Collection
Why robot arms are heavy, how six axes guide a hand and how control holds the load.
Apps
Ein Tischarm in sechs Stationen: Vorwärts ist eine Formel mit genau einer Antwort, rückwärts schneiden sich zwei Kreise in zwei, einem oder keinem Punkt, mit drei Gliedern gibt es unendlich viele Lösungen. Herantasten Gelenk für Gelenk, eine Säule als Insel auf der Landkarte der Winkel, die sich zum Donut rollt, und die gestreckte Lage, in der das Parallelogramm der Handbewegungen flach wird.
Engineering mechanicsTry it
Ein Sechs-Achs-Roboter mit Kugelhandgelenk in vier Stationen: Ort und Richtung des Greifers sind sechs Zahlen, zwei Drehungen ergeben je nach Reihenfolge verschiedene Würfel (R₂·R₁ ≠ R₁·R₂), acht Geisterroboter halten das Werkzeug exakt gleich und manche rammen den Tisch, und an einer Naht verklemmt das Handgelenk bei q₅ = 0.
Engineering mechanicsTry it
Die richtigen Winkel reichen nicht: Ein senkrechter Zwei-Glied-Arm mit Last muss gegen die Schwerkraft halten (Moment = Gewicht × Hebelarm), Trägheit beschleunigen und die Kopplung der Gelenke beherrschen. Sprungantworten mit P und D, derselbe Regler angezogen und ausgestreckt, schlenkernder Unterarm und Computed Torque — echte Dynamik, RK4 in Echtzeit.
Engineering mechanicsTry it
A robot arm with three joints: in forward mode you set the angles and the hand follows; in inverse mode you drag a target and the IK computes the angles — with two, one or no solution at all. Compare PTP and LIN motion on a glue seam, an overhead path and a stretch: the straight line in space turns curved in joint space, and near singularities the joint speed shoots up.
Engineering mechanicsTry itCollections
Planning and steering projects: the iron triangle, stakeholders, network diagrams, earned value, schedule risk, team size, Kanban and waterfall against Scrum.
8 appsOpen collection
From sequences to loans: arithmetic and geometric growth, savings plans, annuities, compounding within the year and perpetuities.
11 appsOpen collection
Reading the traces: burial mounds in section, radiocarbon dating, settlements in the landscape and the tomb of Tutankhamun.
5 appsOpen collection
Tables, keys, joins, groups and subqueries you can touch: how a database really reads.
7 appsOpen collection
Generative AI in strong images: what it can do, how it writes, why it convinces, how to use it well and where to take care.
7 appsOpen collection
Engine, brakes, high voltage, CAN bus and chassis: technology and diagnostics of the modern vehicle.
9 appsOpen collection
Heat in the city centre: heat islands, shade, trees and unsealing, using the old town of Reutlingen as an example.
5 appsOpen collection
Reading the small print, spotting subscription traps, placing risk figures and making texts understandable.
4 appsOpen collection
From equation to curve: initial values, linear equations, substitution and the worlds in which they apply.
7 appsOpen collection
Mean, median, mode, box plot and levels of measurement: descriptive statistics to try out.
9 appsOpen collection
From coordinates to the inverse: vectors, dot and cross products, linear equations and matrices in pictures.
12 appsOpen collection
Production principles, waste, one-piece flow, value streams, bills of materials and routing: how a factory is organised.
6 appsOpen collection
What the CRA requires of manufacturers: checking whether it applies, meeting reporting deadlines, keeping software bills of materials.
5 appsOpen collection
Reducing, common denominators, multiplying, dividing and mixed numbers: fractions step by step.
7 appsOpen collection
Proofs of special beauty to touch: Zagier's windmills, the museum guards and Buffon's needle.
3 appsOpen collection
How oscillations break down: coefficients, symmetry, phasor chains, the Gibbs phenomenon and the plucked string.
7 appsOpen collection
What happens inside the machine: objects, methods, operators, slicing and sorting in Python, visible step by step.
9 appsOpen collection
From the Patent Motor Car to the Z3: famous machines and experiments cut open in 3D.
11 appsOpen collection
Keyboard, intervals, scales, chords, the circle of fifths and groove: music theory you hear and play.
9 appsOpen collection
How sound is made and shaped: synthesizers and samplers, envelopes and overtones, waveforms and timbre, voice and orchestra, room acoustics and sound scenography — all audible in your browser.
16 appsOpen collection
Staging space, sight, light, sound and paths: visitor flows, showcase lighting, room acoustics, sound islands, projection mapping and the pavilions of world expos to try out.
15 appsOpen collection
Mathematical questions open for decades, for which an AI model proposed solutions in 2026, as interactive apps: understand the problem, experience the result.
32 appsOpen collection
From neurons and gradients to transformers, RLHF and agents: machine learning you can touch.
44 appsOpen collection
DNA, replication, transcription, translation and cell division as explorable 3D models.
24 appsOpen collection
Perspective, ornament, structure and space: how art and architecture work with mathematics.
21 appsOpen collection
Hyperloop, autonomous vehicles, warehouses and conveyors: logistics as interactive simulation.
17 appsOpen collection
Heart, eye, voice, skeleton and nerves: the human body in 3D, layer by layer.
10 appsOpen collection
Monty Hall, Simpson, Berkson and base rates: where intuition fails us with numbers.
14 appsOpen collection
Planets, stars, black holes and space probes: the cosmos to explore.
10 appsOpen collection
Light switches for nerve cells, a telescope made of ice, mirror-image chemistry and interest rates: the 2026 Nobel Prizes to try out.
8 appsOpen collection
Planted participants, smoke in the room, one dollar for a lie and experimenters who are themselves the subjects: famous social psychology experiments to try yourself.
5 appsOpen collection
Relations, classes, orders, bijections, different infinities and topology: mathematics as the science of structure, hands-on.
11 appsOpen collection
Riemann, P vs NP, Poincaré and other great questions of mathematics, made tangible.
16 appsOpen collection
Counting, arithmetic and shapes: maths for beginners, playful and clear.
6 appsOpen collectionWant to use these apps in your courses? Let’s find out what works for you.
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