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Cinderella Interactive Geometry Program

© Copyright 2000, Jim Loy

Cinderella is an interactive geometry program. See What Can You Do with Cinderella?

The following is an animated Java applet (may take a while to load), of a three bar linkage spelling the letter C (for Cinderella), that I created with Cinderella. Let this load and run, as it will make the sub-pages of this page load faster.

Please enable Java, and reload this page, for an interactive construction (with Cinderella).

My animation Ptolemy's Epicycles has won the 2002 Cinderella Design Award.

Here are some other animations and interactive pages that I created with Cinderella. Each may take a while to load.

Interactive demonstrations:

Geometry demonstrations:

• Angle Trisections
  • Archimedes' Trisection
    • Archimedes' Trisection Animation(a resulting curve)
  • An Attempt at Trisection
  • Durer's Estimated Trisection
  • A Real Trisection
  • Kempe's Trisector
  • Sylvester's Isoklinostat
  • A Trisecting Machine
  • Trisection with Gears
  • My Estimated Trisection
• Some theorems:
  • Angle-Side-Side Theorem
  • Apollonius' Lonely Circle
  • Archimedes' Midpoint Theorem
  • Butterfly Theorem
  • A Carpenter's Square
  • Cavalieri's Principle
  • Finsler-Hadwiger Theorem
  • Four Centers of a Triangle (part I)
    • Four Centers of a Triangle (part II)
  • Johnson's Theorem
  • Miquel's Theorem
  • Monge's Theorem
  • Pascal's Theorem
  • Pythagorean Theorem
    • A Pythagorean Theorem Dissection NEW
  • Varignon's Theorem
  • Viviani's Theorem
  • von Aubel's Theorem
  • Wittenbauer's Parallelogram
• The Shape of a Parabola
  • The Shape of a Parabola - Part 2
• Ellipse and Hyperbola
• Interactive Lengths
• Three Circles
• The Sextant
• Greek Cross Dissection

Physics demonstrations:

• A Cannon Ball
• Block and Tackle
• A Concave Mirror
• A Balance

Other demonstrations:

• A Lock
• My Business Card

Animations:

Geometry animations:

• Conic Sections
• Ellipse
  • Ellipse #2
  • Ellipse #3
  • Ellipse #4
  • Ellipse #5
  • Ellipse #6
  • Ellipse #7
  • Ellipse #8
  • Ellipse #9
• Parabola
  • Parabola #2
  • Parabola #3
  • Also see the interactive demonstrations above
• The Haberdasher's Problem
• linkages:
  • Three Curves
  • Three More Curves
  • Another Three Curves
  • Asymmetry
  • Pantograph
  • A Three Bar Linkage
  • A 9-Bar Linkage
  • Wave
  • A Neat Curve
  • Butterfly
• Spirographs
  • Spirographs of Period Four
  • Ellipse #9 (period two, also listed above)
• Other curves
  • Sine Wave
  • A Standing Wave NEW
  • Two Sine Waves NEW
  • Conchoid of Nicomedes
  • Bifolium
  • Cissoid of Diocles

Physics animations:

• A Lissajous Curve
• Harmonic Motion
• Orbits
  • Ptolemy's Epicycles (winner of the 2002 Cinderella Design Award)
  • The Galilean Moons NEW
  • Keplerian Orbit
  • Co-orbital Moons
  • The Tides NEW
  • Why there Isn't an Eclipse Twice a Month NEW
• Waves
  • Sine Wave
  • A Standing Wave NEW
  • Two Sine Waves NEW

Fun animations:

• Psychic Airplane
• My New Signature (See the picture above right)
• Clockwork
  • My Clock Is Broken
  • Binary Counter
• Daisy
• Moire Patterns
  • 1 - Parallel Lines
  • 2 - Concentric Circles
  • 3 - Lines Radiating from Points
  • 4 - Circles and Lines
  • 5 - More Parallel Lines
  • 6 - Even More Parallel Lines
• Sketch
• Misty Landscape
• Juggling
• Miscellaneous curves
  • Bumps
  • A Complicated Curve
  • A Weird Curve
  • Leaves
  • G

Here are some pages with pictures that I have drawn using Cinderella (and Paint Shop Pro):

• In my Puzzle pages
  • My Three Triangle Puzzle
  • Cans in a Box and subsequent pages
  • A Cable Around the World
  • David Coles' Triangle Puzzle and subsequent pages
  • Sliding Along Circles
  • The Crossed Ladder Problem
  • A Small Puzzle
• in my Mathematics pages
  • Inscribing a Square in a Quadrilateral
  • The Nine Point Circle
  • The Astroid
  • Desargues' Theorem
  • A Right Angle Is Equal To an Obtuse Angle?
  • Pappus' Theorem
  • My Theorem?
  • Figures of Constant Width
  • Squaring a Pentagon
  • Trisection Of An Angle
• in my Astronomy pages
  • Retrograde Motion (also using Animation Shop)

I have also used Cinderella to find the flaws in a few of my readers' attempts to trisect angles. See Trisection Of An Angle. Cinderella works very well for such experimental geometry.

Also I used Cinderella, Paint Shop Pro, and Animation Shop to create these animations for Regular Solids:

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