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This question might sound silly, but it is very serious (although geeky, I must admit). When I use my electric toothbrush in front of my alarm clock (one of those with a big red LED display), the numbers seem to break apart. Why?

With my current alarm clock the first 3 segments (a,b,c) make one group and the other 4 make another one. The striking thing is that both groups seem to slowly oscillate, in anti-phase. I cannot affirm that the grouping is the same for every display of the kind -- and I cannot check now because I only have this one LED display at home -- but I've seen this illusion on many different displays in the past.

I think this illusion is fascinating (told you I'm a geek) and I would like to understand why it is...

I believe that it has something to do with 1) the vibrations of the toothbrush making my eyes oscillate in their orbits so the image seems to move (a bit like when you touch your eye on the side with your finger and the whole image seems to move), 2) with the periodic refresh of the segments. I suspect that the two groups I'm seeing actually correspond to two groups of bars blinking in sync, so there really are two groups, (but why do they dislocate like that?) 3) with our periodic perceptual "refresh rate". Something similar to what makes us see car wheels as stationary when they rotate at a certain speed.

I must say my competence in electronics is close to zero, so my questions might be trivial to you guys. How does the refresh of the line segments in a 7 segments display happen? Is it cycling (a,b,c,d,e,f,g,a,b,c...)? How come I see two groups, then? At what frequency are the LEDs blinking? I understand some of these questions depend on the specifications of my alarm clock, but since I've seen this illusion on basically every type of LED display I passed by with my toothbrush (microwave, VHS video recorder (yes the story started long ago. I bought the toothbrush I'm now using just for understanding this silly illusion, but it was actually as a teenager that I noticed it)...), I guess there is something constant there...

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I have wondered the exact same thing... – Prof. Falken May 26 '12 at 18:14
Do you experience it only when you use your electric toothbrush? Or did it happen on different occasions too? – Count Zero May 26 '12 at 18:15
Using a Braun Oral B, old, electric toothbrush I was unable to replicate your described effect on a sample of two displays. One is a red LED alarm clock and the other a microwave oven time display - apparently VFD. You are almost certainly either interacting with the multiplexing or are insane or have a brain tumor. The first of the 3 choices seems overwhelmingly most probable, fortunately. Sleep needed. Must rush. Digits are normally multiplexed per whole digit. Not always. – Russell McMahon May 26 '12 at 18:21
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I think Max is describing an effect caused by multiplexing the display segments and slightly, though quickly, virbriating his head due to the electric brush. – jippie May 26 '12 at 18:37
Thanks for your comments. It is best visible when you vibrate the front teeth (at least for me). Also, the fancy twirling Oral-b brushes probably don't do a good job at that. The way I did these days it was actually to just wrap a piece of cloth around the the little vibrating metal rod and stick it against my teeth. – Max May 27 '12 at 12:55
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4 Answers

up vote 11 down vote accepted

Yes, it sounds like you are seeing artifacts of toothbrush frequency vibrating your head and therefore your eyes, and that beating against the LED refresh frequency.

This is a similar effect to eating potato chips (actually anything crunchy) while watching the LED display. In that case the head vibrations are more random, so parts of the LED display will appear to jump around randomly. Some segments will be displayed during a head-high part of a vibration, and others during head-low. These will appear in different locations.

LEDs are refreshed all kinds of ways. A lot has to do with how clever or competent the engineer was that wrote the firmware. I've seen naive refresh algorithms that simply do each digit in order. Those have the most apparent flicker for any one refresh rate. Better means interleave digits, sortof like interlacing of old TV scans lines. The whole display is still refreshed at the same rate, but the apparent flicker is at least in part related to the interlace rate. There are fancy schemes which interleave both digits and segments, but these are often not possible with common displays where whole digits are already partially wired together.

