How to Draw a 4D Hypercube (My Way) - FeltMagnet - Crafts
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How to Draw a 4D Hypercube (My Way)

"In geometry, the tesseract, also called an 8-cell or regular octachoron or cubic prism, is the four-dimensional analog of the cube."

"In geometry, the tesseract, also called an 8-cell or regular octachoron or cubic prism, is the four-dimensional analog of the cube."

A Tesseract Is a Four Dimensional Hypercube

If you're drawing a square on a flat sheet of paper, how many straight lines does it take? Four. If you're drawing a cube, how many squares (sides) does that take? Six. So if you're drawing a tesseract, how many cubes does that take? Eight!

In this article, I'm going to show you how to draw your very own tesseract! The lengths of the lines and the angles won't be exact, however, because I'm not using a ruler for this tutorial.

Step 1

Step 1

First: How to Draw an Ordinary Cube

Step 1: Draw two lines of equal length, attempting to keep them an equal space apart, at slightly different heights.

Step 2

Step 2

Step 2: Connect the two lines as shown, creating what looks like a smooshed square, or a fat diamond that fell over.


Step 3

Step 3

Step 3: Draw four parallel lines stemming from each of the shape's four corners.


Step 4

Step 4

Step 4: Connect the ends of the two top lines, the ends of the two bottom lines, and then connect each bottom line with the line above.

Visual instructions for drawing the tesseract follow below:

Step 5

Step 5

Step 6

Step 6

Step 7

Step 7

Step 8

Step 8

Step 9

Step 9

Step 10

Step 10

Step 11

Step 11

Step 12

Step 12

Step 13

Step 13

Step 14

Step 14

Step 15

Step 15

Step 16

Step 16

Step 17

Step 17

Step 18

Step 18

Step 19

Step 19

Step 20

Step 20

Step 21

Step 21

Step 22

Step 22

Step 23

Step 23

And there you have it! A complete two dimensionally rendered tesseract, and only twenty-three steps later. I hope you enjoyed my little tutorial!

If you're interested to learn more about four dimensional geometry, try getting your hands on a copy of Geometry, Relativity, and the Fourth Dimension by Rudolf v. B. Rucker, published in 1977.

Comments

11th dimensional boy on February 22, 2019:

I made it with cardboard . Its just COOL.

Brogod on November 26, 2018:

Cool

ghfgefhjfjhhfh on September 26, 2018:

too hard to draw for me

Fourdimensional on November 17, 2017:

Rotation in four-dimensional space.

https://youtu.be/vN9T8CHrGo8

The 5-cell is an analog of the tetrahedron.

https://youtu.be/z_KnvGGwpAo

Tesseract is a four-dimensional hypercube - an analog of a cube.

https://youtu.be/HsecXtfd_xs

The 16-cell is an analog of the octahedron.

https://youtu.be/1-oj34hmO1Q

The 24-cell is one of the regular polytope.

https://youtu.be/w3-TqPXKlVk

The hypersphere is an analog of the sphere.

jimmy on September 06, 2017:

The steps are a little difficult to memorize.

BlahBlah on April 01, 2017:

My Wrinkle in Time project will be much easier now. THX

Alex on May 05, 2015:

Hi! its me again i just found one little error. You know how you highlight your next line? Well, on Step 12 you highlighted the line you highlighted last step on step 11. I hope that wasn't too confusing! Thank you for your time!

Alex on May 05, 2015:

wow! thank you so much! i just love the looks of the 4D Hypercube! Its just so cool!