Video summary
The video explores an interactive web application from bionic.com that simulates the complex biomechanics of the human inner ear, specifically focusing on how sound waves are transformed into electrical signals perceived by the brain. The simulation begins by illustrating the journey of a sound wave entering the cochlea, a fluid-filled spiral structure that acts as a frequency analyzer. As the acoustic pressure wave travels through the fluid, it moves along the basilar membrane, which is not uniform but rather changes physical properties from base to apex. Near the oval window, the membrane is narrow, tight, and light, resonating at high frequencies, while becoming wider, heavier, and more compliant toward the apex to resonate with low frequencies. This structural gradient allows the ear to map specific pitches to specific locations along the membrane, a phenomenon mathematically described by Greenwood's frequency mapping function.
Upon reaching its resonant spot, the traveling wave causes the fluid to displace, bending the stereocilia on top of the inner hair cells. These tiny hair-like structures are connected by protein "trip wires" that act as microscopic trap doors; when bent by the fluid motion, they open ion channels allowing potassium and calcium ions to rush into the cell, causing depolarization. However, a whisper alone lacks the physical force to open these channels effectively, which is where the outer hair cells play a critical role. Unlike the sensory inner hair cells, the outer hair cells function as active biological motors packed with prestin proteins that contract and expand in sync with sound waves. This electromotility actively pumps energy back into the fluid wave, amplifying quiet sounds by up to 50 decibels while simultaneously sharpening frequency resolution. At high volumes, this mechanism saturates to protect delicate structures from damage, acting as a biological shock absorber.
Once the inner hair cells are activated, they release glutamate chemicals that trigger electrical spikes in the auditory nerve, which travel to the brain using two primary coding strategies: rate-place and temporal phase-locking. The place code relies on the physical location of the firing nerve fibers to determine pitch, while the firing rate indicates loudness. For lower frequencies, the nerve spikes lock precisely to the phase of the incoming sound wave, a process quantified by vector strength. This precise timing allows the brainstem to calculate microsecond differences in arrival time between the ears, enabling humans to pinpoint the exact location of a sound source in three-dimensional space. The video concludes by highlighting how understanding these intricate biological and mathematical processes could lead to advanced technologies like cochlear implants that bypass damaged hair cells to directly stimulate the auditory cortex, potentially revolutionizing hearing restoration and our ability to synthesize natural sound perception.
Read the full video transcript
Okay. Hello everyone. We'll be quickly
reviewing this web application. It's a
simulation of what's happening inside
your inner ear. These are
neurons called hair cells cuz they kind
of look like hair cells. Um the page is
interactive. You can go check it out.
It's on bionic.com/hair
cells. You can interact with the tool
yourself. see what it does.
There's a description at the bottom. Go
check out all the other tools we have on
binos.com.
And don't forget to provide your
feedback. We have a lot of new tools in
the works.
You can look at an early version of them
as well. It's all on the page. It's all
on the site.
I'll do an overview by notebook of the
simulation. You can regenerate this uh
yourself. You have this so we can put
the tool in full screen so you don't
have the the annoying browser bits.
And when we hit the start demo, it will
actually cycle through the different
parameters, different settings, and show
you around.
So picture this. You are standing in the
very center of a massive, perfectly
silent cathedral.
>> Okay, I can picture that.
>> The air around you is entirely still and
then someone drops a single metal pin
onto the stone floor like 100 ft away.
>> Right. So the sound that actually makes
it to you is incredibly faint.
>> Exactly. It's just this microscopic
disturbance in the air. You know, a tiny
ripple of pressure. Yet, without even
thinking about it, you instantly turn
your head and look directly at the exact
spot where that pin fell.
>> It is pretty wild when you really think
about it.
>> We take that ability completely for
granted. Yeah.
>> But how does that actually happen? I
mean, it is certainly not magic.
>> Far from it. That simple everyday
reaction is actually the result of a
high-speed microscopic biomechanical
ballet. And uh it is happening inside
your head in a matter of milliseconds.
>> Welcome to today's deep dive. We are
taking you on a tour of that exact
biological ballet step by step.
>> Yeah, we are really getting into the
weeds today.
>> To figure this all out, we're diving
into an incredible digital simulation
from bionicos.com
that is bionic chaos.
