Dissection of Cube into 3 Cubes using 8 Pieces
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Theorem
A cube can be dissected into $3$ smaller cubes by cutting it into $8$ pieces and reassembling them.
Proof
This theorem requires a proof. In particular: Apparently it can be done using the result Cubes which are Sum of Three Cubes. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $216$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $216$