Polycube Snakes

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

The , and cubes can be filled with a polycube "snake" that turns by right angles at every step. The solutions for these three cubes are given here.

[more]

The display of the polycubes is optional; their positions are represented by black points connected by a polyline.

Such a snaking path can be found for all cuboids except for the following cases:

and ,

odd, odd, .

(Karl Scherer 1982; the proof is very easy.)

[less]

Contributed by: Karl Scherer (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send