been stuck on solving/proving the following puzzle:
You need to make a hole in the wall, so that a 1 meter line can pass it through the hole at all angels, find a shape with minimum surface area that would satisfy the above conditions ?
2025-01-13 09:37:41.1736761061
what is the minimum surface area shape required in order to contain a 1 meter line at all angles
436 Views Asked by Mike https://math.techqa.club/user/mike/detail At
1
There are 1 best solutions below
Related Questions in GEOMETRY
- Prove that the complex number $z=t_1z_1+t_2z_2+t_3z_3$ lies inside a triangle with vertices $z_1,z_2,z_3$ or on its boundary.
- If there exist real numbers $a,b,c,d$ for which $f(a),f(b),f(c),f(d)$ form a square on the complex plane.Find the area of the square.
- Is equilateral trapezium possible?
- Another argument for a line being tangent to a circle in plane geometry
- What is the value of x where $x = R_1 - R_4 + R_3 - R_2$ in correspondence to the area of different circle regions?
- Cut up a cube into pieces that form 3 regular tetrahedra?
- A problem relating to triangles and progressions
- Problem relating to Similar Triangles and Trigonometry:
- Intersection point and angle between the extended hypotenuses of two right-angled triangles in the plane
- Max value of $a$ given following conditions.
Related Questions in RECREATIONAL-MATHEMATICS
- sum of digits = sum of factors
- How many ways are there to pile $n$ "$1\times 2$ rectangles" under some conditions?
- Deriving the surface area of a sphere from the volume
- Probability of termination of random teleportation
- Why is the following NOT a proof of The Chain Rule?
- Does there exist a tool to construct a perfect sine wave?
- A further question to "does-there-exist-a-tool-to-construct-a-perfect-sine-wave"
- Infinite prisoners with hats where the prisoners do not know their position.
- Is there a contiguous locus of the equality $a = b$ in $\zeta(\rho + \varepsilon)=a + î b$ in the near of a root?
- $f(x+1)=f(x)+f(\alpha\cdot x)$
Related Questions in PUZZLE
- Solution to a simple number theory problem (how much)
- Deriving the surface area of a sphere from the volume
- Seconds of a Clock
- $F(F(x)+x)^k)=(F(x)+x)^2-x$
- Board game on a $m\times n$ board - winning strategy
- Need way to statistic puzzle
- Does there exist a tool to construct a perfect sine wave?
- Maximum multiple of 3 using three numbers and given operations
- How old is the captain and ship?
- Very fascinating probability game about maximising greed?
Related Questions in SURFACES
- Intersection of curves on surfaces and the sheaf $\mathcal O_{C\cap C'}$
- What does it mean to 'preserve the first fundamental form'?
- Verification of a proof regarding the connected sum of two surfaces
- Deriving the surface area of a sphere from the volume
- Surface area common to two perpendicularly intersecting cylinders
- Points on ellipsoid with maximum Gaussian curvature/mean curvature.
- Is the principal curvature of a cylinder positive or negative according to the second fundamental form?
- Relation between curves on a surface and divisors
- Is a point on a plane part of a face on the plane?
- Can any surface be described by an equation?
Related Questions in MINIMAL-SURFACES
- components of normal field are Jacobi fields?
- Conformal immersions from surfaces into 3-manifolds
- Understanding an example for "minimal surface doesn't imply least area"
- what is the minimum surface area shape required in order to contain a 1 meter line at all angles
- Lipschitz Continuity for a function on stable minimal hypersurface immersed in $\mathbb{R}^n$
- Is every totally geodesic surface minimal?
- Gaussian curvature of minimal surfaces expressed by torsion and curvature of its geodesics
- Minimum sum of the squares
- Associated family of isometric surfaces of a helicoid (or a catenoid)
- A surface doubly ruled by orthogonal lines is a plane
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Refuting the Anti-Cantor Cranks
- Find $E[XY|Y+Z=1 ]$
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- What are the Implications of having VΩ as a model for a theory?
- How do we know that the number $1$ is not equal to the number $-1$?
- Defining a Galois Field based on primitive element versus polynomial?
- Is computer science a branch of mathematics?
- Can't find the relationship between two columns of numbers. Please Help
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
- Alternative way of expressing a quantied statement with "Some"
Popular # Hahtags
real-analysis
calculus
linear-algebra
probability
abstract-algebra
integration
sequences-and-series
combinatorics
general-topology
matrices
functional-analysis
complex-analysis
geometry
group-theory
algebra-precalculus
probability-theory
ordinary-differential-equations
limits
analysis
number-theory
measure-theory
elementary-number-theory
statistics
multivariable-calculus
functions
derivatives
discrete-mathematics
differential-geometry
inequality
trigonometry
Popular Questions
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- How to find mean and median from histogram
- Difference between "≈", "≃", and "≅"
- Easy way of memorizing values of sine, cosine, and tangent
- How to calculate the intersection of two planes?
- What does "∈" mean?
- If you roll a fair six sided die twice, what's the probability that you get the same number both times?
- Probability of getting exactly 2 heads in 3 coins tossed with order not important?
- Fourier transform for dummies
- Limit of $(1+ x/n)^n$ when $n$ tends to infinity
Take an equilateral triangle with sides of length $1$, and then use each vertex as the center of a circular arc passing through the other two vertices:
This is at least a contender, with area $3\cdot\frac{\pi}{6}-2\cdot\frac{\sqrt3}{4}$, less than a circle of diameter $1$ or a quarter-circle of radius $1$, which are other convex shapes meeting the description. This shape may be the winner if you require a convex shape, but I have no ideas for proving it.