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Wrapping a Cube

This puzzle comes from a wonderful Russian site, where its solution is presented as a sequence of animations. (A later remark: through the efforts of Colm Mulcahy who approached David Singmaster an earlier reference has been found: Martin Gardner describes the puzzle at the end of Chapter 5 of his New Mathematical Diversions – a book from 1995. Colm Mulcahy later reported that the article was included into Gardner’s 1966 Third book of Mathematical Diversions from Scientific American and later added that the original column appeared in 1960.))

WrapCube1.jpg

Is it possible to wrap the cube with a 3×3 piece of paper below it?

Handling of the paper is subject to two conditions:

  1. The paper may be only cut or folded along the crease lines.
  2. The cutting should not cause pieces to separate.

Would you like to check? Here is the answer

 

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Star Wars land

Disney is planning something big to mark the conclusion of the current Star Wars trilogy. How big? The size of a theme park.

On a call with investors, Disney CEO Bob Iger on Tuesday revealed that the 14-acre Star Wars Land attraction at Walt Disney World in Orlando will open in 2019, the same year as Star Wars Episode IX, the final chapter in the current “Skywalker Saga” arc of the beloved space opera.

Construction started on the Hollywood Studios attraction last April, following its August 2015 announcement. Until Iger’s statement on Tuesday, Disney had remained quiet about the attraction — which will be paired with a similar one in Disneyland Anaheim — beyond the release of concept artwork last summer. While it’s still unconfirmed just what the attraction will include, a Disney Parks blog post promised “guests will get the opportunity to pilot the fastest hunk of junk in the galaxy” after climbing on board a full-size replica of the Millennium Falcon.

That wasn’t the only Star Wars information Iger dropped during Tuesday’s call; the exec also revealed that he’s already seen Star Wars: The Last Jedi ahead of its December release, telling investors that Rian Johnson’s follow-up to 2015’s Star Wars: The Force Awakens will be a great next installment to the Skywalker story.

Iger also teased the upcoming Avatar attraction, saying, “This is a very big land with unique design and architecture that really does make you feel like you’re in Pandora.”

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Hack that android phone

Your Android device’s Pattern Lock can be cracked within five attempts

The popular Pattern Lock system used to secure millions of Android phones can be cracked within just five attempts – and more complicated patterns are the easiest to crack, security experts reveal.

Pattern Lock is a security measure that protects devices, such as mobile phones or tablets, and which is preferred by many to PIN codes or text passwords. It is used by around 40 per cent of Android device owners.

In order to access a device’s functions and content, users must first draw a pattern on an on-screen grid of dots. If this matches the pattern set by the owner then the device can be used. However, users only have five attempts to get the pattern right before the device becomes locked.

New research from Lancaster University, Northwest University in China, and the University of Bath, which benefitted from funding from the Engineering and Physical Sciences Research Council (EPSRC), shows for the first time that attackers can crack Pattern Lock reliably within five attempts by using video and computer vision algorithm software.

By covertly videoing the owner drawing their Pattern Lock shape to unlock their device, while enjoying a coffee in a busy café for example, the attacker, who is pretending to play with their phone, can then use software to quickly track the owner’s fingertip movements relative to the position of the device. Within seconds the algorithm produces a small number of candidate patterns to access the Android phone or tablet.

The attack works even without the video footage being able to see any of the on-screen content, and regardless of the size of the screen. Results are accurate on video recorded on a mobile phone from up to two and a half metres away – and so attacks are more covert than shoulder-surfing. It also works reliably with footage recorded on a digital SLR camera at distances up to nine metres away.

Researchers evaluated the attack using 120 unique patterns collected from independent users. They were able to crack more than 95 per cent of patterns within five attempts.

Complex patterns, which use more lines between dots, are used by many to make it harder for observers to replicate. However, researchers found that these complex shapes were easier to crack because they help the fingertip algorithm to narrow down the possible options.

During tests, researchers were able to crack all but one of the patterns categorised as complex within the first attempt. They were able to successfully crack 87.5 per cent of median complex patterns and 60 per cent of simple patterns with the first attempt.

Researchers believe this form of attack would enable thieves to access phones after pinching them to obtain , or would allow malware to be quickly installed on devices while their owners were distracted.

In addition, given people often use the same pattern across multiple devices a pattern obtained from one device could be used to access a second device.

Dr Zheng Wang, principle investigator and co-author of the paper, and Lecturer at Lancaster University, said: “Pattern Lock is a very popular protection method for Android Devices. As well as for locking their devices, people tend to use complex patterns for important financial transactions such as online banking and shopping because they believe it is a secure system. However, our findings suggest that using Pattern Lock to protect sensitive information could actually be very risky.”

“Contrary to many people’s perception that more complex patterns give better protection, this attack actually makes more  easier to crack and so they may be more secure using shorter, simpler patterns,” Guixin Ye, the leading student author from Northwest University, added.

The researchers have proposed suggested countermeasures to prevent this attack. They include device users fully covering fingers when drawing the pattern; or pattern lock designers mixing pattern locking with other activities such as entering a sentence using Swype-like methods; in addition having the screen colour and brightness change dynamically could confuse the recording camera.

