": "a-star-in-a-square",
      "title": "A Star in a Square",
      "book": 2,
      "number": 11,
      "chapter": "What Fraction is Shaded?",
      "page": "snacks2-page-015.png (right)",
      "statement": "A five-pointed star is formed in a square by joining a vertex and its four midpoints as shown. What fraction of the square is shaded?",
      "drawing": "a-star-in-a-square.lgf",
      "live": true
    },
    {
      "slug": "eight-triangles-around-a-square",
      "title": "Eight Triangles around a Square",
      "book": 2,
      "number": 12,
      "chapter": "What Fraction is Shaded?",
      "page": "snacks2-page-017.png (left)",
      "statement": "Eight congruent triangles are arranged around a square to form this octagon with 4 mirror lines. What fraction of the octagon is shaded?",
      "drawing": "eight-triangles-around-a-square.lgf",
      "live": false
    },
    {
      "slug": "a-square-on-an-isosceles-triangle",
      "title": "A Square on an Isosceles Triangle",
      "book": 2,
      "number": 5,
      "chapter": "What's the Angle?",
      "page": "snacks2-page-035.png (right)",
      "statement": "A square is constructed from the side of an isosceles triangle as shown. Find the missing angle.",
      "drawing": "a-square-on-an-isosceles-triangle.lgf",
      "live": true
    },
    {
      "slug": "a-hexagon-in-a-square",
      "title": "A Hexagon in a Square",
      "book": 2,
      "number": 8,
      "chapter": "What's the Angle?",
      "page": "snacks2-page-039.png (left)",
      "statement": "A regular hexagon is constructed inside a square as shown. Find the sum of the two highlighted angles. Assume AB and CD are straight lines.",
      "drawing": "a-hexagon-in-a-square.lgf",
      "live": true
    },
    {
      "slug": "cotangent-circles-in-a-rectangle",
      "title": "Cotangent Circles in a Rectangle",
      "book": 2,
      "number": 9,
      "chapter": "Sangaku",
      "page": "snacks2-page-059.png (left)",
      "statement": "Cotangent circles are enclosed in a rectangle as shown. If the radius of the large circle is 3, and the length of the rectangle is 8, what is the radius of the small circle?",
      "drawing": "cotangent-circles-in-a-rectangle.lgf",
      "live": false
    },
    {
      "slug": "two-ellipses-in-a-square",
      "title": "Two Ellipses in a Square",
      "book": 2,
      "number": 2,
      "chapter": "Curiosity Closet",
      "page": "snacks2-page-091.png (right)",
      "statement": "Two ellipses are constructed using opposite vertices of the dotted square as foci such that the remaining vertices also lie on each ellipse. A second square is then constructed using the points where the two ellipses intersect. What is the ratio of the areas of each square?",
      "drawing": "two-ellipses-in-a-square.lgf",
      "live": false
    },
    {
      "slug": "two-concentric-pentagons",
      "title": "Two Concentric Pentagons",
      "book": 2,
      "number": 3,
      "chapter": "Curiosity Closet",
      "page": "snacks2-page-093.png (left)",
      "statement": "Two concentric regular pentagons are constructed with parallel sides such that the upper left vertex of the smaller pentagon is on a diagonal of the big one. What is the missing angle?",
      "drawing": "two-concentric-pentagons.lgf",
      "live": false
    },
    {
      "slug": "two-semicircles-on-a-line",
      "title": "Two Semicircles on a Line",
      "book": 2,
      "number": 4,
      "chapter": "Curiosity Closet",
      "page": "snacks2-page-093.png (right)",
      "statement": "Two semicircles lie on a straight line as shown. A square is constructed on the tangent line between them. A dotted square and shaded rectangle are constructed using the diameters of the semicircles. Show that the two shaded areas are equal.",
      "drawing": "two-semicircles-on-a-line.lgf",
      "live": true
    },
    {
      "slug": "a-point-in-a-rectangle",
      "title": "A Point in a Rectangle",
      "book": 2,
      "number": 6,
      "chapter": "Curiosity Closet",
      "page": "snacks2-page-095.png (right)",
      "statement": "From a point inside a rectangle, a perpendicular to the sides is drawn. Prove that the area of the blue triangle is equal to the difference of the areas of the two red triangles.",
      "drawing": "a-point-in-a-rectangle.lgf",
      "live": true
    }
  ]
}