Search Results for “mirror”
Parabolic Mirror
Light impinges on a parabolic mirror at angle θ to the vertical. The reflected light concentrates in the region indicated.
Sinusoidal Tangent Mirrors
Look at a point on a sinusoidal curve (y=sin(x)) with a tangent line. Then, look at a point on the negative of your sinusoidal curve (y=-sin(x)) that is a mirror image of your first point. Then, notice that these mirror image points have mirror image tangent lines.
Kaleidoscope
A kaleidoscope works by mirrors. Specifically an equilateral triangle of mirrors which present reflections and reflections of reflections. Here is the inner core. You can drag the red point to rotate the kaleidoscope. You can also drag the vertices of the original triangles.
Kaleidoscope
A kaleidoscope is typically made with mirrors aligned as an equilateral triangle and rotated. Multiple reflections form a symmetrical pattern which changes as the triangle is rotated. Drag the corners of the four original triangles to change the pattern, then drag the red dot to rotate the kaleidoscope.
Caustic curve as focus of parabola
The red curve is f(x) (for -2≤x≤2). The blue curve is the terms up to the square term of the Taylor series. A is the vertex of this parabola, B is its focus. The orange curve is the caustic - envelope of the reflection of vertical rays reflected in a mirror aligned with f(x). Observe that the focus of the parabola traces the caustic.
