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Principle 3 7

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Genesis; Principle #3; Gen 2:8-24; p. 7 Marital Union: To grow in openess and unity, we are to follow God's plan regarding a one man-one woman relationship within the bonds of marriage. Video Genesis; Principle #4; Gen 3:1-7; p. 7 Satan's Tactics: Since Satans goal is to deceive us, we should consistently focus on God's truthful message in His. Principle 2: I will reflect and deliberate on what I‘ve learned. Principle 3: I will tell the truth about what I know. Principle 4: I will not try to hide my ideas and feelings. Principle 5: I will use my powers wisely. Principle 6: I will try hard to make the most of my life. Principle 7: I will not be afraid. Principle 8: I will care about.

The human brain is wired to see structure, logic, and patterns. It helps us make sense of the world. In the 1920s a group of German psychologists developed theories around how people perceive the world around them, called Gestalt principles.

For example, what do you see when you look at this image?


Source: The Inspired Eye

If you're like most people, you probably see a triangle. But in reality, all that's there are three white 'pac men.' We see the triangle because our brains take the ambiguous visual information and organize it into something that makes sense to us—something familiar, orderly, symmetrical and that we understand.

When this cognitive process kicks in, our minds leap from comprehending all of the elements as individual and unrelated components to seeing the entire shape as a whole. And as a result, we perceive forms and objects where none were created.

To further illustrate this process, check out the GIF below. Your brain sees a dog walking, but it's nothing more than a series of moving dots.


Source: Gizmodo

These are simple examples, but they demonstrate the types of shortcuts our brains make all the time to quickly make sense of the world.

What are the Gestalt principles?

These shortcuts are known as the Gestalt principles of visual perception, and they detail how our brains create structure by default. But why is understanding this important for web and mobile design?

Why designers should care about the Gestalt principles

Great designers understand the powerful role that psychology plays in visual perception. What happens when someone's eye meets your design creations? How does their mind react to the message your piece is sharing? —Laura Busche, Brand Content Strategist at Autodesk

Think about that quote for a minute. When people first see your designs, how do they experience them? To understand what makes UI design work, you need to understand the psychology of human perception.

The fundamental law that governs a Gestalt principle is that we tend to order our experience in a manner that's regular, orderly, and recognizable. This is what allows us to create meaning in a complex and chaotic world. And having a solid understanding of how these principles work will help you in three ways.

  1. They'll help you determine which design elements are most effective in a given situation. For example, when to use visual hierarchy, background shading, gradients, and how to group similar items and distinguish different ones.
  2. These psychological principles hold power to influence our visual perception, which allows designers to direct our attention to specific points of focus, get us to take specific actions, and create behavioral change.
  3. And finally, at the highest level, the Gestalt principles help you design products that solve the customer's problem or meet the user's need in a way that's beautiful, pleasing, and intuitive to use.

In this article, we'll discuss seven Gestalt laws or principles that directly apply to modern design, and share some examples of how they're used in UI design. This isn't an exhaustive list, but you'll quickly begin to notice that there's an overlap between many of the principles and that they all work together fluidly. Now let's dive in.

Principle #1: figure-ground

The figure-ground principle states that people instinctively perceive objects as either being in the foreground or the background. They either stand out prominently in the front (the figure) or recede into the back (the ground).


Source: A Dwarf Named Warren

In the image above, for example, your eye instantly sees a white apple sitting on a black background.

This determination will occur quickly and subconsciously in most cases. Figure/Ground lets us know what we should be focusing on and what we can safely ignore in a composition. —Steven Bradley, web designer

When people use your website or mobile app, one of the first things they do on each screen is to determine which is the figure and which is the ground. Deliveries 3 2 2 cheats.

Examples of the figure-ground principle

The Basecamp homepage has a bunch of graphics, text, forms, and other information. And because of the figure-ground principle, you can immediately tell that you should focus on the content in the white foreground areas.

AngelList uses the figure-ground principle in two ways below. First, the text and logo on the left side of the page are clearly sitting on top of the background image. Second, the white text in the menu on the right stands on top of the black background.

Principle #2: similarity

The principle of similarity states that when things appear to be similar to each other, we group them together. And we also tend to think they have the same function.

For instance, in this image, there appear to be two separate and distinct groups based on shape: the circles and the squares.


Source: Creative Beacon

A variety of design elements, like color and organization, can be used to establish similar groups. In the image below, for example, even though all of the shapes are the same, it's clear that each column represents a distinct group:


Source: Andy Rutledge

Examples of the similarity principle

GitHub uses the similarity principle in two ways on the page below. First, they use it to distinguish different sections. You can immediately tell that the grey section at the top serves a different purpose than the black section, which is also separate from and different than the blue section.

Second, they also use the color blue to distinguish links from regular text and to communicate that all blue text shares a common function.

