Summarizing the second reflection images from the bottom (red) mirror we draw the
following sketch where the objects are in black and the images appear in red.
It is instructive to combine all first and second reflection images from the bottom
mirror in a single figure. The objects are in black, first reflection images are in
gray, and the second are in red.
One can apply the procedure presented above for the bottom mirror second reflection
images two more times to obtain the full set of second reflection kaleidoscope images.
We present the result of this exercise below.
Note that original objects and first reflection images appear in black and gray, respectively.
The bottom mirror and corresponding second reflection images obtained above are shaded in red.
Blue and yellow-green are used to designate the upper left and right mirrors with
their second reflection image sets.
This object-image template is used to create the actual kaleidoscope picture.
They are shown together in the next figure.
Finally, we eliminate the template to reveal the anticipated kaleidoscope image
produced by the object and first and second reflection images.
Third reflection images will complete a hexagon, the pattern that is familiar to those
who have looked through a 60°-60°-60° kaleidoscope.
Go to third reflection images.