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Math

Origami geometry

Explore the first three fold axioms: through two points, point onto point, and line onto line. The crease is a reflection axis. This module does not implement angle trisection.

Origami geometry — Actual application image
Actual application image

What happens

Explore the first three fold axioms: through two points, point onto point, and line onto line. The crease is a reflection axis. This module does not implement angle trisection. Drag the gold handle up to fold. Move B in the diagram, then fold A onto B in O2. Right drag rotates; the wheel zooms. The crease is fixed by the construction; the folding angle is independent. At 180° the moving point reaches its reflection. O3 shows the internal bisector.

Try this

Drag the gold handle up to fold. Move B in the diagram, then fold A onto B in O2. Right drag rotates; the wheel zooms.

Equations used in the module
Equations
reflection(reflection(P)) = P

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