Top Ten Four Dimensional Shapes

Circles? Spheres? To hell with those! They're just in two and three dimensions respectively!

The Top Ten

1 Klein Bottle Klein Bottle

You can't construct a Klein Bottle without tearing the paper, which makes it an unbeatably cool shape. - sketchysteve

Oh my god PositronWildhawk I love this list. - Ninja_Potato123

This list makes me happy. I like 4-D shapes.

This website is weird man - SmileyStudios

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2 Tesseract Tesseract

Just as the glome is to the sphere what the sphere is to the circle, a tesseract is to a cube what a cube is to a square. Its net consists of eight cubes. The tesseract is one of the regular 4-polytopes, or four dimensional extensions of the Platonic Solids. - PositronWildhawk

Voting because they're one of my favourite Prog-Metal bands!

I recently learned how to draw a tesseract. - sketchysteve

Marvel Movies for the win!

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3 Glome Glome

A glome is a four-dimensional sphere. Just as the cross-section of a sphere is always a circle, the cross-section of a glome is a sphere. - PositronWildhawk

4 Hexacosichoron Hexacosichoron

Also aptly known as the 600-cell, this is the most complex extension of the simplest Platonic Solid, consisting of 600 tetrahedral cells. The dual polyhedron of the dodecacontachoron. - PositronWildhawk

It is a 4D icosahedron, which is the awesomest 3D shape. Therefore the hexacosichoron is even awesomer. - sketchysteve

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5 Grand Antiprism Grand Antiprism

This is a more complex uniform 4-polytope than the Platonic extensions, consisting of 320 cells; 15 tetrahedra for every pentagonal antiprism. This can be made by deconstructing the hexacosichoron, specifically by removing 20 antiprism pyramids, just as the antiprism itself can be made by disassembling an icosahedron. - PositronWildhawk

This shape is so big and awesome. It should be second after the Klein Bottle. - sketchysteve

This shape is still less complex than my life. - ruJILLous

6 Dodecacontachoron Dodecacontachoron

This is the extension of the dodecahedron into four dimensions, using 120 dodecahedral cells, and the dual polyhedron of the hexacosichoron. - PositronWildhawk

I don't even know what the hell this is and I just voted for it!

Take a look at the 3D conception of one of these things rotating. It's so awesome, and could be an awesome screensaver.

7 Hexadecachoron Hexadecachoron

This is the dual polytope of the tesseract, and the extension of the tetrahedron, or the simplest Platonic Shape. - PositronWildhawk

8 Octacube Octacube

The octacube is really cool because it has no analogues in higher or lower dimensions. It proudly stands alone. - sketchysteve

The extension of the third Platonic Shape: the Octahedron, into four dimensions. Consists of 24 octahedra. - PositronWildhawk

9 Pentatope Pentatope

This is a simpler extension of the tetrahedron than the hexadecachoron, with 5 tetrahedra instead of 16. It is this which is closer to the tetrahedron in three dimensions and the equilateral triangle in two. - PositronWildhawk

10 Tetracontoctachoron Tetracontoctachoron

This is the truncated version of the octacube, which is the equivalent of cutting the vertices of the octacube itself. The regular octagon is the truncated square, just as this is made by cutting the cubic vertices of the octacube. - PositronWildhawk

How did I know you made this list before even clicking on it? Strange... I didn't even think about your love for science. I just kinda knew it.. - MontyPython

This shape is sort of ugly in my opinion. - sketchysteve

The Contenders

11 Great Grand Stellated 120-cell Great Grand Stellated 120-cell V 1 Comment
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List StatsUpdated 24 Sep 2017

11 listings
2 years, 45 days old

Top Remixes

1. Klein Bottle
2. Glome
3. Tesseract
1. Glome
2. Hexacosichoron
3. Klein Bottle
1. Klein Bottle
2. Hexacosichoron
3. Grand Antiprism



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