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RUBIK'S CUBE

Rubik's Cube (or magic cube, as it is known in some countries) is a mechanical puzzle invented by the sculptor and professor of architecture Ernö Rubik in 1974. It is a popular puzzle game whose faces are divided into squares of the same solid color each, which can be moved. The object is to disarm the initial configuration in order and reassembly.
It is estimated that more than 100 million Rubik's Cubes and imitations have been resolved over world. The cube celebrated its 25th anniversary in 2005 as a special edition of it was released in which the white face was replaced by reflecting on the reading "Rubik's Cube 1980-2005.
characteristic in the cube, each face is covered by nine faces of a solid color. When it is determined each face is the same solid color. However, the puzzle comes in four versions: the Pocket Cube 2x2x2, 3x3x3 the standard Rubik's Cube, the 4x4x4 Rubik's Revenge 5x5x5 and Professor Cube.

HISTORY OF THE CUBE

In March 1970 , Larry Nichols invented a 2x2x2 puzzle (similar to the known cubes Rubik's) and called "Puzzle with Pieces Rotatable in Groups". Nichols toy is held using magnets.

On 9 April 1970 , Frank Fox was presented to patent its "3x3x3 ball."
Ernö Rubik invented his "Magic Cube" in 1974. The first products of this invention went on sale in 1977 in toy stores Budapest. The Magic Cube joined by plastic parts assembled together, which were cheaper to produce than the magnets in Nichols. In September 1979 made a dealing with Ideal Toys to bring the Magic Cube to the West, and the toy first came to the toy out of Hungary in February 1980.
After his international breakthrough progress in toy bucket Western paused so that the toy could be adapted to Western standards of safety and packaging. A bucket was lighter and Ideal Toys decided to rename the " The Gordian knot" and "Inca Gold" were considered but the company finally decided on "Rubik's Cube" and the first delivery was exported from Hungary in May 1980 . Because of the scarcity Product produced many cheaper imitations. Nichols
assigned his patent to his employer company, "Moleculon Research Corp., which sued the Company Ideal Toys in 1982 . In 1984 the Ideal lost the patent infringement suit and appealed. In 1986 the appeals court upheld the 2x2x2 Rubik's Pocket Cube infringed Nichols's patent, but reversed the trial on the 3x3x3 Rubik's Cube. Recently Inventor
Greek Panagiotis Verdes patented a method to create buckets beyond the 5x5x5 to 11x11x11. His designs, which include improved mechanisms for the 3x3x3, 4x4x4 and 5x5x5 are suitable for speedcubing . Until April 4, 2008, these designs were not widely available although there are videos of prototypes up to 7x7x7 and solutions. It was announced that these cubes would be marketed in September 2008 through the brand "VCube."

RECORDS
New World Record, last July 13, Dutchman Erik Akkersdijk broke the world record in the Rubik's Cube establishing a new brand of 7.08 seconds in Prague during the Czech Open .

The previous record was held by Yu Nakajima with a mark of 8.72.

the record back and remain in this mode beaten in Murcia, where he set the previous record Nakajima and where they got off the first 10 seconds.

Another record, not in the same way but the more amazing, is that of David Calvo has not only surpassed the previous Guinness record (42 Rubik's cubes in one hour armed), but that has more than quadrupled, resulting 185 cubes resolve that if the accounts do not fail me, equivalent to 19.45 seconds per cube.

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WORLDS polyhedron (webquest)

INTRODUCTION

"Do not enter here who does not know geometry"

This sentence could read above the entrance to the Academy of Plato (fourth century BC) where they met to discuss problems of philosophy, logic, politics, art, etc. and gives us an idea of \u200b\u200bthe importance of old has been granted to the knowledge of geometry.

The Italian astronomer and physicist Galileo Galilei (1564-1642) referring to the Universe wrote: "This great book that continually We have opened the eyes can not be understood without first learning to understand the language and know which characters are written. It is written in mathematical language and the characters are triangles, circles and other geometric figures . "

One of the most famous theorems applied to the polyhedra is owed to a Swiss mathematician named Leonard Euler , which in 1750 published his theorem on polyhedra, in which indicates the ratio between the number of faces, edges and vertices a simple polyhedron (no holes) either: the number of faces (C) plus the number of vertices (V) equals the number of edges (A) + 2.