Principle #3: proximity

The principle of proximity states that things that are close together appear to be more related than things that are spaced farther apart.


Source: Andy Rutledge

Proximity is so powerful that it overrides similarity of color, shape, and other factors that might differentiate a group of objects.


Source: Steven Bradley

Notice the three groups of black and red dots above? The relative nearness of the objects has an even stronger influence on grouping than color does.

Examples of the proximity principle

The nearness of each image and its corresponding text communicates that they're related to one another.

And Vice uses it to distinguish between the images, headlines, descriptions, and other information for each of its stories.

Principle #4: common region

The principle of common region is highly related to proximity. It states that when objects are located within the same closed region, we perceive them as being grouped together.


Source: Smashing Magazine

Adding borders or other visible barriers is a great way to create a perceived separation between groups of objects—even if they have the same proximity, shape, color, etc.

Examples of the common region principle

In the example from Pinterest below, the common region principle is used to separate each pin—including its photo, title, description, contributor, and other details—from all the other pins around it.

And it's used in the Facebook example below to communicate that the comments, likes, and interactions are associated with this specific post—and not the other posts surrounding it.

Principle #5: continuity

The principle of continuity states that elements that are arranged on a line or curve are perceived to be more related than elements not on the line or curve.


Source: Smashing Magazine

In the image above, for example, the red dots in the curved line seem to be more related to the black dots on the curved line than to the red dots on the straight horizontal line. That's because your eye naturally follows a line or a curve, making continuation a stronger signal of relatedness than the similarity of color.

Examples of the continuity principle

Amazon uses continuity to communicate that each of the products below is similar and related to each other.

Sprig uses it to explain the three-step process to use their app.

And Credit Karma uses it to illustrate the benefits that their services provide.

Principle #6: closure

Principle 3 7 Rule

The principle of closure states that when we look at a complex arrangement of visual elements, we tend to look for a single, recognizable pattern.

In other words, when you see an image that has missing parts, your brain will fill in the blanks and make a complete image so you can still recognize the pattern.


Source: Eduard Volianskyi

For example, when you look at the image above you most likely see a zebra even though the image is just a collection of black shapes. Your mind fills in the missing information to create a recognizable pattern based on your experience.

Examples of the closure principle

The closure principle is used often in logo designs at a variety of companies including IBM, NBC, Zendesk, and Funding Circle.

Principle #7: focal point

The focal point principle states that whatever stands out visually will capture and hold the viewer's attention first.


Source: Smashing Magazine

When you look at the image above, for example, the first thing you notice is the red square because it's different than all of the black circles around it. It's the first point of interest that grabs your attention, and from there your attention moves to other parts of the image. Fsnotes 3 1 0.

Examples of the focal point principle

Twilio uses the focal point principle to draw your eye to their call-to-action button.

And in the example below, Instacart combines the focal point principle with the figure-ground principle to draw your eye to the white foreground, and then to the green 'find stores' button.

Final thoughts

If you understand how the human mind works, it's easier to direct people's attention to the right place. And keeping these principles top-of-mind will help you keep the user at the center of your product development process. If you want to learn more about the Gestalt principles of visual perception, we recommend checking out the resources below.

Further reading:

  • Andy Rutledge's five-part series on Gestalt perception:

Want to learn more?

To learn how UserTesting can help you understand your customers through on-demand human insight, contact us here.

Many counting problems involve computing the cardinality of a union (A cup B) of two finite sets. We examine this kind of problem now.

First we develop a formula for (|A cup B|). It is tempting to say that (|A cup B|) must equal (|A|+|B|), but that is not quite right. If we count the elements of A and then count the elements of B and add the two figures together, we get (|A|+|B|). But if A and B have some elements in common, then we have counted each element in (A cap B) twice.

Therefore (|A|+|B|) exceeds (|A cup B|) by (|A cap B|), and consequently (|A cup B| = |A|+|B|-|A cap B|). This can be a useful equation.

Keeweb 1 11 9 kjv. Fact 3.6 (Inclusion-Exclusion Formula)

If A and B are finite sets, then (|A cup B| = |A|+|B|-|A cap B|).

Notice that the sets A, B and (A cap B) are all generally smaller than (A cup B), so Fact 3.6 has the potential of reducing the problem of determining (|A cup B|) to three simpler counting problems. It is called the inclusion-exclusion formula because elements in (A cap B) are included (twice) in (|A|+|B|), then excluded when (|A cap B|) is subtracted. Notice that if (A cap B = emptyset) , then we do in fact get (|A cup B| = |A| + |B|). (This is an instance of the addition principle!) Conversely, if (|A cup B|=|A|+|B|), then it must be that (A cap B = emptyset).

Example 3.17

A 3-card hand is dealt off of a standard 52-card deck. How many different such hands are there for which all three cards are red or all three cards are face cards?

