Top Tweets for #WonderWithMe
#WonderWithMe: What angle do the two straight sides have to make with each other in order for this to work (i.e., the four "sides" having equal length)? #iteachmath
A good one
A circle passes through exactly three points of an infinite square lattice.
There are 𝘯 lattice points in its interior.
What could 𝘯 be? What can it 𝘯𝘰𝘵 be?
#WonderWithMe #math #mathchat #maths #mathschat #iteachmath
If you're given 6 edges with distinct lengths with which you are to make a tetrahedron, I wonder how many different volumes those tetrahedra could have? And HOW different (from each other) could those volumes get?
🤔🤔🤔#WonderWithMe🤔🤔🤔
Can you characterize all distinct positive integers a, b, c, and d for which a!/b! = c!/d! ? #WonderWithMe
Now wondering whether these functions on THREE arguments can be expressed ("nicely") using absolute value
min(a,b,c)=...
max(a,b,c)=...
#WonderWithMe
The min & max functions defined in terms of the absolute value function:
min(a,b) = (a+b-|a-b|)/2
max(a,b) = (a+b+|a-b|)/2
#WonderWithMe:
For which integers n is sin(n°) an algebraic number?
cos(n°)?
tan(n°)?
I don't know the answers. (And I don't want you to give them to me.) I don't actually know if you get a different answer in R^4 than you do in R^3. I think it's plausible that you could, but I don't know. Just putting all of this out there and asking you to #WonderWithMe.
I'm not stuck. I'm in the middle of all of this wondering, and I just thought you all might like to #WonderWithMe.
4/4
#WonderWithMe: What if there were a measure of a polygon called "regularity," in which regular polygons had a regularity of 1, and all others had a regularity between 0 and 1.
How might this measure be calculated for an arbitrary polygon?
It is clear that any rectangle whose length is four times its width can be divided into two pieces that can be reassembled to form a square.
What other rectangles have this property?
Can we characterize them all?
#math #maths #iteachmath #WonderWithMe
What is the smallest number of acute triangles into which a square can be dissected? #WonderWithMe #math #maths
Which recursively-defined sequences can also be defined explicitly, and which cannot?
Which explicitly-defined sequences can also be defined recursively, and which cannot?
#WonderWithMe #iteachmath
Triangles ABC and DEF are both 3:4:5 right triangles.
DEF is inscribed in ABC, by which I mean that D, E, and F lie on AB, BC, and AC—NOT NECESSARILY RESPECTIVELY.
What is the minimum possible value of [Area of DEF]/[Area of ABC]?
#WonderWithMe #math #mathchat #maths #mathschat
Any continuous, non-constant functions f defined on ℝ such that f(x)f(x+1) is a constant for all x?
#math #iteachmath #WonderWithMe
In search of three sets A={a₁,a₂,a₃}, B={b₁,b₂,b₃}, and C={c₁,c₂,c₃} of positive integers (all nine distinct) such that
Σ aᵢ = Σ bᵢ = Σ cᵢ,
Σ aᵢ² = Σ bᵢ² = Σ cᵢ², and
Σ aᵢ³ = Σ bᵢ³ = Σ cᵢ³.
Or a proof that they don't exist.
#WonderWithMe #math #maths
Two rays have their endpoint at the origin, and their direction angles (relative to the positive x axis) are α and β. Is it possible to write a single, conditional-free equation in x and y for the graph? #WonderWithMe
Anyway, if you know the answer, please don't tell me. Or even tell me how to find it. I just want those people at roughly my level of math-understanding to #WonderWithMe.
Is it possible to associate with every pt in the coordinate plane one of two colors, such that EXACTLY 3 of the vertices of any square drawn in the plane are the same color? (That "same color" does not have to be the same for all squares.) #WonderWithMe #math #maths #iteachmath
@rlawsum Incidentally, I’m pretty sure this one has a unique solution (and that I know what it is).
Usually, when I post a question I don’t know the answer to, I tag it with #WonderWithMe
A pair of sequences aₙ and bₙ follow the recursion rules below.
What things might one wonder about such a pair of sequences?
#math #maths #WonderWithMe #iteachmath
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