C + V = A +2

Why there are only five regular polyhedra? First
to be defined is what a regular polyhedron. "To those polyhedra (volumetric figures formed by polygonal faces) in which all faces are the same regular polygon (triangle, square, pentagon, ...). Given this definition, there are only five possibilities. Why? The answer lies in the construction of the vertices.
In a corner of a regular polyhedron converge a fixed number of polygonal faces and these must be at least three because if they are only two, instead of a vertex which is an edge originates. But there are also faces a maximum of possible, but this number depends on the polygon.

can only make buildings in which they converge at the vertex 3, 4 or 5 equilateral triangles (tetrahedron, octahedron and icosahedron), 3 square (cube) or 3 pentagons (dodecahedron). And if anyone thinks that the design tricks you can make an account to confirm what was said. To be able to make the vertex, the sum of the interior angles of the polyhedra that flow must be less than 360 ° so we left a small gap to unite and to lift the corner. If you do account, you'll see that the only cases in which it occurs are the five regular polyhedra.

In this unit you will begin to study some geometric ubiquitous in nature and works of humans: the polyhedra.

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We further study of the most common and simple (regular polyhedra) and end up with the bodies of revolution (cylinder, cone and sphere). I will well remember regular polygons and aplicaciones.Esta your work unit will need manual for which we can use cardboard, scissors, glue, sheets of embossed sites, sticks, clay, porous plastic (porespan), etc, but good that I leave to your choice.

A solid is anything that takes place in space. In geometry we study their shapes and sizes (solid or spatial geometry.) Geometric bodies can be of two kinds:

- Incorporating flat faces (polyhedra)
- Having some or all of their curved faces (BODIES ROUND).

With this activity the aim is that you learn in a more dynamic and participatory common polyhedral figures, you join a group, you acquire new knowledge about demostréis polyhedra and also of your wit, but also has your stability.

This activity not only be worth it to know you better polyhedra more entertaining for the exam but also all activities conducted throughout the course will count towards the final grade.

TASK

The presentation of the activities performed by each group shall be in two ways:

1. Be posted on this blog the activity undertaken by each group in Word format, that document will be shown a photograph of each of the figures made, these documents shall be suspended a week before the date prior to exposure.

2. The groups will present the work done in class and it may be used if it aids required by the center offers, for example the projector if they want to make your presentation via Power Point. In this exhibition Debaran to all members of group fairly.

PROCESS

For the successful implementation of the activity should follow the following guidelines:

1. The groups will consist of 5 alumn @ s , these groups will be formed randomly, unless the teacher wish to the modification.

2. Polyhedral figures are compiled from the five regular polyhedra and round bodies seen in class, in each figure should be reflected each of the most significant parts of it. This will require manual work, for which we can use cardboard, scissors, glue, sheets of embossed sites, sticks, clay, porous plastic (porespan), etc, but good that I leave to your choice.

3. Each figure must be accompanied by a sign with your name.

4. Activity also consist of a theoretical part is to write everything you know and have seen in relation to each class of polyhedral figures: description of each polyhedron, parts (indicated in each figure), formulas for volume, area, etc ...

5. Each group will conduct a personal assessment of the activity: difficulties, assessment of group work, usefulness of the activity, media used, etc ...

RESOURCES

To carry out the activity as well as your textbook, you will find interesting and useful information on the following websites:

http://www . kalipedia.com /

http://www.korthalsaltes.com/es/

http://www.matematicas.net/

ASSESSMENT

For the evaluation of the activity will take into account the following aspects:

1. Development of the activity is measured as the share of manual work as the theoretical.

2. Exposure of the activity will take into account the activity posted on this blog and the presentation made in class.

3. Participation of all group members.

All these involve the same assessment criteria for the final of the activity.

CONCLUSION

At the end of the exposures of each activity of the various groups will brainstorm, evaluating the positive and negative activity in order to improve subsequent activities and get to learn more entertaining and cale more knowledge you with these tasks.

Monument Dusseldorf. Eduardo Chillida
1971 (Germany, Dusseldorf, Thyssen Gebäude)

Quote of the Day:

"Nothing happen in the world without that stands out, somehow, the presence of a maximum or minimum rule "Leonard Euler

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NOT ONLY ARE SUFFERING

Situations more than a century ago served as impetus for new mathematical discoveries and developments currently displayed on hobbies.

