Hidden Faces of the Cube
Introduction: I am investigating the number of hidden faces for other
cuboids made from cubes. I will use visual representation to display
my results in the form of graphs. I will collect my results in a
table. I will start to collect my information in my table starting
with one cube and building them up into rows and different sized
cuboids. At the end of my investigation I hope to have a formula
worked out, and also I hope to be able to find the number of hidden
faces on a cuboids made up from 30 cubes.
Collecting Data: I have drawn a table to record my results. In the
first column I have the number of cubes and in the second I have the
number of hidden faces. In my table I have found the hidden faces for
every one cube put down there is one hidden face on the bottom. And if
a cube is put is put next to another there are always two hidden faces
between them.
Number Of Cubes
Number Of Hidden Faces
[IMAGE]
1
[IMAGE][IMAGE]
4
[IMAGE][IMAGE][IMAGE]
7
[IMAGE][IMAGE][IMAGE][IMAGE]
10
[IMAGE][IMAGE][IMAGE][IMAGE][IMAGE]
13
[IMAGE][IMAGE][IMAGE][IMAGE][IMAGE][IMAGE]
16
[IMAGE][IMAGE][IMAGE][IMAGE][IMAGE][IMAGE][IMAGE]
19
What This Shows: My results show a pattern occurring. For every cube
that is added the number of hidden faces grows by three each time. I
my table the number of hidden faces are lade out in a sequence. This
will help me to find a formula so I can work out the number of hidden
faces without having to count them each time. To show how I know the
numbers are in sequence I will use my knowledge of methods of
difference.
1st 2nd 3rd 4th 5th 6th 7th
[IMAGE][IMAGE][IMAGE][IMAGE][IMAGE][IMAGE] 1 4 7 10 13 16 19
+3 +3 +3 +3 +3 +3
Number of hidden faces
[IMAGE]The Differences: In this sequence (using the number of hidden
faces from my table) the difference between them is +3.
On the second day of class, the Professor Judit Kerekes developed a short chart of the Xmania system and briefly explained how students would experience a number problem. Professor Kerekes invented letters to name the quantities such as “A” for one box, “B” for two boxes. “C” is for three boxes, “D” is for four boxes and “E” is for five boxes. This chart confused me because I wasn’t too familiar with this system. One thing that generated a lot of excitement for me was when she used huge foam blocks shaped as dice. A student threw two blocks across the room and identified the symbol “0”, “A”, “B”, “C”, “D”, and “E.” To everyone’s amazement, we had fun practicing the Xmania system and learned as each table took turns trying to work out problems.
Many people wonder why there should be exactly five Platonic solids, and whether there is one that has not been found yet. However, it is easy show that there must be five and that there cannot be more than five.
I know that there is one object on top of another object, even if it
The research our experiment was founded on was that carried out by Taylor and Faust (1952). They carried out an experiment on 105 student’s, which was designed in the method of the game ‘twenty questions’. The students were split into teams of one member, two members and four members. They were then told that the experimenter would keep an object in mind whether it is animal vegetable or mineral was also stated, and they were then allowed 20 questions and guesses to reveal the identity of the object. In there experiment they found that the group of two members performed better than the group of four members in terms of how many guesses and questions it took them and how long it took them to deduce the identity of the object. However Taylor and Faust found that the efficiency did not differ in any significant way.
Unfortunately, only a sizable fragment remains of the palace, and the original extent of the scores of rooms that have been recovered is unknown. Much can be extrapolated from these remaining bits of the structure, though, and like a puzzle, archeologist and architects have been able to piece together the scraps and come to fairly detailed conclusions.
the left of a pair of crystals that are a mirror image of each other.
So we can work out through this method that the volume of a box with
(add the number of bubbles for each trial of a light source and divide by 5)
how much there is, and numbers tell you how many there are. This is cause for
Pieces of a puzzle slowly fitting together, to reveal a picture. This is an accurate
-The Eiffel Tower is made out of many triangles some very small and some very big.
Everyone has ambitions, whether they are as small as walking a block each day or as big as becoming president, everyone has them. In the movie Hidden Figures based in 1961, one of the biggest problems is racism, people fighting in the streets or people getting angry at work because of this inequality, for Dorothy, Mary and Katherine, it is at work. Work for Dorothy is having the job of a supervisor and she does not get paid the same as a supervisor. Dorothy’s self interest does not stop her from doing what she wants. Dorothy’s self interest influences her choices by making her take risks for equality and for her survival at NASA like when she steals the book from the library. Or when Dorothy sneaks into the IBM room so she can make it work
Wall" appears on the surface to be simple and plain. However, a closer study will reveal
It is believed that the shape of the pyramid was an important religious statement. Some scholars believe that this is true while others still debate the possibilities. We can assume that the Egyptians were trying to symbolize the slanting rays of the sun. It is also believed that the sloping sides on the pyramid were intended to help the soul of the king climb to the sky and join the gods.
To do this I needed to use the software Microsoft Excel 2003 as it was easier to use than other software products. As well Microsoft Excel can perform more useful functions such as Absolute Cell Reference, Functions (MIN, MAX and AVERAGE),Conditional Formatting and many more. Each of these useful in a case such as this.