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Where cabin crew sleep

Long-haul journeys can be exhausting for hardworking flight attendants as well as passengers, but where do crew go to unwind and escape demanding flyers?

Many Boeing 777 and 787 planes feature a secret staircase that leads to a tiny set of windowless bedrooms known as Crew Rest Compartments (CRCs).

Fascinating images provide a rare glimpse inside these confined areas, which few people have a chance to witness for themselves.

This image of a Boeing plane shows flight attendants stretched out in the hidden bedroom area, which many passengers don’t get to see

A small staircase can be seen leading to a compartment of sleeping spaces for long-haul crew members. These bedrooms are located in the rear of this Boeing 787 Dreamliner, and there are another two further sections at the front of the plane too

Sleep tight: The cosy  sleeping quarters on the Boeing 787 Dreamliner  feature cushions, pillows and curtains to offer a touch of privacy

Sleep tight: The cosy sleeping quarters on the Boeing 787 Dreamliner  feature cushions, pillows and curtains to offer a touch of privacy

Enter the cabins where aircraft crew sleep during long journeys

Most flyers are unlikely to have spotted the area before, as its narrow stairs are concealed behind a door, which usually requires a code or key to access it, and sleeping areas for crew are discreetly hidden above their heads.

The size and position of these spaces varies depending on each aircraft model, but they are typically nestled away behind the cockpit area, located above first class.

One image of an American Airline’s Boeing 777 300 even shows staff members entering the relaxation areas through a hatch disguised as an overhead bin.

The accommodation is cramped and features an average of eight beds, depending on the airline.

On Boeing 777s, there are between six to ten beds, each containing storage space for flight attendants’ belongings during the journey.

This model of plane also includes a separate area for pilots, with two beds, two business-class seats and, in some airlines, a bathroom area with a sink or lavatory.

WHAT IT’S LIKE TO SLEEP IN THE CABIN CREW BEDROOM ACCORDING TO A BRITISH AIRWAYS FLIGHT ATTENDANT

A British Airways flight attendant revealed to MailOnline Travel: ‘On the Boeing 747s it is all bunk beds and on the 777 it feels like you are in a coffin.

‘They are cramped but you can make it comfortable as you get a blanket and a pillow.

‘I always take my own pyjamas and I make a little bed up. I sometimes try to take pillows and blankets from business class if they aren’t in use.

‘It’s very basic, some have TVs but they are tiny, smaller than iPad minis.’

On the Boeing 777, there is a separate area for pilots, with two beds, two business-class seats and, on some airlines, a bathroom area with a sink or lavatory

As this graphic shows, some of the sleeping compartments are situated at the front of the plane above the first class section

As this graphic shows, some of the sleeping compartments are situated at the front of the plane above the first class section

Staff are pictured chatting and relaxing with magazines and refreshments inside the Crew Rest Compartments on a Boeing 777

Some bays come with entertainment systems, a blanket, pillows and on occasion, pyjamas, with each bed separated by draped heavy curtains which muffle out the sounds of other crew.

Different airlines have opted for varying bed layouts, ranging from Malaysian Air A380s, which has beds stacked on top of each other, to American Airlines Boeing 773s, which has beds sectioned-off from a central aisle.

A British Airways flight attendant revealed to MailOnline Travel: ‘On the Boeing 747s it is all bunk beds and on the 777 it feels like you are in a coffin.

‘They are cramped but you can make it comfortable as you get a blanket and a pillow.

‘I always take my own pyjamas and I make a little bed up. I sometimes try to take pillows and blankets from business class if they aren’t in use.

‘It’s very basic, some have TVs but they are tiny, smaller than iPad minis.’

The crew accommodation is cramped and features an average of eight beds, depending on the airline.This image shows the layout inside a Boeing 787 Dreamliner

The crew accommodation is cramped and features an average of eight beds, depending on the airline.This image shows the layout inside a Boeing 787 Dreamliner

Tight surroundings: Layouts vary depending on each model, but the sleeping areas are typically nestled away behind the cockpit area

Tight surroundings: Layouts vary depending on each model, but the sleeping areas are typically nestled away behind the cockpit area

There is a strict policy of one staff member to each bunk, which usually stretches 6ft long by 2.5ft wide.

Dan Air, the flight attendant behind Confessions of a Trolley Dolley, which has thousands of fans on Facebook and Twitter, told MailOnline Travel: ‘Crew rest areas on certain aircraft are a lot better than they used to be.

‘They are very small and very cramped and yes can be very claustrophobic. It’s not nice being in the tiny, confined space during severe turbulence, it can get very unnerving.

‘In terms of what staff do there, well that would be telling, but I’m sure you can imagine that a lot more than sleeping often goes on here.

‘We try to make them as comfortable as possible for us, bringing our own pyjamas, blankets and teddies to try and help us get some sleep, but to be honest it’s often very difficult to sleep.’

Cathay Pacific ‘A Day in The Life of a Flight Attendant’