>> Right, which allows us to trace a
soundwave from the air through the fluid
of the ear and directly into the brain
circuitry. We are going to use their
demo mode as our map today
>> to understand exactly how a physical
vibration transforms into the electrical
signals your brain perceives as sound.
>> And this simulation is incredibly
comprehensive. To really grasp what
we're looking at, you kind of have to
shift your perspective.
>> Shift it how?
>> Well, you need to think of the mamalian
cookia not just as a part of your ear,
but as a fluidfilled spiral-shaped
biomechanical frequency analyzer.
>> A biomechanical frequency analyzer. That
sounds intense.
>> It is. Its entire job is to take
acoustic airborne pressure waves and
translate them through some incredibly
complex and chaotic fluid dynamics into
electrical action potentials that your
auditory nerve can actually read.
>> Okay, let's unpack this. Before we zoom
all the way into the microscopic cells,
we have to start at the macro level,
>> right? We need the big picture first.
>> We need to see how a sound wave
physically travels through this
biological machinery. H.
>> So if we jump into the simulation, the
first lens we can look through is called
the tonotopic wave.
>> This gives us a bird's eye view of the
main structural component which is the
basil or membrane and how a physical
wave travels down it.
>> So we can throw a curveball at this
virtual ear to see what happens. The
simulation has an acoustic frequency
slider and I can sweep it all the way
from a low rumbling 200 Hz,
>> which is like a deep bass note.
>> Yeah. up through the mid-range of 4,000
hertz all the way to a piercing 16,000
hertz.
>> And as I move that slider, you see this
continuous physical waves traveling
along the basler membrane.
>> It is really cool to watch.
>> The best way I can describe looking at
this membrane is like a rolled up
biological xylophone. It literally
changes its physical shape and
properties from one end to the other.
>> And that structural gradient is the
absolute key to everything. The basil
membrane is not uniform at all.
>> How so? Well, at the base, which is
right near the oval window where the
sound first enters from your eardrum,
the membrane is narrow. It is taut and
it is very light.
>> So, kind of like a guitar string pulled
tight.
>> Exactly like that. Because of those
physical properties, it naturally
resonates at very high frequencies up to
20,000 hertz in humans.
>> Okay? So, it catches the high pitches
first. But what happens as that wave
travels further inward deeper into the
spiral? As the wave moves toward the
apex, the membrane becomes drastically
different. It becomes approximately five
times wider and significantly more
floppy.
>> More floppy, right?
>> Yeah. Or compliant is the technical
term. Because it is looser, heavier, and
wider, it resonates at much lower
frequencies going all the way down to 20
hertz.
>> So the physical geographic location on
this membrane determines the exact pitch
you hear.
>> Yes. And we don't just know this
conceptually. I mean it has been mapped
mathematically to an astonishing degree
of precision.
>> Right.
>> In the simulations documentation, you
see this defined by Greenwood's
frequency mapping function.
>> Yeah, I saw that in the lab notes. There
is an actual empirical formula for human
hearing. But I'm going to be honest,
looking at the math, the function relies
on constants like a is 165.4 and little
a is 2.1.
>> It is a lot of numbers.
>> It feels incredibly abstract. Why should
anyone listening care about those
specific numbers? Well, you don't need
to memorize the numbers, but you should
absolutely care about what they
represent.
>> Okay, play it on me.
>> That equation proves that your ear is
tuned on a logarithmic spiral. The
exponential nature of that math is why
human hearing is so uniquely
disproportionately sensitive to the
specific frequencies of human speech.
>> Oh wow. Wait, really? So, the physical
tissue has literally mathematically
evolved to prioritize us talking to each
other.
>> That is exactly what the math dictates.
When a pure tone soundwave enters, it
creates a traveling wave in the fluid.
Okay? And that wave propagates from the
tot base towards the floppy apex.
>> As it travels, it slows down and builds
an amplitude. It gets bigger and bigger
until it hits its exact resonant spot on
the membrane.
>> The spot that perfectly matches its
frequency,
>> right? It hits a peak and then
immediately beyond that spot, it underos
a rapid spatial decay. It just crashes
and stops entirely.
>> Okay? Because the wave hits this very
specific resonant peak based on the
frequency. Let's use the simulation to
zoom directly into that exact spot on
the membrane.
>> Let's do it.
>> Let's see what happens at the crash
site.
>> Moving from the macro to the micro. This
is where we change our lens in the
simulation to look at the organ of
cordi.
