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Using principles of origami,medical engineers have re-imagined the traditional stent graft,a tube used to open and support damaged blood vessels.Through tessellation, the rigid tubular structure folds into a compact sheet about half its expanded size.Origami principles have been used in airbags, solar arrays,self-folding robots, and even DNA nanostructures—who knows what possibilities will unfold next.

Part of the trick is to use the process of elimination and lots of trial and error to hone in on the right pieces,and the more logic puzzles you solve,the better your intuition will be for when and where there's enough information to make your deductions.And did young Einstein really write this puzzle?Probably not. There's no evidence he did,and some of the brands mentioned are too recent.But the logic here is not so different from what you'd use to solve equations with multiple variables,even those describing the nature of the universe.

Clue ten tells you that the cat owner lives next to the Blend-smoking Dane,putting him in the first house.Now with only one spot left on the grid,you know that the German in the green-walled house must be the culprit.You and the police burst into the house,catching the thief fish-handed.While that explanation was straightforward,solving puzzles like this often involves false starts and dead ends

And since this leaves only the second house without a drink,the tea-drinking Dane must live there.The fourth house is now the only one missing a nationality and a cigar brand,so the Prince-smoking German from clue thirteen must live there.Through elimination, you can conclude that the Brit smokes Pall Mall and the Swede lives in the fifth house,while clue six and clue two tell you that these two have a bird and a dog, respectively.

The next step is to figure out what the Norwegian in the first house drinks.It can't be tea, clue three tells you that's the Dane.As per clue twelve, it can't be root beer since that person smokes Bluemaster,and since you already assigned milk and coffee,it must be water.From clue fifteen,you know that the Norwegian's neighbor,who can only be in the second house,smokes Blends.Now that the only spot in the grid without a cigar and a drink is in the fifth column,that must be the home of the person in clue twelve.

The only place left for the green-walled house with the coffee drinker is the fourth spot,meaning the white-walled house is the fifth.Clue one gives you a nationality and a color.Since the only column missing both these values is the center one,this must be the Brit's red-walled home.Now that the only unassigned wall color is yellow,this must be applied to the first house,where clue seven says the Dunhill smoker lives.And clue eleven tells you that the owner of the horse is next door,which can only be the second house.

Immediately, you also realize that since the Norwegian is at the end of the street,there's only one house next to him,which must be the one with the blue walls in clue fourteen.Clue five says the green-walled house's owner drinks coffee.It can't be the center house since you already know its owner drinks milk,but it also can't be the second house,which you know has blue walls.And since clue four says the green-walled house must be directly to the left of the white-walled one,it can't be the first or fifth house either.

After a few hours of expert sleuthing,you gather some clues.It may look like a lot of information,but there's a clear logical path to the solution.Solving the puzzle will be a lot like Sudoku,so you may find it helpful to organize your information in a grid, like this.Pause the video on the following screen to examine your clues and solve the riddle.Answer in: 3 2 1 To start, you fill in the information from clues eight and nine.

But they can't search all the houses at once,and if they pick the wrong one,the thief will know they're on his trail.It's up to you, the city's best detective,to solve the case.When you arrive on the scene,the police tell you what they know.One:each house's owner is of a different nationality,drinks a different beverage,and smokes a different type of cigar.Two:each house's interior walls are painted a different color.Three:each house contains a different animal,one of which is the fish.

Before he turned physics upside down,a young Albert Einstein supposedly showed off his genius by devising a complex riddle involving this list of clues.Can you resist tackling a brain teaser written by one of the smartest people in history?Let's give it a shot.The world's rarest fish has been stolen from the city aquarium.The police have followed the scent to a street with five identical looking houses.

If we can duplicate the flower’s crease pattern and connect each of them in such a way that all four laws are satisfied,we can create a tessellation, or a repeating pattern of shapes that covers a plane without any gaps or overlaps.The ability to fold a large surface into a compact shape has applications from the vastness of space to the microscopic world of our cells.

Take this crease pattern by origami artist Robert J. Lang.The crease pattern allocates areas for a creature's legs,tail, and other appendages.When we fold the crease pattern into this flat base,each of these allocated areas becomes a separate flap.By narrowing, bending, and sculpting these flaps,the 2D base becomes a 3D scorpion.Now, what if we wanted to fold 7 of these flowers from the same sheet of paper?

If we add a crease and number the new angles at this vertex,the even and odd angles no longer add up to 180 degrees,and the model doesn’t fold flat.Finally,a layer cannot penetrate a fold.A 2D, flat-foldable base is often an abstract representation of a final 3D shape.Understanding the relationship between crease patterns, 2D bases,and the final 3D form allows origami artiststo design incredibly complex shapes.

If we add a mountain fold at this vertex,there are three valleys and two mountains.If it’s a valley, there are four valleys and one mountain.Either way, the model doesn't fall flat.The third rule is that if we number all the angles at an interior vertex moving clockwise or counterclockwise,the even-numbered angles must add up to 180 degrees,as must the odd-numbered angles.Looking closer at the folds, we can see why.

First, the crease pattern must be two-colorable—meaning the areas between creases can be filled with two colors so that areas of the same color never touch.Add another crease here,and the crease pattern no longer displays two-colorability.Second, the number of mountain and valley folds at any interior vertex must differ by exactly two—like the three valley folds and one mountain fold that meet here.Here’s a closer look at what happens when we make the falls at this vertex.

Though most origami models are three dimensional,their crease patterns are usually designed to fold flat without introducing any new creases or cutting the paper.The mathematical rules behind flat-foldable crease patterns are much simpler than those behind 3D crease patterns—it’s easier to create an abstract 2D design and then shape it into a 3D form.There are four rules that any flat-foldable crease pattern must obey.

In origami, the same simple concepts yield everything from a paper crane with about 20 steps,to this dragon with over 1,000 steps,to a starshade.A single, traditionally square sheet of paper can be transformed into almost any shape, purely by folding.Unfold that sheet,and there’s a pattern of lines,each of which represents a concave valley fold or a convex mountain fold.Origami artists arrange these folds to create crease patterns,which serve as blueprints for their designs.

As the space telescope prepares to snap a photo,the light of the nearby star blocks its view.But the telescope has a trick up its sleeve:a massive shield to block the glare.This starshade has a diameter of about 35 meters—that folds down to just under 2.5 meters,small enough to carry on the end of a rocket.Its compact design is based on an ancient art form.Origami, which literally translates to “folding paper,”is a Japanese practice dating back to at least the 17th century.

Every year, the world uses 35 billion barrels of oil.This massive scale of fossil fuel dependence pollutes the Earth and it won't last forever.Scientists estimate that we've consumed about 40% of the world's oil.According to present estimates,at this rate, we'll run out of oil and gas in 50 years or so,and in about a century for coal.On the flip side, we have abundant sun, water, and wind.These are renewable energy sources,meaning that we won't use them up over time.