MATHS AND DESCRIBING PICTURES

AN EXAMPLE

In the middle of the picture we can see a circular table with a green circle on it. There is a rectangular picture on the wall.
The lamp is made of a hexagonal prism and an hexagonal pyramid.
What about angles?
 The hands of the clock form an acute angle, if we observe the chairs we have a right angle between the back and the seat, and an obtuse one between the back and the legs of the dog on the left .
The back of the chairs are curves.
We can observe  parallel lines and perpendicular lines too.
The glasses are cylinders.
I can't see neither spheres nor squares, can you?
What is the probability of getting an ace of clubs from the deck?

NOW IT´S YOUR TURN

MONA LISA

The Golden Ratio appears in this painting , and as you know has to do with the Fibonacci sequence. Betwwen the eyes and the nose we can see a ninety degree angle ( a right angle). The eyes seems circles and the hair a parabola. (A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side) 


Miguel Ángel Fernández y Oscar Herrera 3º B.

 

 THE LIBERTY LEADING THE PEOPLE
In the picture there are mathematical shapes. We can see an sphere in the tit, three rectangles in the boards and in the flag. The legs of the people are straight lines. The riffle is like a cylinder. The builidings are prsims with different heights. Between the head and the arm of the woman we can see an equilateral triangle.

By Marta Castellano, María Rodríguez, Resu Padilla y Paula Baena 3ºA

 THE LAST SUPPER

    In this picture we can see rectangular windows, and the table is rectangular too. There are 12 disciples and Jesus. in the ceiling there are parallel rafterr. The dishes are circular and the glasses are cylinders. The bread has an ellipse form. The windows and the doors are parallel, they describe a translation.     

By Juan Fernández Medina, Iván Bagán Ortega, Ana Belén Romero Fernández, Alberto Romero Fernández. 3ºA

                     

        

In Geometry, "Translation" simply means Moving ...

... without rotating, resizing or anything else, just moving.

To Translate a shape:

Every point of the shape must move: the same distance in the same direction.

      THE LADY

This picture has a lot of geometric forms. For example: the mirror is a square, the lamp is a circle, at the chair we can observe two parallel lines, and the vase and the sink are surfaces of revolution.

In this picture we can see the trees as paralell segments. In the water you can see the reflection  of the trees, it is a symmetry with an horizontal axis.

How many trees are there in the picture? Where is there a triangle? What is the angle between the tres and the symmetrical axis?

By Jose Ángel Ibáñez, Antonio Jesús García, Patricia Díaz and Alba Mª Vilchez 3º A.

ARTS OF THE WEST

This picture was paitned by Thomas Benton. In the picture we can see a lot of people. In the foreground there are two men who are playing with rectangular cards. One of these men is sitting in a chair with rectangular prisms. In the middle we can see a cylindrical glass and next to them another one. In the background there is a house with a triangular roof, rectangular columns and a trapezium. The men are shooting and loading guns; which are cylindrical.

In the rest of the picture we can see a lot of abstract forms, like the hats.

 

In the fence we can observe parallel and perpendicualr lines. There are circles and curved lines. Her mouth is an ellpise. We can see different colours and different shapes. There are triangles and rectangles. We can the hands as curved lines.
..............
In the picture, there are some umbrellas, they are hemispherical shapes. The buildings are rectangular, the colours reflection on the floor are isosceles triangles. The spaces between the legs are rhombus. The shadows are rectangles and  people are like intersecting lines.

By Miguel Ángel Fernández, Mariluz, Ignacio y Ainoa

The epic forest's road

The trees and the mountains have got triangular form. The frame is rectangular. At the road, we can see a right angle. And we can see the trees as a sequence. The trunks are cylinders. There are thirty-six stones and fourteen trees. How many diffetent animals can we observe an the forest?
By Jaime Casas and Luis Castro.
THE DANCE OF FILE


In the midle of the picture we can see long irreguar figures. At the back there is a sphere. The water in the fountain has a cylindrical shape.
The sky makes a horizontal line and the sea is a plane.
People positions form a pentagon.
The picture's compostion is horizontal. People's head are spheres, and some eyes, too.
On the left we can apreciate some flowers wich have a cylindrical stem. The flowers are irregular shapes.
Can you see any square? Can you see any surface of revolution?

Mathematical definitions:

A plane is a surface generated by a straight line moving at a constant velocity with respecto to a fixed points.

By Maria Ontiveros, Ivan Navarro, Elsa Orantes