When we build a Moebius Strip, we made the plane (strip of paper) go through 3D space by twisting it.
- The Moebius Strip is a curved plane in 3D.
![](/fe/media/image/be/be00bd4314206716d9fd9a0f74c512177db1620f.jpeg)
Now lets press the moebius strip flat on the table.
In left picture we see a hole like a triangle in the middle.
To avoid this we have to shorten the length of the strip.
Without the hole in the midle we get this view:
![](/fe/media/image/84/844073c0b22826a4e74ae9f736f5f804c54fb6a9.jpeg)
Discover:
Its a hexagon - containing the sequence: 1-2-3
- 1 triangle (green)
- 2 triangles (light green)
- 3 triangles (violet)
![](/fe/media/image/de/de215a3800e9e7e0cec442486ca634ea7e68618f.jpeg)
A hexagon designed like this
represents a cube (3D space), seen from a specific standpoint.
For the Creatives
Here is a design for reconstruction:
![](/fe/media/image/97/971a8821e556416a9fedb6ceb46924ff7aa300ac.jpeg)
save the picture (it comes full size), print it, cut out the strip and tape it (glue #1 on #9)
Fold the strip along the triangle lines, where the colours change.
![](/fe/media/image/d2/d2bc248352630c5af03e1ce4bef46a0221bd7a8e.jpeg)
Tessellation
from above
moebius strip design
![](/fe/media/image/d7/d7b27590303a4b013c3c9b16bceb39fa2226c15a.jpeg)
Try yourself
Hexagons have 6 equilateral triangles inside (each side has the same length).
The angel between 2 sides is 60°.
![](/fe/media/image/a9/a9a290e999acfd9b78c9437f37d0a9b676a29bd6.jpeg)
If you use squared paper for your own ideas
you can define the 3 edges of an equilateral triangle
by counting the squares.
2 examples for reconstruction
![](/fe/media/image/78/781a217a5c2e91bbf85de670d4cc6beb5be5cf94.jpeg)
![](/fe/media/image/4a/4ab72a5e8672e90f148b7bf99692afae7bbb8efa.jpeg)
The background for these designs is a "knot" structure.
Knots too have their specific systems building networks by connecting lines (1D) to planes (2D), including space(3D) into their construction process.
A lot of knowledge about dimensions, their visual perception and meaning is hidden in these old techniques.