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Thanks a lot. Yes, its funny how after noticing this first with my toothbrush, I was then seeing this type of jump around effect when eating something crunchy or even just clacking my jaws. – Max May 27 '12 at 13:18
I have to say that I'm a bit disappointed by this explanation... So no interaction with a 'perceptual refresh rate'... – Max May 27 '12 at 13:25
@Max: Causing a beat frequency is a interaction. – Olin Lathrop May 27 '12 at 23:18
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Thanks, ok. But that interaction does not involve our perceptual sampling rate. There's some research going on on the topic. It turns out that contrary to our naive intuition, our perception isn't continuous, but rather proceeds in "pulsations". It'd be nice to use this illusion as a way to investigate the topic. There's a bit of work to do here before, though... But let's not loose faith :) – Max May 28 '12 at 12:52
Incidentally, a very common alarm clock circuit powered half the display digits with each side of the AC power input (low-voltage, derived from a transformer). All that's needed to drive the display "common" wires is a diode (and if the reverse breakdown of the displays exceeds the supply voltage, one can omit even that). – supercat May 29 '12 at 16:54

The power line noise could be beating against the LCD display refresh rate (assuming an underfiltered or undershielded power supply and a scanned matrix display output). The motor in the toothbrush can create an oscillating EM field which can couple to power lines. This is just like playing 2 slightly differently out-of-tune notes and hearing a "beat", except visually.

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So this doesn't happen when the brush is merely running but not in your mouth; you have to be actually brushing your teeth? If that's true, then I think you nailed it, that it's a stroboscopic effect between the brush interacting with your eyes, and the refresh rate of the clock's display.

I see something related when I'm driving on the highway at night and approaching a car with LED tail lights, if I sweep my eyes across the road quickly while scanning traffic. Those tail lights look like a dotted red line, while the incandescent ones look like a single red streak.

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No, it doesn't happen when the toothbrush is out of the mouth. Even not when it's not pressing against the teeth. – Max May 27 '12 at 13:02

@Max <<

It is called the "aliasing effect" or the intermodulation (IM) of the LED refresh rate for row or column matrix scanning and the vibration of the tooth brush.

Like the wagonwheel spokes it mixes and any harmonic of the Shannon sampling rate of the LED display and the fundamental of the vibration. So with all the IM Products and only 3 are shown below for brevity, IM products,

One of these frequency differences is at baseband or seismic seizure frequencies. For more details on IM or aliasing effects.

Both are synonyms and occur in mechanical, electrical, magnetic, optical and nuclear interferences of harmonic mixing. There are an infinite number of by-products limited only by the bandwidth of the channel.

You may also look up interference patterns for extra points and if you are really keen, you may find examples for brain wave interference patterns in chemistry. For Alpha, Beta and gamma waves in certain non-linear channels.

Glad you were inspired to ask.

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@Olin Beat Frequency is a common term as BFO radio tuners where the fundamental oscillator is at the same as the carrier and in a mixer creates the beat frequency. Any 2 baseband signals on a piano causing peaks and nulls without any intermodulation or non-linear effect. Here, the eye only sees the image at the crossover of zero acceleration and is the Shannon sampling rate. – Tony Stewart May 29 '12 at 12:50
It samples the higher LED modulation frequency which is faster the the eye can see. Owing to the fact we know this violates Shannon Stability Criterion, the sampling rate of the eye not being >2x (fLED) flicker, is more often called Aliasing or Intermodulation product (IM) But Ham radio guys prefer the term Beat Freq's. Cadillac brake light LEDs were notorious for a similar effect when moving and the eye actually is like a cinema camera in its sampling rate and detects the flick from the corner of your eye which is more sensitive to this Aliasing effect. That has been proven. – Tony Stewart May 29 '12 at 12:54
Correction. It is the processing rate of the brain on eye receptor that has the flicker filtering effective sampling rate. Hence we tend to not notice 60Hz so much even when the eye can see it. The brain LP filters it out before its quasi sampling rate and yet it still can cause fatigue. en.wikipedia.org/wiki/Beat_frequency also as in Intermod upload.wikimedia.org/wikipedia/en/math/9/8/3/… – Tony Stewart May 29 '12 at 13:02

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