Interestingly, this is one of the few problems in geometry that do not have any defined solution. It was invented in 1999 by a phenomenal mathematician and many variations of the problem have emerged since then. Do you think you have what it takes to solve this problem? Take this quiz to ready yourself first.
Pythagoras
Avogadro
Blaschke
Venn
Rate this question:
The problem asks for the region of smallest area that can accommodate every plane curve of length.
It asks whether every problem whose solution can be quickly verified (technically, verified in polynomial time) can also be solved quickly (again, in polynomial time).
Providing grids, group theory that is used to describe ideas of when two grids are equivalent, and computational complexity with regards to solving problems.
A mathematical problem that involves a hexagonal lattice.
Rate this question:
It means that the curve may be rotated and translated to fit inside the region.
The existence of a solution follows from the Blaschke selection theorem.
It is not trivial to determine whether a given shape forms a solution.
It is not completely trivial that a solution exists.
Rate this question:
1965
1966
1967
1968
1969
Rate this question:
Logic
Mathematical physics
Calculus and analysis
Geometry and topology
Dynamical systems and differential equations
Rate this question:
Using a min-max strategy for area of a convex set containing a segment, a triangle and a rectangle to show a lower bound of 0.232239 for a convex cover
A possible solution has the shape of a rhombus with vertex angles of 60 and 120 degrees (π/3 and 2π/3 radians) and with a long diagonal of unit length
The problem asks for the region of smallest area that can accommodate every plane curve of length 1
The problem asks for the region of highest area that can accommodate every plane curve of length 1
Rate this question:
Panraksa, Wetzel, Wichiramala
Gerriets, Poole, Wetzel
Leo Moser, Wichiramala, Panraksa
Blaschke, Panraksa, Wetzel
Rate this question:
Rectangles
Squares
Rhombi
Circles
Rate this question:
This means that any solution region must have area at least (0.43893)/2 _> 0.21946.
The area of a solution region to the problem lies between 0.21946 and 0.27524.
The problem asks for the region of smallest area that can accommodate every plane curve of length 1.
It is easy to show that the circular disk with diameter 1 will cover every planar arc of length 1. The area of the disk is approximately 0.78539.
Rate this question:
Quiz Review Timeline (Updated): Mar 21, 2023 +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
Quiz: How Well Do You Know Inscribed Angles?
Welcome to the intriguing world of inscribed angles within circles! Prepare to embark on a journey of geometric discovery with the "How Well Do You Know Inscribed...
Questions:
10 |
Attempts:
288 |
Last updated:
Aug 20, 2023
|
Quiz: How Well Do You Know The Perimeters And Areas Of Similar Figures?
Dive into the captivating world of geometry with our quiz titled "How Well Do You Know the Perimeters and Areas of Similar Figures?" This engaging quiz is your...
Questions:
15 |
Attempts:
405 |
Last updated:
Dec 11, 2024
|
Test Your Knowledge Of Scale Drawing!
Welcome to the "Test Your Knowledge of Scale Drawing!" quiz! This quiz will assess your understanding of scale drawing concepts, its applications, and the mathematical...
Questions:
10 |
Attempts:
470 |
Last updated:
Nov 16, 2023
|
A Basic Maths Quiz About Shapes And Numbers!
In Mathematics, Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which...
Questions:
17 |
Attempts:
514 |
Last updated:
Apr 03, 2025
|
Quadrilateral And Its Types Quiz
A quadrilateral is a polygon that has exactly four sides. Here is an informative quiz about Quadrilaterals, that will help in the betterment of your geometric...
Questions:
10 |
Attempts:
3601 |
Last updated:
Jan 06, 2025
|
Straight Lines Quiz: Geometry Test!
The notion of line or straight line is to represent straight objects in geometry. Lines are an idealization of such objects, often described in terms of two points. Take this quiz...
Questions:
16 |
Attempts:
1938 |
Last updated:
Jul 24, 2024
|
Wait!
Here's an interesting quiz for you.