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As above, what is a possible scenario/ dataset/ case in which Isomap fails to do a decent dimensionality reduction?

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Here is the visualization of COIL-20 data set in t-SNE paper:

t-SNE vs isomap on COIL-20 data set

The data-set consists of images of 20 objects (clusters). In all cases provided in the paper and some cases I found on the Internet (6000 MNIST data set, slide no. 31), the quality of IsoMap (2001) is not comparable to t-SNE (2008).

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