>> Let me set the scene for this. We are
looking at a microscopic cross-section
of the tissue. I am setting up a
specific scenario on the dashboard to
see how the system handles it.
>> Sounds good. So, the exact spot we are
zoomed in on has an active
characteristic frequency of 5,913
hertz. But let's send in a sound that is
slightly off peak. I'll set the incoming
acoustic frequency to 5,850 Hz.
>> Okay. A little offc center.
>> Yeah. And for the loudness, the sound
pressure level, I'm pulling the slider
way down to just 15 dB. That is a mere
whisper.
>> What's fascinating here is what stands
out when you look at that crosssection.
The organ of cordi sits right on top of
that flexible basler membrane, but it is
populated by a very specific cast of
characters.
>> It looks like two distinct groups of
cells. On the left side, there is a
single solitary row of cells. The
simulation labels these as inner hair
cells or IHC's. It says there are only
about 3,500 of them in the entire human
ear.
>> Yeah, those 3,500 cells are your primary
sensory receptors. Mhm.
>> Almost all of the wires going to your
brain, over 90% of the aference spiral
ganglion and synaptic connections start
right there on that single row.
>> But then on the right side of the
screen, there are three parallel rows of
a totally different type of cell. The
outer hair cells or OC's.
>> Yeah.
>> And there are way more of them, about
12,000.
>> We will get to the outer cells in a
moment because they do something
entirely different.
>> Okay, so sticking with the left side for
now,
>> right? Let's focus on that single row of
inner hair cells on the left. That is
where the physical wave is actually
captured. Above these cells is the
tectoral membrane and the space between
is flooded with a specialized fluid
called endolymph.
>> Oh, I see it in the visualization as our
15 decel whisper wave rolls through. You
can literally see the fluid sheer
displacement happening.
>> Exactly.
>> The fluid movement between the tissue
layers physically bends this little
staircase bundle that's sitting on top
of the inner hair cell. They look like
tiny hairs, which I guess is why they're
called hair cells, but they are
technically actinfilled stereocyia.
Notice what happens when those hairs
bend toward the tallest row.
>> It puts tension on these tiny
microscopic connections, stringing them
together. I absolutely love this
analogy. Think of them as microscopic
protein trip wires.
>> That is a great way to picture it.
>> The simulation identifies them as tip
links, specifically caderin proteins
like CDH23.
When the little hairs bend in the fluid,
these protein trip wires get pulled
tight and they physically yank open
biological trap doors on the surface of
the cell. Those trap doors are mechano
electrical transduction or meti ion
channels. And the simulation models the
dynamic probability of these channels
opening using a two-state boltsman
distribution.
>> You're you're losing me a bit with the
statistics there. A Boltzman
distribution. I mean, I thought a trap
door is either open or closed.
>> It's it's not just a simple onoff switch
because we are dealing with microscopic
chaotic fluid dynamics. Those trip wires
are constantly vibrating slightly. I see
>> the Boltzman distribution math basically
just calculates the exact probability of
how many of those thousands of trap
doors are yanked fully open at any given
millisecond depending on the exact
tension of the wave.
>> Okay, that makes sense. But why does
yanking a trap door open matter? What is
actually outside trying to get in?
>> This is where the brilliant bioysics
comes into play. That endolymph fluid
surrounding the cell isn't just water.
It is heavily loaded with potassium
ions. Okay,
>> it acts like a biological battery
carrying what we call an endoc clever
potential of positive 80 m.
>> So it's basically a highly pressurized
electrically charged fluid just waiting
for a way in.
>> Precisely. The moment those met trap
doors are yanked open by the physical
tension of the soundwave, there is a
steep immediate inward rush of potassium
and calcium ions into the cell.
>> And we can see this happening in real
time on the data readout. The screen
shows the internal voltage of the inner
hair cell is currently shooting up to -
38.7 molts
>> which is a massive rapid depolarization.
Normally at rest these cells sit around
70 molts. So hitting - 38 is a huge
spike
>> right?
>> This voltage change travels down to the
bottom of the cell and activates
basilateral voltage gated calcium
channels. This sudden influx of calcium
induces rapid exocytosis at the
synapses.
>> Whoa, hold on. Rapid exocytosis sounds
like a spell from Harry Potter. You were
losing me with the biology terms again.
