High School Unraveling the Mysteries of Unsolved Geometry Problems

  • Thread starter Thread starter Einstein's Cat
  • Start date Start date
  • Tags Tags
    Geometry
Click For Summary
Unsolved geometry problems continue to intrigue mathematicians, with many conjectures remaining unproven despite extensive efforts. The Collatz conjecture is highlighted as a particularly challenging problem, illustrating the complexity of seemingly simple mathematical concepts. Participants express a mix of fascination and frustration when attempting to tackle these problems, often realizing the depth of difficulty involved. The discussion emphasizes the ongoing nature of mathematical exploration and the allure of solving these longstanding mysteries. Engaging with these unsolved problems fosters a deeper appreciation for the intricacies of geometry.
Einstein's Cat
Messages
182
Reaction score
2
What unsolved geometry problems are there?
 
Mathematics news on Phys.org
You know, when you read one of those conjectures, you think, "hey, why is this so hard to prove". After taking out your pencil and paper you then realize why. My favorite is the Collatz conjecture. Hail the almighty 1.

collatz_conjecture.png
 
  • Like
Likes PeroK

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

What is the most perplexing and difficult unsolved math problem?
  • · Replies 9 ·
Replies
9
Views
3K
High School Rigid Transformations and other topics -- help with Learning Geometry?
  • · Replies 4 ·
Replies
4
Views
1K
MHB How does rigid transformation and dilation help with learning Geometry?
  • · Replies 1 ·
Replies
1
Views
1K
High School Flattening Object with Computational Geometry
  • · Replies 1 ·
Replies
1
Views
1K
High School What would need to be possible to make a cube of circles?
  • · Replies 4 ·
Replies
4
Views
1K
High School What geometry theorem is used in this figure?
  • · Replies 38 ·
2
Replies
38
Views
4K
Graduate What are your insights on The Hardest Logic Puzzle Ever?
  • · Replies 2 ·
Replies
2
Views
3K
MHB Can You Solve This Geometry Problem with an Equation?
  • · Replies 3 ·
Replies
3
Views
1K
High School Scissor Blade Problem
  • · Replies 8 ·
Replies
8
Views
2K
High School Peeking at the answer of an unsolved problem.
  • · Replies 4 ·
Replies
4
Views
1K