Mobile Icosapods

Pods are mechanical devices constituted of two rigid bodies, the base and the platform, connected by a number of other rigid bodies, called legs, that are anchored via spherical joints. It is possible to prove that the maximal number of legs of a mobile pod, when finite, is 20. In 1904, Borel designed a technique to construct examples of such 20-pods, but could not constrain the legs to have base and platform points with real coordinates. We show that Borel’s construction yields all mobile 20-pods, and that it is possible to construct examples where all coordinates are real

Fifth European Dirofilaria and Angiostrongylus Days (FiEDAD) 2016

Peer reviewe

Origami-like quasi-mechanisms with an antiprismatic skeleton

Animations of origami-like quasi-mechanisms with an antiprismatic skeleton (based on a regular n-gon) of sandglass type (for n=3,4,5,6), which are either shaky or have an extremal snap, i.e. one realization is on the boundary of self-intersection. In the latter case also the shaky configuration is displayed (center), which has to be passed during the snap between the two realizations (left, right) of the polyhedron

Origami-like quasi-mechanisms with an antiprismatic skeleton

Animations of origami-like quasi-mechanisms with an antiprismatic skeleton (based on a regular n-gon) of sandglass type (for n=3,4,5,6), which are either shaky or have an extremal snap, i.e. one realization is on the boundary of self-intersection. In the latter case also the shaky configuration is displayed (center), which has to be passed during the snap between the two realizations (left, right) of the polyhedron.THIS DATASET IS ARCHIVED AT DANS/EASY, BUT NOT ACCESSIBLE HERE. TO VIEW A LIST OF FILES AND ACCESS THE FILES IN THIS DATASET CLICK ON THE DOI-LINK ABOV

Dataset: Snappability and singularity-distance of pin-jointed body-bar frameworks

Animations of the snapping of Example 2 (Animation4R.gif) , the Siamese dipyramid (AnimationSD.gif) and the Four-horn (AnimationFH.gif) as well as the expression of the shakiness factor S for the Siamese dipyramid (SDsingularity.txt) and the Four-horn (FHsingularity.txt), respectively