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BP1098 Concave shapes whose cavities are similar to the shape vs. concave shape whose cavities are not similar to the shape.
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COMMENTS

"I am agnostic on whether to let this world include examples such as EX8932, where pixelation is used, or examples such as suggested by EX8928 similar to the "Topologist's Comb" (link in references) which are not locally path-connected. These two examples were provided by Aaron David Fairbanks." - Jago Collins 28th January 2021

REFERENCE

https://en.wikipedia.org/wiki/Similarity_(geometry)

https://en.wikipedia.org/wiki/Self-similarity

https://en.wikipedia.org/wiki/Comb_space

CROSSREFS

Adjacent-numbered pages:
BP1093 BP1094 BP1095 BP1096 BP1097  *  BP1099 BP1100 BP1101 BP1102 BP1103

EXAMPLE

A circle with a circle cut out of it does not fit left, because with the circle cut out of it, our shape is no longer a circle.

KEYWORD

stub, precise, allsorted, left-narrow, perfect, infinitedetail

CONCEPT self-reference (info | search)

AUTHOR

Jago Collins

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