# Math and Arithmetic

### Math is the study of abstractions. Math allows us to isolate one or a few features such as the number, shape or direction of some kind of object. Then we can study what can be learned about the behavior of those features while ignoring everything else about the object.

###### Asked in Math and Arithmetic, Art History, Plural Nouns, The Difference Between

### What is the difference between 2D and 3D?

2D and 3D refer to the actual dimensions in a computer's
workspace. 2D is 'flat', using the X & Y (horizontal and
vertical) axis', the image has only two dimensions and if turned to
the side becomes a line. 3D adds the 'Z' dimension. This third
dimension allows for rotation and depth. It's essentially the
difference between a painting and a sculpture.

###### Asked in Math and Arithmetic, Percentages, Fractions, and Decimal Values

### What is 4.3 as a percent?

to convert a decimal to a percentage you multiply it by 100 or move the decimal point back 2 times in this case you chose 4.3 which would be 430%Another way to tell is that you have 4 wholes since 4 is in front of the decimal point which makes the 400% the 3 in back of the decimal point would be 3/10 since 3 divided by 10 is .3, times 100 to turn it to a percentage. so .3 times 100 would be 30(%) if you add up the 400% and the 30 % you will get 430%

###### Asked in Math and Arithmetic, Calculus

### What is the antiderivative of -cscxcotx?

First, antiderivative = a solution to the indefinite
integral
therefore to integrate -(csc(x))(cot(x)) first convert it to
-cos(x)/sin2(x)
To integrate ∫-cos(x)/sin2(x) dx, use substitution u = sin(x)
and du/dx = cosx
This will make it ∫-1/u2 du and the antiderivative is 1/u +c,
therefore the answer is 1/sin(x) + c.

###### Asked in Fine Art, Math and Arithmetic, Graphic Design

### What is a term for an infinitely repeating image such as the label on land o lakes butter?

The term used to describe an infinitely-repeating images such as
the Land O'Lakes butter packaging design featuring an Indian maiden
is an 'infinite-loop motif' also known as the 'Droste
effect'.
The first term is self-explanatory; the second is named for the
logo used by the Dutch brand of cocoa powder, Droste, which
features an image similar in concept to the Land O'Lakes butter
logo.
The infinite-loop motif has long fascinated artists and viewers
alike. We know the motif doesn't really keep repeating
forever, but the idea that it appears to do so fires our
imagination.
A link below gives more information on the Droste effect.
Professor Mandelbrot, the mathematician who died in October
2010, coined the term 'fractal', describing the boundary of the
Mandelbrot set named for him: this describes an 'interated
function', a mathematical function, an iteration, repeating
itself indefinitely. There is an inviting similarity between
fractals and the infinite-loop motif, even if viewed solely as an
art form.

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