01.
symmetry
02.
Translation
03.
Rotation
04.
Homothety
We choose to illustrate our mission in that manner, because we are confident advertisement is subordinated to rigorous rules.
If these rules are strictly followed, results will be guaranteed. We do not like the idea, that advertisement is a kind of art, in which some kind of a genius create supernatural product, whilst sitting in their thrones. Advertisement is a science in which conclusions (advertising forms) at equal input data (marketing research) are alike. Of course the subtlety is in the details. That is why there are different advertising agencies. That is why we also exist …
Symmetry
Definition: Geometrical transformation of identity, at which image is same as original, but with new position and orientation.
Transformation is accomplished by image design towards fixed point (central symmetry) or straight line (axis symmetry).
“Beginning” is a point halving the segments between any point and any of their projections (central).
“Axis” is a perpendicular straight line halving the segments between any point and any of their projections (Axes).
Translation
Geometrical transformation of identity, at which image is same as original, but with a new position and saved orientation. Transformation is achieved by shifting the points at the chosen direction, while path of points is in parallel within them straight lines.
α = 0
x = x + C1
y = y + C2
Rotation
Geometrical transformation of identity, at which the image is same as original, but with a new location and orientation. Transformation is made by rotation of pro-image towards one fixed point (called commencement) and image is created over the circumference connecting that point with the pro-image.
p. A – pro-image, p. A’ – image, p.O – commencement, and α – angle of rotation, C1 and C2 are co-ordinates of commencement (when it is ≠ from (0,0)). α ≠ 0
Homothety
Geometrical transformation of identity, at which the image keeps the size of the angles and correlation of lengths in the pro-image.
Retaining of one fixed point called (commencement) carries transformation forward and image appears over the straight line connecting that point with pro-image, p. A – pro-image, p. A’ – image, p. O – commencement, n – factor of homothety.