# 3 Non-Parallel Planes divide Space into 8

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## Theorem

Let $3$ planes which are pairwise non-parallel be constructed in ordinary $3$-dimensional space.

Then that space is divided into $8$ parts by those planes.

## Proof

This theorem requires a proof.In particular: Intuitively obvious but needs a run-upIt's not actually even true -- consider the case where all $3$ lines of intersection of the $3$ planes are parallel. Needs to be reworded, presumably just means the lines of intersection are pairwise non-parallel as well. 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): $8$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $8$