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Shape and Space

Exhibit-Links
11976 Phänomen

847 Compass needles

Magnetic Domains. There are 847 compass needles attached to a disc. Because they are so close together, they influence each other. With a magnet, the compass…

10228 Haupt

A riddle for intelligent and patient people

Puzzles for the sharp-minded and patient. Trickier than it seems: these eleven puzzles with strings, boards, and rings are challenging. One of them cannot be…

10442 Haupt

A Table with loose Legs

Three, two, one – stable. How many supports do we need to stabilize a tabletop? Without screws, without glue, of course. Sharp-minded (and experimental)…

10012 Haupt

All Triangels are the same

Central projection: Using various triangular shapes to cast congruent shadows onto a patterned wall with equilateral triangles.

10398 Detail

Angled Mirrors

Many polygons. Two mirrors positioned around an axis at various angles: a simple way to create shapes with many sides (polygons). At certain angles,…

10034 Haupt

Beam Bridge

The simplest form, but not the most stable. This bridge demonstrates the forces acting on a straight beam when it is loaded and supported only at its two…

10032 Haupt

Bridge the Gap

Building bridges is not so easy - especially when you are not allowed to use nails, screws or glue! Here you only have nine identical wooden blocks at your…

10058 Haupt

Christmas Balls

Round shapes, angular gaps. The spheres are indeed round, despite the triangular gaps between them. Can this really be? If a sphere is missing in the…

10224 Detail

Conic Sections with Laser

Ellipse, parabola, hyperbolic branch, or hyperbolic arm: Cross-sections of a plane through a geometric body. In this case, a cone. A laser beam circling the…

10484 1

Convection cells

«Convection Cells» Warm air rises, as does warm liquid. This forces air and moisture to descend in other areas. The structures that form resemble cauliflower…

10059 Haupt

Conway Cube

Test your spatial imagination. Assemble nine pieces to form a cube. Three 1x1x1 cubes and six 2x2x1 cuboids. It seems simple, what the renowned British…

10487 Haupt

Do they fit in the Box?

Too big. Or is it? The cube fits into the glass cube. Clear enough. But the pyramid, the star-shaped object? Too big. Some objects appear larger than they…

10399 Haupt

Elliptical Mirror

This έλλειψις has only one goal. At one focus of this mirrored ellipse stands a rotating periscope. At the other focus, a colored cone. Looking at the…

10503 Detail

Find the Fish!

Fits, from head to fins. The fish, the wire frame next to the image, fits in only one spot into the pattern with the "water lilies." The pattern with many…

10403 Haupt

Gothic Arch and Flying Buttress

With pillars and arches. Like in a cathedral: this is how forces act in a structure with a tall pointed arch and a system of buttresses. What significant…

10441 Haupt

Ink Fractals

Fingers grow fingers. As the ink spreads between the two acrylic plates, beautiful fractal patterns form. Finger-like structures that resemble ink…

10220 Haupt

Kalliroscope©

Magic and Beauty of Flowing Motion A vortex generator or rather a spectator par excellence. It allows for enchanting, seemingly chaotic, yet somehow regular…

10422 Detail

Liquid Dynamics

Chaotic eddies, turbulent swirls – and calm zones. Turbulences become visible. In the flow tank, they appear in the water. Very similar to what happens in a…

10254 Detail

Lying Water Disk

Water shapes sculptures. When two water jets collide, the water is deflected sideways. A water membrane forms, creating a disc. The pressure in the two pipes…

11701 1

Mirror cubes

Create different figures with coloured wooden blocks and on a mirror surface. What does the built cube world look like mirrored several times?

10288 Haupt

Möbius Cube Loop

Infinite puzzle. The Möbius strip, assembled from cubes. The building blocks are cubes and corner pieces. The faces of the cubes are painted on their…

10289 Haupt

Moebius Strip

Loop without end. Most things have two sides, but not everything. Among the exceptions is the Möbius strip. When we ride along it with a small train, we…

10290 Haupt

Moiré

It’s all a matter of perspective. Black point clouds: this impression is created by two perforated plates mounted one behind the other at a certain distance.…

10455 Haupt

Non-round Wheels

And yet they roll! With the right rolling surface, even a square rolls perfectly round. This applies to a pentagon as well as to any other regular…

10315 Haupt

Penrose Parquet

Aperiodic pattern. In the aperiodic Penrose tiling, subpatterns repeat irregularly, even though shapes like hexagons or stars appear throughout. Using only…

10364 Haupt

Pythagoras’ Theorem - Easy to weigh up!

a² + b² = c² with stars and bunnies. The square of the hypotenuse and the squares of the legs can be weighed against each other, as they are made of identical…

