Hooper's paradox

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/hooper-s-paradox

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. How big is Hooper's paradox?32 square units
2. What is the paradox classification?Falsidical paradox
3. What is the underlying principle?Exploitation of visual perception through geometric dissection and rearrangement
4. Why does the rectangle look smaller?Tiny gaps between the pieces are so thin that our eyes think they are gone, making the rectangle appear to have less area.
5. How many pieces is the shape cut into?The shape is divided into four parts.

Falsidical Paradox: A deceptive argument that appears contradictory but arises from subtle errors in reasoning or perception.
Geometric Dissection: The process of cutting a geometric figure into pieces that can be rearranged to form another figure.
Perceptual Bias: A systematic tendency to perceive things in a particular way, which can lead to errors in judgment or interpretation.