Cabbibo aka Isaac Cohen has uploaded a nice video – with a lot of dimensions – presenting his latest work Albert Einstein would have had fun with. Slice the 3rd Dimension to get a part out of the 4th dimension….watch the video in 2D – and of course – check out the great demo in Leap Dimension!
Cabbibo: The Tesseract MRI is an attempt to visualize the 4th dimension. It explores this dimension in the same way we explore brains: by taking slices of them. By changing the position and angle of your hand, you redefine a hyperplane which takes a 3D Slice out of the 4th dimension.
If the Slice that you take intersects the 4D object, in our case a tesseract, it will reveal the part of that object that exists in the current 3D slice. Additionally, you can see the same process happening as we take 2D slices of a 3D cube, and 1D slices of a 2D square.
Inspired in part by ‘Flatland’ by Edwin Abbott Abbott, The Tesseract MRI hopes to let people understand a space that they typically cannot. By playing a note every time the 3-Dimensional Slice hits a corner, auditory feedback additionally invokes a sense of the size and the shape of the ethereal Hypercube.
Hold hand out with fingers spread over the Leap Motion controller. Move and rotate your hand to explore the tesseract.
Hold 1 finger up to see lower dimensional slices
Hold 2 fingers up to see an projected version of the tesseract
Hold 3 fingers up to see the 3D slice of the tesseract
Explore at cabbibo.com/tesseract with Google Chrome and Leap Motion
What is a tesseract? (Wikipedia)
In geometry, the tesseract, also called an 8-cell or regular octachoron or cubic prism, is the four-dimensional analog of the cube; the tesseract is to the cube as the cube is to the square. Just as the surface of the cube consists of 6 squarefaces, the hypersurface of the tesseract consists of 8 cubical cells. The tesseract is one of the six convex regular 4-polytopes.
According to the Oxford English Dictionary, the word tesseract was coined and first used in 1888 by Charles Howard Hinton in his book A New Era of Thought, from the Greek τέσσερεις ακτίνες (“four rays”), referring to the four lines from each vertex to other vertices. In this publication, as well as some of Hinton’s later work, the word was occasionally spelled “tessaract.” Some people have called the same figure a tetracube, and also simply a hypercube (although the term hypercube is also used with dimensions greater than 4).