10363 Haupt

Pythagoras’ Theorem - flows from this

a² + b² = c² The Pythagorean theorem describes a transformation of areas. In a right triangle, the sum of the squares of the two shorter sides equals the…

10346 Haupt

Quasi-Crystals

Golden rhombohedra. When correctly assembled, the various bodies (cubes stretched along their diagonals and cubes compressed along their diagonals) form a…

10355 Haupt

Rhombo Puzzle

Rhombo-dodecahedron from parallelepipeds. Twelve building blocks (each consisting of two connected parallelepipeds) can be assembled to form a…

10430 Haupt

Rocking Roller - the Oloid

Wobbles, but goes straight. The oloid has only one surface. It is the only known shape that fully unwinds as it rolls. This means that every point on its…

11575 Detail II

Sculptures in stroboscopic light

« BLOOM Revelation » and « BLOOM Accordance ». Sculptures come alive: single images, shown in rapid succession, are combined by our brain into a seamless…

10395 Haupt

Soma Cube

7 pieces = 1 cube. Each of the seven components of this large cube is a polycube. This means each piece consists of several small cubes. Spatial imagination…

10345 Detail

Square Puzzle and the Square to Triangle-Conversion

Disassemble and reassemble – discrete geometry. Square puzzle: Nine square tiles of different sizes. Arranged correctly, they fit into an almost-square…

11818 Phänomen I

Squaring the Circle

Everything always has two sides. From one side, it looks like a square; from the other, a circle. It’s all a matter of viewpoint and perspective. The…

10448 Haupt

T-Puzzle

Frustratingly simple. Four pieces make up a puzzle. When placed correctly, they form the letter T. Child’s play. But: is this task really that easy?

10437 Haupt

Tetrahedron Puzzle I

Three-sided pyramid, puzzle with two pieces. Spatial imagination is required: when correctly combined, these two equally sized bodies form a…

10438 Haupt

Tetrahedron Puzzle II

Three-sided pyramid, puzzle with four pieces. Spatial imagination is required: when correctly combined, these four equally sized bodies form a…

10439 Haupt

Tetrahedron Puzzle III

This puzzle game is mainly about spatial imagination. Four (2 equal) bodies made of spheres are to be assembled to form a tetrahedron.

11864 Haupt

The big is in the small: crystals

Amazing Order Shake it, please. When the balls come to rest, they arrange themselves into regular patterns. These patterns can be compacted, almost to…

10338 Haupt

The Circle’s the Limit!

A circle with many corners. Reflect green laser light to form a triangle, a quadrilateral, a pentagon, a … The more corners this polygon has, the more it…

DSCF1135

The Tea Leaves Experiment / Tea Cup Experiment

«Everyday Physics» Experiment like Albert Einstein. In a paper about river meander formation, he wrote: «I begin with a small experiment that anyone can…

10120 Haupt

Thread Models

Straight threads, curved surfaces. Rotatable cylindrical model: a cylinder becomes a hyperboloid. A surface generated by the rotation of a hyperbola. Movable…

10975 Haupt

Watch Water Freeze / Ice Flowers

Watch Water Freeze Crystals form on the cold surface, like frost flowers on windows, a sight we see less often thanks to better insulation. Here, you can see…

10161 Haupt

Weird Wheels

Not round, but it rolls round. These discs aren’t round, but when they roll, their axis stays at the same height: solids of constant width. Disc-shaped bodies…

10482 Haupt I

Wobbly Bridge I Arch Bridge / Wobbly Bridge II Suspension Bridge

Suspension bridge – an arch bridge viewed from a different angle and subjected to a different load. Resembling a suspension bridge, the chain bridge reflects…

Experiment-Links
Agar Cell Diffusion DSC 0413 P960

Agar Cell Diffusion

Use cubes of agar to investigate how size impacts diffusion. All biological cells require the transport of materials across the plasma membrane into and out of…

Anti Gravity Mirror DSC 6663 H1

Anti-Gravity Mirror

Learn how to fly with this neat mirror trick. A reflection of your right side can appear to be your left side. Try this activity and you'll appear to perform…

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Acoustics

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Aggregate states

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Algorithms

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Animals, plants, habitats

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Atomic and quantum physics

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Atomic structure

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Automats

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Biology

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Buoyancy

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Chaos

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Characteristics of life

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Chemical Reactions

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Chemistry

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Colors

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Computer science

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Cryptology

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Currents

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Data and information

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Design elements

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Earth sciences

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Electricity

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Electricity and energy

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Electricity and magnetism

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Elektromagnetismus