query: Polyhedron with Euler characteristic equal to $3$
positive_passages.docid: 153054
positive_passages.text: Euler characteristic for non-convex polyhedra.
negative_passages.docid: 4917
negative_passages.text: Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
negative_passages.docid: 58925
negative_passages.text: Order of general linear group of $2 \times 2$ matrices over $\mathbb{Z}_3$
negative_passages.docid: 141265
negative_passages.text: Finding a normal and not normal subgroup of $S_3$
negative_passages.docid: 107163
negative_passages.text: Proof that $S_3$ isomorphic to $D_3$
negative_passages.docid: 85677
negative_passages.text: Is there a free subgroup of rank 3 in $SO_3$?
negative_passages.docid: 99662
negative_passages.text: proving than every $2\times 2$ is similar to a united form
negative_passages.docid: 19285
negative_passages.text: simplifying $ (h^2_2-h^2_3)\over ({1\over h_3})-({1\over h_2})$
negative_passages.docid: 148147
negative_passages.text: Three circles having centres on the three sides of a triangle
negative_passages.docid: 16687
negative_passages.text: Number of Equivalence relations of $\{1,2,3\}$
negative_passages.docid: 108550
negative_passages.text: Elements of $\mathbb Q(2^{1/3})$
negative_passages.docid: 19280
negative_passages.text: Jordan Canonical Form determined by characteristic and minimal polynomials in dimension $3$, but not beyond
negative_passages.docid: 92750
negative_passages.text: Groups where all elements are order 3
negative_passages.docid: 76040
negative_passages.text: Show that the Euler characteristic of a chain complex is equal to the Euler characteristic of its homology
negative_passages.docid: 61732
negative_passages.text: Prove any group with 3 elements is isomorphic to $\mathbb{Z}_3$
negative_passages.docid: 16176
negative_passages.text: Primitive Pythagorean triple divisible by 3
negative_passages.docid: 147275
negative_passages.text: Finding a Eulerian Tour