LITE Spinning Tops

In this section of the Project LITE web site, we have posted a number of surface patterns for spinning tops. They were designed to fit onto CDs and DVDs. With a suitable spindle running through the center of the CD, the tops can be spun around their central axes. Depending on the rotation speed and lighting, these patterns give rise to a variety of visual effects.

The “Benham” tops (numbers 1 – 4) for example, elicit the percept of color in most viewers. The black and white ones give rise to the appearance of desaturated red, green and blue. When spun in the same direction, the mirror symmetric Benham tops will produce the colors in the opposite order – from center to circumference of the tops. The colored Benham top versions give rise to the appearance of colors (so called “subjective colors”) even though those tops aren’t printed in the observed colors. The next two tops (numbers 5 and 6) mix to produce other colors that do not arise from the ideas of color mixing in an obvious way. Tops 7 and 8, when spun rapidly, produce the appearance of rings that are not actually present. These illusory features are called “Mach bands”. Patterns 9 and 10 are for stroboscopic discs. Spun rapidly under a flickering light source – such as an old-fashioned fluorescent light - they will give rise to the appearance of static patterns. The final two patterns are based on designs first used by Isaac Newton and James Clerk Maxwell. These “color mixing” discs are intended to re-create the appearance of white when spun rapidly, though these will produce only grey.

1.     Benham Disc (White)

2.     Benham Disc (Yellow)

Original
pdf | jpg
Original
pdf | jpg
Reversed
pdf | jpg
Reversed
pdf | jpg
8.5"x11" Sheet
pdf
8.5"x11" Sheet
pdf

 

3.     Benham Disc (Blue)

4.     Benham Disc (Red)

Original
pdf | jpg
Original
pdf | jpg
Reversed
pdf | jpg
Reversed
pdf | jpg
8.5"x11" Sheet
pdf
8.5"x11" Sheet
pdf

 

                

5.     Color Contrast (Red)

6.     Color Contrast (Green)

Original
pdf | jpg
Original
pdf | jpg
8.5"x11" Sheet
pdf
8.5"x11" Sheet
pdf

 

7.     Mach Band 1

8.     Mach Band 2

Original
pdf | jpg
Original
pdf | jpg
8.5"x11" Sheet
pdf
8.5"x11" Sheet
pdf

 

9.     Stroboscopic Disc 1

10.    Stroboscopic Disc 2

Original
pdf | jpg
Original
pdf | jpg
8.5"x11" Sheet
pdf
8.5"x11" Sheet
pdf

 

11.  Newton-Maxwell Disc 1

12.  Newton-Maxwell Disc 2

Original
pdf | jpg
Original
pdf | jpg
8.5"x11" Sheet
pdf
8.5"x11" Sheet
pdf

 

A note about making the tops. We have included multiple versions of the patterns. Use the PDF download button for printing patterns onto plane paper. On the Benham patterns, the “reversed” button will allow for simultaneous printing of the two the mirror symmetric versions onto a single sheet of paper. The single sheet patterns are for printing onto pre-glued CD labels, such as those made by Avery. The JPG versions are for use with Epson printers, which can print the patterns directly onto special white surfaced CDs. For best results, print the patterns at the best quality.  (To make a CD top spindle, find the appropriate plumbing washer at a hardware store and put a pencil, screw or other shaft through the washer.)


The PDFs included here are by Kenneth Brecher and Rebecca Puno.
Project LITE is supported by NSF Grant # DUE-0715975.
© 2012 Trustees of Boston University.
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