In plain English, what is the cell
actually doing?
>> Fair enough. Fair enough. Think of
exocytosis as the cell vomiting chemical
messengers.
>> Vomiting. Okay, that's a visual.
>> Yeah. The voltage spike causes the
bottom of the cell to rapidly dump tiny
packets of a chemical called glutamate
into the gap between the cell and the
nerve fiber.
>> Ah, I see.
>> That glutamate is the chemical signal
that tells the auditory nerve to fire an
electrical spike to the brain. Okay, I
have to pause you right here because I
have a major push back on the physics of
this entire mechanism.
>> Let's hear it.
>> Earlier, I set our sound pressure level
slider to only 15 dB. We are talking
about a microscopic, barely there
whisper of a soundwave,
>> right? How does such a weak, pathetic
little puff of air create a fluid wave
with enough actual physical force to
yank open thousands of cellular trap
doors across this membrane? It really
doesn't seem like there is enough
physical energy in a 15 decel sound to
move the mechanism we are looking at.
>> That is the perfect question. And
honestly, your skepticism is completely
justified because based on simple fluid
mechanics, a 15 decel sound isn't strong
enough to open those trap doors.
>> Here's where it gets really interesting.
This is why the mamalian ear is a marvel
of evolutionary engineering. Remember
those 12,000 outer hair cells sitting in
three parallel rows on the right side of
our screen?
>> The ones that outnumber the actual
sensory receptors by almost 4 to one.
>> Yes, those. They aren't just passively
sitting there sensing sound. They are
active biological po electric motors.
>> Wait, motors?
>> Yeah. The outer wall of every single one
of those 12,000 cells is densely packed
with millions of voltage sensitive motor
proteins called Preston.
>> Motor proteins. They physically move.
>> They do. When that faint acoustic
vibration initially hits the outer hair
cell, that Preston protein underos a
sudden dramatic shape change. It
physically shortens the cylindrical body
of the entire cell. And when the wave
passes, it elongates again.
>> Wait, let me look at the simulation data
here. It shows the outer hair cell
electromotility is at 100% meaning it's
fully active and it's causing a physical
shift of -6.38 nm. Right?
>> Are you telling me these entire cells
are physically bouncing up and down to
match the sound wave? At what speed?
Because the sound frequency we said is
almost 6,000 hertz.
>> They are bouncing at tens of thousands
of times per second.
>> That is insane.
>> They dance in exact cycle by cycle phase
with the incoming wave. As they bounce,
they exert dynamic mechanical force
directly back onto the basil membrane.
>> That is completely mind-blowing. They
are literally pumping physical energy
back into the fluid wave to make it
bigger.
>> Yes. This feedback loop is formally
termed cocklear amplification.
For very quiet sounds like your 15 decel
whisper, these bouncing motors add 40 to
50 dB of mechanical gain to the
membrane.
>> Wow. They take a weak whisper,
physically amplify the fluid wave
locally, and make it strong enough to
yank open the trap doors on the inner
hair cells.
>> That is incredible.
>> Not only that, this mechanical feedback
sharpens the frequency tuning. It gives
you the ability to resolve single
distinct tones instead of just a muddy
wash of sound. So, if you're listening
to this and your child whispers a secret
to you from across a quiet room, the
only reason you can hear them is because
you have 12,000 microscopic cells doing
a high-speed trampoline routine inside
your ear to turn up the volume.
>> Exactly. That is exactly what is
happening.
>> But what happens if the sound is already
loud? Does it amplify a shouting voice
until it breaks the internal machinery?
>> That's the genius of the presser system.
At high sound pressure levels, like
anything over 80 dB, the mechanical
feedback naturally saturates.
>> Oh, it caps out.
>> Yeah. It stops amplifying and instead
acts as a biological shock absorber. It
provides compressive protection to the
delicate sensory structures so they
don't literally tear themselves apart
from the force of loud noises.
>> Okay, that makes perfect sense. And the
simulation actually has bethology
controls on the dashboard to demonstrate
how critical these dancing motors are.
>> He does. You can toggle on conditions
like noise trauma from going to too many
loud concerts or ototoxic loss. The
source text specifically mentions otoxic
drugs, certain heavy duty antibiotics or
chemotherapy drugs like cyplatin.
