Because thre is a nearly perfect translational symmetry in the figure.
Look at the ry1.
The regular pentagon may have, be careful . Put a mirror below the base of it parallel to base and ... .
In physics and mathematics, continuous translational symmetry is the invariance of a system of equations under any translation. Discrete
translational symmetry is invariance under discrete (a certain amount of distance) translation .
The figure is assumed to be infinite, two dimensional, plane with the pattern repeating .
One vertical translation is easily seen, is another (hybrid) translation possible ?
Print a definite part via a drum and repeat it as the paper rolls .
Do never forget 3-4-5 triangle .
The text will be something like " ♦♦e♦♦♦♦♦e♦ "
Within 200 character there should be, in the mean, 26 "e". The avearge number of characters between two "e" should be 200/26 = 8 (approx.) .
200 characters would require 40 spaces . In 240 characters there would be 26 "e" . The mean distance between two "e" would be 120/26 cm. = 5 cm.
(rounded to the nearest natural number) .
For a finite figure we can not have this property .
it should be on the whole plane .
Infinitely many in two dimensions .
The first one has more elements per unit area and ... .
Two translations, shift by 1 in + and - 45° , gives us all. They are also called the (group) generators .
Being quantitative is of certain use . Be carefull about the last two.
The image should stay still, no other way .
The inverse translation, that brings us back to our old cannon, from the resulting figure should be made .
Any number of the translations may be taken as a forward translation and the remainings its inverse .
There are defects but the maim cell has the form of a(n) ...gon .
If one of the spheres is in the center of the cube the form is called body centered cubic .
The travel is linear and begins from the crossing point of the two axes.
We want to introduce you the preliminaries of Furier Transform which is very important. We asked you the area because it is simpler.
The sum of the last three figures is given in ry1.
If bounded at any side, no symmetry .
Integers include both positive and negative natural number (and 0) .
Only vertical shifts create symmetry .
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