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@ -206,6 +206,7 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son |
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##### Algunos ejemplos |
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! *YOUR CHALLENGE* : An object (a painting), a physical system (a lensball), how many scenarios and optical systems? |
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! |
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! _Skill tested : understanding of physical situations_ |
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@ -214,7 +215,7 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son |
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! |
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! *Discovery time : 30 minutes*<br> |
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! *Resolution time : 10 minutes* |
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! |
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! <details markdown=1> |
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! <summary> |
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! I choose it |
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@ -234,48 +235,26 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son |
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! Images 2 (the smallest) and 3 |
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! |
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!  |
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! </detais> |
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! |
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! <details> |
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! <summary> |
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! I choose it |
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! </summary> |
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! A lensball is a simple physical system: a sphere of glass of refractive index $`n=1.5`$ and of radius $`R=5\;cm`$. |
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! <br> |
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! A ball lensball is placed in front of a painting. Depending on the position of the observer or the camera, |
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! the optical system (the sequence of simple optical elements crossed by light between the physical object |
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! and the observed image) that forms the image differs. |
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! <br> |
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! Observe the 3 images of the painting given by the lensball : |
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! <br> |
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! Image 1 |
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! <br> |
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!  |
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! <br> |
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! Images 2 (the smallest) and 3 |
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! <br> |
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!  |
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! <br> |
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! For each image of the painting, can you identify the optical system, then specify ` |
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! the characteristics of the various simple elements that constitute the system and their relative distances? |
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! <br> |
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! |
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! * _The resolution time is the typical expected time to be allocated to this problem if it was part of an examen for an optics certificate._ |
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! * _The discovery time is the expected time required to prepare this challenge if you don't have practice. But take as much time as you need._ |
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! |
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! <\details> |
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! <br> |
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! <details> |
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! <details markdown=1> |
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! <summary> |
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! Ready to answer M3P2 team questions for image 1? |
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! </summary> |
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! <br> |
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! <details> |
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! |
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! <details markdown=1> |
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! <summary> |
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! Where is the painting located? |
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! </summary> |
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! * The painting is located on the other side of the lens, in relation to you. |
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! </details> |
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! <br> |
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! <details> |
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! <details markdown=1> |
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! <summary> |
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! What is the optical system giving the image of the painting? |
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! </summary> |
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@ -283,8 +262,7 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son |
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! * The optical system is composed of two spherical refracting surfaces, centered on the same optical axis.<br> |
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! <br> |
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! </details> |
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! <br> |
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! <details> |
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! <details markdown=1> |
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! <summary> |
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! How do you characterize each of the single optical elements that make up this optical system, |
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! and their relative distances? |
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@ -303,83 +281,80 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son |
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! $DS2$ encountered by the light has the follwing characteristics :<br> |
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! $`\overline{S_2C_2}=-|R|=-5\;cm`$ , |
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! $`n_{ini}=1.5`$ and $`n_{fin}=1`$ |
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! <br> |
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! |
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! * Algebraic distance between $DS1$ and $DS2$ is : $`\overline{S_1S_2}=+10\;cm`$ |
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! <br> |
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! |
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! </details> |
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! <br> |
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! <details> |
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! <details markdown=1> |
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! <summary> |
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! If you had to determine the characteristics of the image (position, size), how |
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! would you handle the problem? |
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! </summary> |
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! <br> |
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! |
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! * $`DS1`$ gives an image $`B_1`$ of an object $`B`$. This image $`B_1`$ for $`DS1`$ |
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! becomes the object for $`DS2`$. $`DS2`$ gives an image $`B'1`$ of the object $`B_1`$ |
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! <br> |
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! |
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! </details> |
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! </details> |
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! <br> |
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! <details> |
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! <!--FOR IMAGES 2 & 3--> |
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! |
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! <details markdown=1> |
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! <summary> |
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! Ready to answer M3P2 team questions for images 2 and 3? |
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! </summary> |
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! <br> |
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! <details> |
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! |
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! <details markdown=1> |
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! <summary> |
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! Where is the painting located? |
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! </summary> |
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! <br> |
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! |
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! * The painting is located on the same side of the lens as you, behind you. |
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! <br> |
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! |
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! </details> |
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! <br> |
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! <details> |
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! <details markdown=1> |
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! <summary> |
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! <br> |
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! |
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! What are the two optical systems at the origin of the two images of the painting? And |
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! can you characterize each of the single optical elements (+ their relative distances) |
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! that make up each of these optical systems ? |
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! </summary> |
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! <br> |
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! |
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! * A first optical system $`OS1`$ is composed of a simple convexe spherical mirror |
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! (the object is reflected on the front face of the ball lensball). Keaping the optical |
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! axis positively oriented in the direction of the incident light propagation on the lensball, |
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! the algebraic value of the mirror radius is : $`\overline{SC}=+5\;c`$. |
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! <br> |
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! |
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! * The second optical system $`OS2`$ is composed of three simple optical elements :<br><br> |
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! 1) The light crosses a spherical refracting surface $`DS1`$ with characteristics : |
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! $`\overline{S_1C_1}=+|R|=+5\;cm`$ , $`n_{ini}=1`$ and $`n_{fin}=1.5`$. |
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! <br> |
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! |
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! 2) Then the light is reflected at the surface of the last lensball interface that |
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! acts like a spherical mirror of characteristics : $`\overline{S_2C_2}=-|R|=-5\;cm`$, |
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! $`n=1.5`$. |
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! <br> |
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! |
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! 3) Finally the light crosses back the first interface of the lensball that acts |
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! like a spherical refracting surface those characteristics are : |
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! $`\overline{S_3C_3}=+|R|=+5\;cm`$ , $`n_{ini}=1.5$ and $n_{fin}=1`$. |
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! <br> |
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! |
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! Relative algebraic distances between the different elements of $`OS2`$ are : |
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! <br> |
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! |
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! $`\overline{S_1S_2}=+10\;cm`$ and $`\overline{S_2S_3}=-10\;cm`$ |
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! <br> |
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! |
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! </details> |
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! <br> |
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! <details> |
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! <details markdown=1> |
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! <summary> |
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! Which image is associated with each of the optical systems? |
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! </summary> |
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! <br> |
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! |
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! * It is difficult to be 100% sure before having made the calculations. |
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! <br> |
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! |
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! </details> |
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! <br> |
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! <details> |
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! <details markdown=1> |
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! <summary> |
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! Why do we had to take the picture in the darkness, with only the painting |
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! illuminated behind the camera, to obtain images 2 and 3 ? |
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! </summary> |
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! <br> |
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! |
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! * At a refracting interface, part of the light incident power is refracted, |
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! and part is reflected. For transparent material like glass and for visible light, |
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! the part of the reflected power is small. If the room had been homogeneously |
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@ -389,6 +364,7 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son |
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! </details> |
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! </details> |
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! *YOUR CHALLENGE* : Looking at a cathedral through a lensball. Can you predict your observation? |
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! |
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! _Skill tested : to know how to carry out calculations_ |
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