Eleven is a number that’s used in a lot of different ways. It can mean eleven players on an association football team, or the eleven-sided convex uniform tilings of two-dimensional Euclidean space.
The Apollo 11 mission began on 16 July 1969 when Neil Armstrong, Buzz Aldrin and Michael Collins launched on a Saturn V rocket from Kennedy Space Center in Florida. They traveled to the Moon for three days and three nights, and returned safely to Earth.
During the mission, the astronauts performed several scientific experiments and deployed a laser retroreflector to help them make precise measurements. A seismometer was also installed to measure the quakes that take place on the Moon.
Before leaving, the astronauts placed a plaque commemorating the event on the lunar surface. There were goodwill messages from 73 countries written on a 1 1/2-inch silicon disk. An olive branch, which symbolizes peace, was also left on the moon.
On 21 July, the Apollo 11 astronauts performed a moonwalk. This was the first human landing on the Moon.
After a two-hour walk, they returned to the command module and docked. Armstrong and Aldrin were scheduled to take a four-hour nap between the first and second EVA.
Despite the warnings, they successfully performed the first lunar landing. While on the moon, the crew collected 21.6 kilograms of samples.
The lunar module (LM) had an ascent stage to bring the astronauts to the lunar orbit, and a descent stage to land on the Moon. The LM was jettisoned about four days later.
During the Apollo 11 mission, the astronauts conducted extensive photography of the lunar terrain. They also left a 1 1/2-inch silicon disk with miniaturized goodwill messages from 73 countries.
After the mission, the NASA Mobile Quarantine Facility (MOQF) was established in Houston, Texas. HS-4 helicopters from the USS Hornet were used to retrieve the crew and transport them back to the surface.
Eleven players on an association football team
One of the more popular sports is football, which was actually played around 200 CE in the Aztecs. There are two teams of 11 players each competing to score the most points. The game is played on a rectangular field with goalposts at each end. Typically, matches are played over a period of about an hour. However, knockout competitions require extra time. For instance, in the UK’s FA Cup, the quarter finals are usually played on Saturdays and Sundays.
Football aficionados will be interested to learn that the game has a myriad rules, regulations, and etiquette. Interestingly, it is not uncommon for a team to have two or more assistants on the sidelines. Among the rules is the rule that only the goalkeeper may handle the ball in the penalty area. The team is also required to make use of the so-called midfield lines, which entails having one defender and one attacker per line. This is done in a bid to minimize obtrusive tactics on the part of the opponents.
It is no wonder then that the fabled football is so popular that the FIFA tournament attracts more than 250 million participants from over 200 nations. The game has a storied history. One hypothesis suggests that football was born from the aforementioned anarchy of village sports. While the earliest forms of the game were played with a stick, the modern variant has adopted a more sophisticated ball. Some of the best examples of the sport can be found in the UK. To get a feel for the game, try heading out to your local football club or stadium. Alternatively, the best bet would be to join a league.
Eleven-sided polygons are not exactly common in the real world, but if you are lucky enough to get your hands on one you’ll be glad you did. This is particularly true if you have some free time to spare. Besides, you can’t really claim to be a polygon geek if you are constantly on the move. So, you might be best served by bringing along a compass or two and some old school pride of pimptie. After all, you are the one who is responsible for making sure you actually complete this task. If not, who knows?
In the end, you’ll be rewarded with a newfound appreciation of polygons and a few new friends to boot. While you are at it, why not let them have a peek at your work in progress? That’s the best kind of collaboration. You can also have a group brainstorm about which polygons merit whatnot. The result is an even more interesting classroom. Of course, if you are a teacher, you can always put a class to work figuring out the mysteries of polygons.
Eleven-sided convex uniform tilings in two-dimensional Euclidean space
The tessellations of the Euclidean plane, which are relevant to mathematics, crystallography, and aesthetics, comprise a number of regular tilings. These can be divided into three main categories, namely: triangular, edge-to-edge, and semiregular.
Triangular tiling produces three vertex types, whereas edge-to-edge tiling requires one. Edge-to-edge tiling can also have irregular faces that are not the same size. Semiregular tilings, on the other hand, have just one regular face.
In 1619, Johannes Kepler introduced eleven edge-to-edge tessellations of the Euclidean planar surface, made up of regular polygons. He also classified eight additional tilings as semiregular.
There are many nonconvex uniform tilings, which use star polygons. However, the resulting tilings cannot be mapped to the hyperbolic plane.
Michael Rao, who works at the Ecole Normale Superieure de Lyon, has a proof for the classification of convex polygons. It combines two approaches, namely, the classification of good sets and the coding of the proof.
The proof of the classification is based on a number of tilings that satisfies angle conditions. However, the coding of the proof is not as easy as it sounds.
The basic idea is that all the angles inside a triangle go to zero at its edge. This means that the plane is only mapped nonperiodically. If a tiling is mapped to the hyperbolic plane, it will be distorted.
In order to make a tiling nonperiodically, you must first subdivide it into segments. This can be done with a triangle or a square. Once the tiling is divided into segments, you can then generalize the tessellation to k-uniform tilings.
Since k-uniform tilings have a number of vertex types, they are systematized as a tiling family called Krotenheerdt tilings.
Toys for 11-year-old boys
Many kids are starting to get interested in electronics and gadgets. If you are looking for toys for an 11 year old boy, you will want to pick something that can help him learn more about how the world works.
An art box is a great present for an inquisitive 11 year old. It contains 125 colorful paper notes that are great for doodling and creating fun illustrations. The art box also includes a dual air-way pump to inflate balloons.
Another cool present is the National Parks and Landmarks Poster. This fun travel poster is a clever way to encourage your tween to explore the nation’s most beautiful sites.
If you want a fun gift that can be used both indoors and outdoors, the Remote Control Car is the perfect gift. It includes rechargeable batteries and an indoor/outdoor controller.
A similar device, the Waterproof Sports Action Camera, can record amazing movies and capture all the best moments in style. It’s also half the price of competing products, so you won’t have to break the bank.
One of the best gifts for an 11 year old boy is a LEGO Technic car. It’s cheap and durable, and can be used with the LEGO Technic Police Pursuit. With black rims and low profile tires, it can help stimulate fine motor skills.
A marbles on a grid is also a a great present. It’s fun to play and a great way to develop logic and critical thinking skills.
Video games are a popular choice with many tween boys. They can be great for practicing hand-eye coordination, and they also have plenty of stories to keep them entertained.
In addition to games, there are many other great toys for an 11 year old boy. If you are looking for something that will spark his imagination and make his day, look into toys like the Scratch Off Movie Poster or the ThinkFun Gravity Maze Marble Run Logic Game.