"A mathematician is worth a good hobby, and contributes more to mathematics than a dozen articles mediocre". John Edensor Littlewood

COLOR MAP

One such situation is that of color maps with certain restrictions.
Coloring a map with the minimum number of colors so that countries with a boundary line (and not just a point) do not have that color was an issue first raised by a student at Edinburgh , Francis Guthrie in 1852. From it came to Augustus Morgan of which he could not solve the problem, but extended the challenge from other mathematicians. The conjecture that four colors were sufficient became famous when Arthur Cayley in 1878 proposed it to the Mathematical Society of London, one of the most important mathematical societies in the world at that time, as a problem to solve.
In 1879, the English jurist and mathematician Sir Alfred Kempe published he believed to be a demonstration, but years later found an error in his proof.
not an easy problem. In the late nineteenth showed that five colors suffice and that three colors are sufficient to color any map. In 1950 it was known that if the map was less than 36 countries can be colored with four colors, and in 1976, with the help of computers, concluded that four colors suffice.

tested with the mainland.

HOURGLASS
have two hourglasses to measure respectively 3 minutes and 5 minutes. These watches do not have as intermediate bar, ie they can only measure the time between the fall of the first grain of sand and the last. Using the clocks we measure exactly four minutes. How can we do?

THE MYSTERY FILES OF THE 7
A fichologo place 7 pieces and draw a circle that contains 4 tabs. You draw two circles so that each tab is separate. Note for perfectionists: it is not making perfect circles, but to round out the chips.

Quote of the Day:
"If time is the most expensive, the loss of time is the greatest of the extravagance" Benjamí n Frankl in

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numbers and more numbers

Joint Z

Make the right choice

1. The opposite of (-6) is:

a) - 6

b) 1

c) 6

d) 0

2. in the day temperature is -3 º C and as low as 3 º C overnight. What is the temperature at night?

a) -6 º C

b) 0 º C

c) 6 º C

d) 9 º C

3. Which of the following sets of numbers are ordered from largest to smallest?

a) -1, -2, 4, 7, 9, 13

b) 13, 7, 5, -2, -6, -8

c) 14, 13, 12, 0, -7, -5, -8

d) 1, 3, 6, 0, -1, -5, -7

4. Which following temperatures less than -5 º C?

a) -6 º C

b) 0 º C

c) -1 º C

d) -4 º C

5. The value of the expression 6 + (-8) is:

a) -14

b) 14

c) -2

d) 2

6. Which of the following statements is true?

a) -2> 7

b) 2> 8

c) 0> 8

d) -1> -8

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How can evangelize through the various sub-sectors? Back to School

The next reading, refers to the evangelization of the curriculum through the different segments. I just hope to apply it to my sub, "mathematics" and achieve what we set ourselves as a school.
To make education a
evangelization must be considered within the overall context of the school, understood "as a comprehensive training through systematic and critical assimilation of culture, it (the school) is truly a privileged place comprehensive training, through a living and vital to the cultural heritage. "
In this sense, Catholic education must inspire and inform the transmission of culture with a Christ-centered worldview
; this worldview is which should unify the scientific attitudes, skills and humanistic to make an appointment at an educational establishment, it lies in the specificity of the Catholic school and the possibility of turning it into an environment conducive to the work of evangelization.
The various disciplines and subjects will have to look under this integrated approach, bearing in mind that each has its own methods and content can not be reduced to the realm of faith, the teacher must respect their autonomy, but because through they are performing a work of evangelization, must consider it as a teaching that the spirit and heart of the student to adhere to Christ, "All the fullness of human nature rich with culture
The first work to be undertaken is an evangelization
of educators to convey this Christ-centered worldview. Until this step demos educational work will be dispersed and sectorized
and our students receive elements of math, history, chemistry, biology or literature ... in a group fails to unify disintegrated reality and therefore offers no guarantee formation of the personality.
In short, look for evangelistic opportunities
for each subject, recalling that "man, when delivered the different disciplines of philosophy, history, mathematics and natural sciences, and is dedicated to the arts,
can contribute significantly to the human family to rise to the highest thoughts of truth, goodness and beauty and the universal value judgments, and thus be better
lit by the wonderful wisdom, which always was in God, all things with Him, and finding their delight in being among the sons of men "

hope

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soon add new material to this blog and start the new academic year 2008, happy return to school.