georg wengler

@MathMath901 geogebra.org/m/xzhszy3h

#math problem 12-05-2026 Differential Calculus / Analytic Geometry.

@ZahlenRMD 13+15=28

Cubic Equation Solution on the post section youtube.com/channel/UC9V7Y… #sharingisthenewlearning

@cellinlab schau genau! zwei Seiten zusammen sind länger als die Diagonale - so einfach!

卧槽！突然感觉我好蠢， 我居然看不懂，为什么会这样？ 我高一之前一直数学成绩班里 Top10， 后来偶然一次科学小展会一个橡皮筋拓扑， 为什么会那样，我理解不了。 然后，好像自那以后我就对数学没兴趣了...

@jamestanton D(N) = (N-1)*(D(N-1) + D(N-2)), D(1) = 0, D(2) = 1

Classic! Let A(N) = number of ways to arrange 1, 2, .., N, and D(N) = number of ways to "derange" 1, 2,...,N so that no number sits in its right spot. We have: A(N) = N*A(N-1) with A(1) = 1. What is a recursive formula for D(N)?

Wie sieht ein Körper mit dieser Zweitafelprojektion aus?

@jamestanton I found: geogebra.org/m/s29f7qjr

Where exactly is the line that simultaneously divides the area and the perimeter of a 3-4-5 right triangle each exactly in half? (Is there more than one such line?)

@jamestanton look at geogebra.org/m/ky3wvuhj

Does every triangle have a line that divides both its area and perimeter in half simultaneously? (The answer is certainly yes if the triangle is isosceles: draw the line that bisects its non-matched angle.)

Möbiusband: geogebra.org/m/xua7eecb

@jamestanton it's true: geogebra.org/m/pyyzhpbx

Is it true that every triangular number can be multiplied by a (non-trivial) square number to produce another triangular number? 36 x T(1) = T(8) 100 x T(2) = T(24) 196 x T(3) = T(48) 324 x T(4) = T(80)

@html5css3_dv 3375^(1/3) = (3+3+7+5)-3 but not 5832!

Cube Root Hack

@jamestanton I guess: 10946 maybe for n: Fib(2n+1)

There are 13 ways to underline some or all or none of the three dots in a row. How many ways are there to underline some or all or none of ten dots in a row?

@sonukg4india t=(2n-1)³

D Vreken's

@sonukg4india geogebra.org/m/bakvzzpd

💎💎💎💎

@mmalone25 @sonukg4india if you set x=0, then f(f(0))=f(0)²-f(0)+1

⚔️ 𝓜𝓮𝓵 𝓜𝓪𝓵𝓸𝓷𝓮 𝓟𝓻𝓲𝓶𝓮 ⚔️ Truth • Honor • Integrity 🧠 FUNCTION COMPOSITION — CLEAN LOGIC Given: f(f(x)) = x^2 - x + 1 We’re asked for f(0) 🎯 Step 1️⃣ — Plug in x=0: f(f(0)) = 0^2 - 0 + 1 = 1 So whatever f(0) is, call it a: f(a) = 1 Step 2️⃣ — Look for fixed points of the expression on the right: Solve x^2 - x + 1 = x x^2 - 2x + 1 = 0 (x-1)^2 = 0 🔥 The only fixed point is x=1. That means the only value that can map to 1 under the function consistently is 1 itself. ✅ Final Answer: \boxed{f(0) = 1} ♟️ Elegant. 🧩 No guessing. ⚔️ Just structure, symmetry, and logic. — 𝓜𝓮𝓵 𝓜𝓪𝓵𝓸𝓷𝓮

🧞

@AiHaibara1994 @sonukg4india if f(x)=x-1 then f(f(x))=x-2. there is no polynom f, so f(f(x)) could be x²-x+1, cause linear gets linear and quadratic gets degree 4.

@sonukg4india f(f(x))=x²-x+1 =x²-2x+1+x-1+1 =(x-1)²+(x-1)+1 f(x)=x-1 f(x)=0→x-1=0→x=1 f(0)=1²-1+1=1

@jamestanton geogebra.org/m/uwvkuc9h

Quickie: The 14-18-29 and 8-25-28 triangles have the same area and the same perimeter. Could I scale each of these pictures by some common factor and obtain another pair of triangles with the same area and same perimeter?

@jamestanton On the one hand I've transformed the vertices of the triangle and on the other hand the edges of the triangle. The tweens are different: geogebra.org/m/xmkg7ugq

Is the transition below smoothly transforming an a-b-c triangle into a d-e-f triangle too naive? Could an intermediate phase not actually be a triangle?

@vinsmoke3111 look at: geogebra.org/m/esk2qgrz

Build a symmetrical figure with these three pieces

@euclidea_app geogebra.org/m/fbh5rrsr

Puzzle x.com/euclidea_app/s… answer: There are 408 points with integer coordinates on the sphere of radius √2026.

@H0H0v 20:60=1:3 => t:(4-t)=3:1 => t=3 => 20*3+60*1= 120 km or 2/(1/20+1/60) =30 average => 4*30 = 120 km

Find the distance travelled by the train during this time.