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The Fibonacci Gauge - GenAlpha E05
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The Fibonacci Gauge - GenAlpha E05

The Fibonacci Gauge is a hands-on STEAM activity that introduces students to the Fibonacci sequence, the Golden Ratio (1.618), and mathematical proportions. Students assemble a movable measuring tool using interconnected arms and pivot joints. By opening and closing the gauge, they can explore how the Golden Ratio remains approximately constant and compare proportions in everyday objects such as books, smartphones, and picture frames.

  • fibonacci sequence
  • golden ratio
  • mathematical measurement
NINimantha Adikaram
Oct 30, 2026
6 views
Download PDFDownload with files

Supplies and tools

  • Fibonacci Gauge kit (pre-cut or 3D-printed parts)
  • Ruler (optional, for verifying measurements)
  • Fine sandpaper (if the joints are too tight)
  • Glue (optional, if the joints are too loose)
  • Everyday objects for testing

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    Step 1: 3D Print the Fibonacci Gauge

    3D Print the Fibonacci Gauge
    Fibunacci.stlDownload

    Step 2: Prepare the 3D-Printed Parts

    Prepare the 3D-Printed Parts

    Step 3: Arrange the Arms

    Step 4: Connect the Parts

    Connect the Parts

    Step 5: Test the Fibonacci Gauge

    Test the Fibonacci Gauge

    Step 6: Check the Golden Ratio

    Step 7: Explore Real-World Objects

    Download the provided STL files and import them into a 3D printing slicer, such as Ultimaker Cura or PrusaSlicer. Select the appropriate printer settings, generate the G-code, and print all the required components, including the arms and connection pins.

    Carefully remove all the components from the 3D printing bed. Identify the two longer outer arms, two shorter inner arms, and connection pins. Remove any unwanted printing supports if necessary.

    Place the two longer arms on the outside and the two shorter arms between them. Make sure all the measuring tips point in the same direction.

    Use the provided 3D-printed pins to connect the arms at their pivot joints. Ensure the connections are secure while allowing the arms to move freely.

    Gently open and close the gauge. Observe how the arms move together while maintaining approximately the same proportional relationship between the measuring tips.

    Place the gauge on the provided calibration card. Align the outer measuring tips with the marked outer points and check whether the middle measuring tip reaches the Golden Ratio reference point.

    Use your completed Fibonacci Gauge to compare the proportions of everyday objects, such as books, smartphones, and picture frames. Discover which objects have proportions closest to the Golden Ratio (1.618)!

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