Question About 3D Shapes

Gizmo j

Golden Member
Nov 9, 2013
1,402
384
136

I wanted to 3D print 3D shapes for my cousin's toddler.

I was watching the 3D shapes song above and at 50 seconds in the singer says "ALL" 3D shapes...

My question is, is this really "ALL" the 3D shapes? Aren't there "OTHER" 3D shapes? Or are the other shapes not really a shape but a hybrid of different shapes?

Below are the ones I'm on the verge of printing:


 

Chaotic42

Lifer
Jun 15, 2001
34,469
1,657
126
I scanned through that video, and it depends on what you mean by "all". There are an infinite number of topologically distinct 3D shapes - trivially, imagine a doughnut, now one with two holes, one with three, etc. How you define "same" and "different" here will affect your answer.
 

Kaido

Elite Member & Kitchen Overlord
Feb 14, 2004
50,357
6,538
136
I scanned through that video, and it depends on what you mean by "all". There are an infinite number of topologically distinct 3D shapes - trivially, imagine a doughnut, now one with two holes, one with three, etc. How you define "same" and "different" here will affect your answer.

 

IronWing

No Lifer
Jul 20, 2001
72,182
32,565
136
Getting all the shapes would be pretty cool. Calcite is trigonal hexagonal scalenohedral and has over three hundred crystal habits.
 

quikah

Diamond Member
Apr 7, 2003
4,171
725
126
The line "All 3D shapes" is referring to the mentioned shapes in the song are all 3d. Sphere, cylinder, cube, pyramid, cone, are all 3D shapes.

There are probably an infinite number of 3D shapes. I am sure there have been some math theses on the subject.
 

WelshBloke

Lifer
Jan 12, 2005
32,544
10,721
136
Do a Möbius strip and a Klein bottle too.
Everyone should know how to make a mobius strip! I near melted a colleagues brain at work when I got her to draw on the strip and count the sides!

Disclaimer: That colleague is particularly stupid!
 
Reactions: lxskllr

biostud

Lifer
Feb 27, 2003
19,625
6,674
136
Everyone should know how to make a mobius strip! I near melted a colleagues brain at work when I got her to draw on the strip and count the sides!

Disclaimer: That colleague is particularly stupid!
This is a nice explanation and a 3D printed version last in the video.

 
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