NOVELTY - An amphiphilic telechelic incorporating polyhedral oligo silsesquioxane is new.    USE - The amphiphilic telechelic can be used as nonionic surfactants with enhanced thickening behavior, as solid polymer electrolytes for ionic batteries, and to improve toughness of polymers compatible with poly(ethylene oxide), including epoxy, poly(methylmethacrylate), poly(vinylacetate), poly(ethylmethacrylate), sulfonated polystyrene, and polysulfone (claimed). The shape memory polymers are particularly suitable as stents, patches and other implants for human health care applications.    ADVANTAGE - The POSS macromers can represent interesting building units for the construction of organic-inorganic hybrid structures as compared to other hydrophobic groups, e.g. linear aliphatic, aromatic, or fluorinated groups previously investigated. The amphiphilic telechelic can contribute to self-assembly while contributing steric hindrance properties in the solution and melt state. Their partially inorganic composition offers potential conversion to ceramic nanostructures. The polymers yield control over polyethylene oxide crystallization that is of benefit to their application as solid polymer electrolytes for ion-conducting batteries, e.g. lithium-ion batteries.    DETAILED DESCRIPTION - New amphiphilic telechelic incorporating polyhedral oligo silsesquioxane (POSS) is formula (III).    R = cyclic hydrocarbon from cyclohexyl, cyclopentyl, cyclo octyl, methyl, ethyl, n-propyl, isopropyl, styryl, vinyl, allyl, ethyl phenyl, or aryl group from phenyl, biphenyl, or naphthyl;    n = 1-23000.    INDEPENDENT CLAIMS are also included for the following:    (a) a method for forming amphiphilic telechelic incorporating POSS;    (b) a solid polymer electrolyte comprising the inventive amphiphilic telechelic or a blend of the amphiphilic telechelic with unmodified polyethylene glycol, with high ionic conductivity for battery applications;    (c) a method of preparing a shape memory polymer comprising reacting a polyol, a di isocyanate, and a chain extender from TMP (sic) cyclopentyl diol-POSS, TMP cyclohexyl diol-POSS, TMP isobutyl diol-POSS trans cyclohexanediol cyclohexane-POSS, or trans cyclohexanediol isobutyl-POSS; and    (d) a shape memory polymer.