Fun math problem (6 Viewers)

[Dreamer_of_Songs]

The only other number I can think of is 180.

 

[StirFriedPanda]

You seem proud that you can offer up some wisdom

I am. As Leeseo wisely said, "I walk slowly but I never walk backwards. "

 

[Ahsoka]

The only other number I can think of is 180.

No

 

[Dreamer_of_Songs]

This is indeed a tricky problem

 

[Selfmate]

If you have two tetrahedrons (a figure made of 4 triangular sides) that have only equilateral triangles, what would be the angle of the planes between sides of the triangle?

you should make this a requirement whenever new people sign up lol

 

[StirFriedPanda]

you should make this a requirement whenever new people sign up lol

I'll go for this if all members are required to have non default kpop esthetics. Sounds totally fair.

 

[Selfmate]

I'll go for this if all members are required to have non default kpop esthetics. Sounds totally fair.

no thanks pass

 

[StirFriedPanda]

no thanks pass

No wonder you keep losing all your court battles. Threaten you with esthetics and you fold instantly.

 

[Selfmate]

No wonder you keep losing all your court battles. Threaten you with esthetics and you fold instantly.

aesthetic battles yes
tax battles no!!! lol

 

[ani07]

65

 

[uran]

I like trains

 

[Ahsoka]

65

No

 

[Ahsoka]

I like trains

Correct

 

[uran]

Correct

Ill send this to mensa to show them i am indeed smart and gifted in mathematics. Theyll be so ashamed after they gave me 74 IQ in their test

 

[Ahsoka]

My guess is 60 degrees, but I have a good feeling it's wrong (Geometry was never my strong suit).

I'm leaving.

60? the only good thing about geometry for me was the hot teacher lol

90?

45

65

If anyone is curious, the answer is 70.5 degrees (approximately). I’ll put the chatGPT explanation of an edge angle vs dihedral angle below, because most people likely are thinking of it as an edge angle situation.

Spoiler: Explanation

I also linked an article explaining it in more detail but it assumes knowledge of geometry, trigonometry, dot products, ect.

Edge Angle (Vertex Angle)

• The edge angle refers to the internal angle between two edges of a tetrahedron that meet at a vertex.
• In a regular tetrahedron (where all edges are of equal length), the angle between any two edges that meet at a vertex is 60∘. This is because the faces of a regular tetrahedron are equilateral triangles, and each angle in an equilateral triangle is 60∘.

Dihedral Angle (Plane Angle)

• The dihedral angle refers to the angle between two plane faces of the tetrahedron.
• In a regular tetrahedron, this angle is approximately 70.5∘ (more precisely, arccos
  (1/3))
• To visualize this, imagine holding two triangular faces of the tetrahedron along a shared edge and measuring the angle between the planes of these two faces.

Why the Difference?

• Edge Angle (60°): This is simply due to the geometric properties of an equilateral triangle.
• Dihedral Angle (~70.5°): This comes from the three-dimensional geometry of the tetrahedron and can be derived from the cosine rule applied to the geometry of the tetrahedron.

In summary, the edge angle is 60∘ because it's the angle in an equilateral triangle, while the dihedral angle is 70.5∘ due to the three-dimensional arrangement of the triangular faces in a regular tetrahedron.

Calculating the Plane Angles of Platonic Solids

What is the angle between two planes of a tetrahedron? The angle between any two edges of the tetrahedron is $latex 60^\circ$, so it’s easy to (falsely) conclude that the angle between two fa…

luckytoilet.wordpress.com

 

[Harmony_Starz]

I'm leaving.

me too, I forgot all my math

 

[Harmony_Starz]

I like trains

you are sosmart

 

[uran]

you are sosmart