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Build The Spiral - GenAlphaE05
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Build The Spiral - GenAlphaE05

The Golden Spiral Puzzle is a fun, hands-on activity that introduces students to the Fibonacci sequence and geometric patterns. Students repeatedly draw the largest possible square within the remaining rectangle, using its shorter side as a guide. They then connect quarter-circle curves to form a spiral. Finally, students colour and number the squares, exploring the relationship between mathematics, geometry, and patterns found in nature.

  • mathematics
  • design
  • golden spiral
  • fibonacci sequence
NI
Nimantha Adikaram
Oct 30, 2026
4 views
Download PDFDownload with files

Supplies and tools

  • Scissor
  • Ruler
  • Glue
  • Cardboard
  • PDF

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    Step 1: Draw the Largest Square

    Draw the Largest Square
    Golden_Spiral_Paper_Puzzle.pdfDownload

    Step 2: Look at the Remaining Space

    Look at the Remaining SpaceLook at the Remaining Space

    Step 3: Repeat with the Remaining Rectangles

    Repeat with the Remaining Rectangles

    Step 4: Draw the Golden Spiral

    Draw the Golden Spiral

    Step 5: Colour and Number the Squares

    Colour and Number the Squares

    Start with a large rectangle. Look at its shorter side and use that length to draw the largest possible square inside the rectangle.

    Now ignore the square you've already drawn. Look only at the remaining rectangle (13 cm × 21 cm). Use its shorter side (13 cm) to draw the next largest square.

    After drawing each square, focus only on the rectangular space left over. Find its shorter side and draw the largest possible square inside it. Continue until the entire rectangle is divided into squares.

    Draw a quarter-circle inside each square, ensuring all the curves connect smoothly to form one continuous spiral.

    Make your spiral attractive by colouring the squares blue and yellow, as shown in your reference. Label them with the Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13, and 21.

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