>> Right? If you select those pathologies
in the visualizer, you can literally
watch the outer hair cells degrade and
die. You permanently lose those preston
motors
>> and the result on the data readout is
immediate. Without those biological
amplifiers, your baseline hearing
threshold is instantly elevated by 40 to
60 dB,
>> which means that whisper completely
disappears.
>> Plus, it ruins your ability to
distinguish specific pitches because you
lose that sharp single tone resolution.
>> You are left with a system that can only
detect loud, muddy, blended sounds
because the active localized
amplification is just gone forever.
>> So, let's trace the signal. The acoustic
signal was mechanically captured by the
inner hair cells, heavily amplified by
the bouncing poelectric outer hair
cells. The trap door is yanked open, the
potassium rushed in, and the glutamate
chemical is dumped.
>> Right, that's the sequence.
>> But how does the brain actually read
this chemical dump? Let's switch the
simulation to the final perspective
mode, the neural PST, which stands for
post stimulus time histogram.
>> This is where we leave the ear itself.
We are now looking at the auditory nerve
action potentials, the actual electrical
spikes traveling up your cranial nerve
directly into the brain stem.
>> So, what does this all mean? When I look
at this screen and I turn on the
simulation sonification feature, I don't
hear the pure acoustic tones anymore.
>> No, you won't.
>> The audio guide toggles on this
synthesized auditory nerve spike
crackle. It sounds like intense static,
like popcorn popping really fast. How
does our brain take that chaotic static
and hear a beautiful symphony or you
know understand a language?
>> Well, the auditory nerve fibers transmit
sound information to the brain using two
very distinct coding strategies. The
first is called the rate place curd
>> rate and place. Okay, break that down
for me.
>> The place refers to tenoty which we
talked about at the very beginning with
the xylophone analogy. Because the basil
membrane is physically mapped to
different frequencies, the brain simply
looks at which wire is firing.
>> Okay?
>> If a nerve spike comes from a wire
connected to the base of the cookia, the
brain instantly knows it's a high pitch.
If it comes from the apex, it knows it's
a low pitch. The physical location of
the wire tells the brain the frequency
>> and the rate.
>> The overall firing rate of the nerve
tells the brain the loudness or
intensity. These nerves can fire
anywhere from 5 to 300 spikes per
second.
>> That is fast.
>> Yeah. So the faster the popcorn popping
sound, the louder the brain perceives
the volume to be.
>> Okay. So location equals pitch and speed
equals loudness. That seems like a
pretty straightforward code, but you
said there were two strategies.
>> The second is the temporal or phase
locking code. And this is vital for
frequencies below roughly 4,000 to 5,000
hertz, which includes almost all human
stach.
>> Okay, how does that one work?
>> In this range, the nerve spikes don't
just fire rapidly at random intervals.
They discharge preferentially at the
exact same phase of the incoming
acoustic cycle.
>> Wait, let me make sure I had this right.
If a physical sound wave is at its
absolute peak crest in the air, the
nerve fires its electrical spike at that
exact corresponding microcond
>> precisely. The electrical spike is
locked to the physical wave. If we
connect this to the bigger picture, this
phase locking is mathematically
quantified in the simulation by a metric
called vector strength or R.
>> I see that on the dashboard.
>> Yeah,
>> it calculates the stimulus phase angle
at each spike arrival. If the value of R
is near 1.0, it indicates perfect
flawless phase synchrony between the
sound in the air and the electricity in
your brain. Looking at our data readout,
our baseline vector strength is sitting
at 0.15 right now. But that's because we
are looking at a much higher frequency
near 6,000 hertz.
>> Right? Phase locking degrades at those
high pitches. But when you are listening
to lower frequencies and R approaches
1.0, the fidelity is so mathematically
perfect that your brain stem can do
something incredible.
>> What's that?
>> It compares the phase locked spike
arrivals from your left ear against the
spike arrivals from your right ear. It
uses this timing to compute interal time
differences or ITDs.
>> Okay, I know sound takes time to travel,
but your ears are literally inches
apart. What kind of time differences are
we talking about here?
>> We are talking about microcond level
differences.
>> Wait, microsconds as in a millionth of a
second.
>> Yes. Your brain stem is constantly
comparing the arrival time of a sound at
your left ear versus your right ear,
calculating delays down to fractions of
a millisecond based on the phase locking
code. That is completely insane. My
brain is crunching microscond math right
now just listening to you talk.
