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Physics of the fish: Masked Butterflyfish
Physical explanation to the Musked Butterflyfish

Masked ButterflyFish
masked_butterflyfish_by_peters.jpg
Donnated by the Photographed Lance Peters. See a link to his site in the page "Important Links"

 Masked Butterflyfish (Chaetodon Semilarvatus)

1.  Details

Name:  Masked Butterflyfish (Chaetodon Semilarvatus) belongs to the family Chetodontidae.
Habitat: The Red Sea. The adults live in pairs at constant areas in the front of reefs. Its menu includes mainly coral polyps. It sometimes rests without motion in hide places.
Description: Its body is flattened and high. Its length is 15-23 cm from head to base of tail. The tail is 2 cm long. The color of its body is yellow with 13-14 brown-orange height bands. It has a gray stain which seems as a cheek. (Therefore, its name in Hebrew is "Parperon Afor-Lechy").
Reference: D. Golani and D. Darom, Handbook of the Fishes in Israel, Keter Publishing House Ltd. 1997 (In Hebrew). p.78].

2   Physical Explanations

2.1  Mechanical considerations: 

The body is flattened and high. This allows this ship to go into narrow and long cracks in the reef .  The main color of the body is yellow.  In BioColorPhysics the Yellow color is correspondence with the mechanical property: "Shearing Stiffness".  Shearing strains occure when two oppsite forces are emploied on adjacent points of the skin, in this case.   Shearing Stiffness  means the skin will not be torn due to Shearing strains.  The existance of Yellow skin in this fish and in other kinds of Butterflyfihes, hints that there are a lot of small vortices in the zone of these fishes abitat.  This is reasonable conclusion when considering the many small vortices due to streams of water through the branches of the corals in the reef.  
 
There are also 13-14 brown-orange height bands in the body of the Masked Butterflyfish.  This might be due to addition of Red and Black colors to the Yellow skin, at those bands. In BioColorPhysics, the Mechanical property correspondence to Red is "Bending Elasticity",  and to  Black is "Tension Stiffness".  Thus, those Brown-orange bands hints that along those bands there is addition of Bending and Tension strains. A source to such additional strains might be while this fish bends somewhat its body to the sides.  The flattened body means there is no havy layer between the inside bones and the skin. Thus, when the body of this fish bends to the side, the skin in the center of the body might be stretched somewhat.  The addition of the Red may allow the Bending Elasticity of the skin along those bands. The addition of Black may add Tension Stiffness in those bands. 
 
It is remarkable to note that a Black band exists at the tip of the tail of this fish. There is no doubt that the tip of the tail sustains tension stresses while the tail move to left and right. The tail behaves essentially in the water as a flag in the wind. You may notice that flags are sometimes torn at their edge when they are too long time in a strong wind. In principle what matter is the relative velocity between the flag and the air. For understanding this, let us suppose we have a flag that it is not tied to a constant point in the ground and it can be free to move from side to size. Suppose the air is still, i.e. there is no wind. Suppose also that the flag floats in the air. Now let this flag move from side to side at a specific frequency, F. Therefore, the flag will advance at a specific speed, V. Now let stop the flag and tie it to the top of a stick while its lower end is in the ground. If we push an air in the direction of the flag while the wind velocity is the same V, then the frequency of the flag will be the same F. This principle of relative velocity is the base to many aerodynamic and hydrodynamic experiments. All this was explained in order to convince that the edge of the tail of the fish has the same problem as the edge of the flag. They both sustain tension stresses. The addition of Black color to the edge of our fish's tail hint about the solution that Nature found to this problem.
The Mechanical properties corresponding to the Gray color, in BioColorPhysics, are "Crush Elasticity" plus "Tension Stiffness". The Gray stain on the cheek of the Masked Butterflyfish hints that this area may sustain crush and tension stresses. We notice from the picture that this stain is at the continuation of the eye. This may hint that while this fish moving its eye, the skin close to the eye is crushed or stretched. This is not the case with our eyes, since our eyeball imbedded totally inside a hole in our skull. For looking backwards without turning the whole body we turn the head by 90 degree. This is due to our flexible neck. However, fishes do not have a neck. A neck could cause high hydrodynamic drags while the fish swims. Thus, for looking backwards, the eyeball of the fish is somewhat out of the skull. Therefore, the skin is effected by the movements of the eyeball. When the eyeball moves it pulls or pushes the edge of the skin close to it. The geometry of the Gray stain in this fish may hint about the following. Let us say that the motions of the eyeball forewords and backwards leads to a medium level of crushing and stressing of the skin. Then, the motion downward leads to a lower level while the motion upward leads to higher level. This may hint that this fish looks upwards more than downwards. It is plausible that this fish's head is more downwards, while foraging for coral polyps, than upward. All this may hint that while the head of this fish is downwards the fish looks not only downwards but also in the horizontal direction, i.e. upwards of his head.

It is amazing, even for me, to find out so many hints from a simple stain, by using BioColorPhysics.  I hope biologists will search this subject and see which of those hints are true. 

 
2.2 Thermal Considerations

The main color of this fish is Yellow, which is corresponding, in BioColorPhysics,  to the Thermal Property "Heat Conservation".  How we explain this. Let us recall that this fish, Masked Butterflyfish, forages for coral polyps in the front of the reef.  Usually this means shallow water. In addition, the foraging is during the day hours in the Red Sea, which is usually sunny. Therfore, it seems reasonable that this fish absorbs and conserve the sun rays while the fish is exposed to the sun, in order to keep the temperature of the body, between certain limits, when the fish goes in and out between the coral branches and cracks which supply places that are not exposed to direct sun and therefore the temperature there is lower than outside of the shades.  

The Gray stain in the continuation of the eye is interesting not only due to the Mechanical characteristics discussed above, but also due to the Thermal characteristics, as we explain now. Gray color corresponds, in BioColorPhysics,  to "Cold Insulation" plus "Heat Insulation". Therefore, this enable to suggest that the Gray stain protects the inside part of the eyeball from excess of Cold or Heat. As we know from Hi-Tec technology of vision, the sight sensors should be kept within significantly different temperature than the temperature of the observed object. For instant, when a snake uses its InfraRed eye for detecting the hot body of a rat inside a cave, the temperature of the cave, and thus of the infrared sensor of the "cold blood" snake, is lower than the temperature of the body of the "hot blood" rat. When the snake and the rat are both outside the cave in sunlight,  the snake may not be able to observe the rat by the infrared eye. For this purpose the snake should use its usual eyes. The same principle may hold in the case of the Masked Butterflyfish. The polyps should are probably at about the same temperature as the water. The fish is "cold blood". Therefore, its' body  temperature is also about the temperature of the water. If the eyeball is not insulated from the temperature of its surrounding, including the hot sunrays or the coldness of the coral cracks, this fish might have difficulties to observe its menu.  Thus, the Gray stain in the continuation of the eye hints that this stain insulates the inside eyeball from too cold or too hot temperatures.

There are many animals, specially those with "cold blood" that have special stains near the eyes. The explanation here may explain those stains as well.

 
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