A nonpolyhedral triangulated Möbius strip
A nonpolyhedral triangulated Möbius strip
We construct a triangulated Möbius strip with 9 vertices which is not embeddable into <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="bold upper R cubed"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="bold">R</mml:mi> </mml:mrow> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{{\mathbf {R}}^3}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> such that all edges are straight line …