>> It is that incredibly precise temporal
coding is exactly what allows you to
pinpoint where a sound is coming from in
three-dimensional space.
>> Which brings us right back to that
massive cathedral we started in.
>> Yeah.
>> The next time you are standing in a
quiet room and you hear a tiny pin drop
and you instantly turn your head
directly to the source of the sound,
take a second to picture what just
happened to make that possible.
>> It's a lot to take in. A faint pressure
wave entered your ear. It navigated a
mathematically perfect, exponentially
tuned spiral of fluid. It was actively
amplified by tens of thousands of
microscopic dancing cells bouncing at
khertz speeds. It yanked open protein
trap doors, flooded a biological
battery, and fired a stream of
electrical spikes so precisely timed
that your brain stem calculated a
microcond difference between your left
and right ear to build a spatial map of
the room. All of that in a fraction of a
second. It really is a flawless
high-speed biomechanical ballet.
>> It truly is a marvel. And looking at
this simulation raises an incredibly
important question to leave you with.
>> What's that?
>> If you look at the related biomedical
simulations linked on bionicos.com,
this open access educational dashboard
is really just the beginning. They are
building commercial enterprise tools.
things like a caullear implant insertion
simulator that models surgical path
mechanics and a live neural mapping
simulator for cortical dynamics.
>> Yeah, I saw those tabs. Enterprise tools
for custom feature engineering and
hardware telemetry.
>> Think about the implications of that. If
we have mathematically mapped the exact
bioysics, the fluid dynamics and the
precise electrical spike code of human
hearing well enough to put it in a fully
interactive browser dashboard. How close
are we to perfectly synthesizing this
process in the real world? Oh, I see
where you're going with this.
>> If we understand the exact microcond
code the auditory nerve uses to speak to
the brain, how long until we can
entirely bypass damaged biological
hardware? I mean, bypassing the hair
cells and the fluid completely and using
an implant to stream perfectly encoded
highfidelity sound directly into the
human cortex.
>> That is a wild thought to end on. If we
already have the mathematical blueprint
for the code, it might just be a matter
of time before we build the direct USB
connection to the brain. Something to
ponder the next time you hear a pin
drop.
>> Okay. So, that was notbook lamb.
Yeah. I'm not sure. So, it's first of
all, it's amazing what what it can do.
The whole the whole tool was generated
by Gemini, one of the Gemini
code agents. Yeah. The demo was
generated by Google whatever the Gemini
notebook used to be called notebook. I
think they changed the name. So that
kind of works. I'm not sure that it
actually
changes the sliders, the controls
correctly throughout the audio.
Kind of could have
done a better job there. Yeah. when we
turn. Oops. Yeah, that's too loud.
That's way too loud.
Yeah, we can reduce the pressure level
to like 10 dibels.
Yeah, that's what happens when you turn
the sonification on.
Yeah. So, it changes uh so it changes
frequency and amplitude
as expected.
Okay. You can select your pathology,
healthy organ of quarti,
healthy coia, noise trauma. So you have
this ones that are not active.
Autotoxic. So this is drug induced
hearing loss. That's what it would look
like
roughly in the in the coia. And this is
synoptotopy
whatever that is can read
about it some more there's a so if you
come out of the full screen the tools
available on bkaos.comsl
you can read more about it description
at the bottom of the page
have some equations and things and also
go out.
This is all available under creative
comments license.
And we have other implant
simulations. This one is uh when you
turn your microphone, it will show you
how a implant converts audio sound
into the stimulation of each of in this
case 22 electrodes.
Yeah. So you can play with the
parameters there. Go check out this tool
as well. bios.com/cia
scene for cockia simulation.
We also have a implant insertion
tool. So we had a recent update to
those.
Yeah, this one you can play surgeon
and try and insert a an electrode array
into the inner ear into the without
damaging it. Because if you yank it or
something, you get this red indication
that you did some damage.
So you probably
will get your
surgeons license V failed. You did
something like that.
So you can try these tools. Yeah. And we
have many more. They're all on the
landing page. Go check out the website
bony.com.
We have biology, cardiology, data
science, some games, healthcare, hearing
and speech imaging, math, music,
neuroscience, physics, and vision.
We have some really interesting
optical illusions there. Let me know if
you want me to cover any of those.
And I'll see you next time.
Bye.