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.
Instructions:
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 tesseractExplore at cabbibo.com/tesseract with Google Chrome and Leap Motion
For Dad
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.
A generalization of the cube to dimensions greater than three is called a “hypercube“, “n-cube” or “measure polytope“.[1] The tesseract is the four-dimensional hypercube, or 4-cube.
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.[2] In this publication, as well as some of Hinton’s later work, the word was occasionally spelled “tessaract.” Some people[citation needed] have called the same figure a tetracube, and also simply a hypercube (although the term hypercube is also used with dimensions greater than 4).