Solution

Let A be the set of 3-card hands where all three cards are red (i.e., either ♥ or ♦). Let B be the set of 3-card hands in which all three cards are face cards (i.e., J, K or Q of any suit). These sets are illustrated below.

We seek the number of 3-card hands that are all red or all face cards, and this number is (|A cup B|). By Fact 3.6, (|A cup B|=|A|+|B|-|A cap B|). Let's examine (|A|), (|B|) and (|A cap B|) separately. Any hand in A is formed by selecting three 26 cards from the red cards in the deck, so (|A|) = ({26} choose {3}). Similarly, any hand in B is formed by selecting three cards from the 12 face cards in the deck, so (|A|) = ({12} choose {3}). Now think about (A cap B). It contains all the 3-card hands made up of cards that are red face cards.

The deck has only 6 red face cards, so (|A cap B|) = ({6} choose {3}).

Now we can answer our question. The number of 3-card hands that are all red or all face cards is (|A cup B| = |A|+|B|-|A cap B|) = ({26} choose {3}) + ({12} choose {3}) (-) ({6} choose {3}) (= 2600+220-20 =) 2800.

Example 3.18

A 3-card hand is dealt off of a standard 52-card deck. How many different such hands are there for which it is not the case that all 3 cards are red or all three cards are face cards?

Solution

We will use the subtraction principle combined with our answer to Example 3.17, above. The total number of 3-card hands is ({52} choose {3}) = (frac{52!}{3!(52−3)!} = frac{52!}{3!49!} = frac{52 cdot 51 cdot 50}{3!} = 26 cdot 17 cdot 50 = 22, 100). To get our answer, we must subtract from this the number of 3-card hands that are all red or all face cards, that is, we must subtract the answer from Example 3.17. Thus the answer to our question is (22, 100 − 2800 =) 19,300.

There is an analogue of Fact 3.6 that involves three sets. Consider three sets A, B and C, as represented in the following Venn Diagram.

Using the same kind of reasoning that resulted in Fact 3.6, you can convince yourself that

(|A cup B cup C|=|A|+|B|+|C|-|A cap B|-|A cap C|-|B cap C|+|A cap B cap C|).

Principle 3 7

There's probably not much harm in ignoring this one for now, but if you find this kind of thing intriguing you should definitely take a course in combinatorics. (Ask your instructor!)

Exercise

Exercise (PageIndex{1})

At a certain university 523 of the seniors are history majors or math majors (or both). There are 100 senior math majors, and 33 seniors are majoring in both history and math. How many seniors are majoring in history?

Exercise (PageIndex{2})

How many 4-digit positive integers are there for which there are no repeated digits, or for which there may be repeated digits, but all digits are odd?

Exercise (PageIndex{3})

How many 4-digit positive integers are there that are even or contain no 0's?

Exercise (PageIndex{4})

This problem involves lists made from the letters T, H, E, O, R, Y, with repetition allowed.

(a) How many 4-letter lists are there that don't begin with T, or don't end in Y?

(b) How many 4-letter lists are there in which the sequence of letters T, H, E appears consecutively (in that order)?

(c) Howmany6-letterlistsarethereinwhichthesequenceoflettersT, H, E appears consecutively (in that order)?

Principle 3 Prayer

Exercise (PageIndex{5})

How many 7-digit binary strings begin in 1 or end in 1 or have exactly four 1's?

Exercise (PageIndex{6})

Is the following statement true or false? Explain. If (A_{1} cap A_{2} cap A_{3} = emptyset), then (|A_{1} cup A_{2} cup A_{3}|= |A_{1}|+|A_{2}|+|A_{3}|).

Exercise (PageIndex{7})

Consider 4-card hands dealt off of a standard 52-card deck. How many hands are there for which all 4 cards are of the same suit or all 4 cards are red?

Exercise (PageIndex{8})

Consider 4-card hands dealt off of a standard 52-card deck. How many hands are there for which all 4 cards are of different suits or all 4 cards are red?

Exercise (PageIndex{9})

A 4-letter list is made from the letters L, I, S, T, E, D according to the following rule: Repetition is allowed, and the first two letters on the list are vowels or the list ends in D. How many such lists are possible?

Exercise (PageIndex{10})

How many 6-digit numbers are even or are divisible by 5?

Exercise (PageIndex{11})

How many 7-digit numbers are even or have exactly three digits equal to 0?

Exercise (PageIndex{12})

How many 5-digit numbers are there in which three of the digits are 7, or two of the digits are 2?

Exercise (PageIndex{13})

How many 8-digit binary strings end in 1 or have exactly four 1's?

Exercise (PageIndex{14})

How many 3-card hands (from a standard 52-card deck) have the property that it is not the case that all cards are black or all cards are of the same suit?

Exercise (PageIndex{15})

How many 10-digit binary strings begin in 1 or end in 1?





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