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Search: concept:rigidity
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BP993 Net corresponds do a unique solid vs. net can be folded into multiple different solids.
(edit; present; nest [left/right]; search; history)
COMMENTS

Right-sorted examples are called common nets.

CROSSREFS

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

Adjacent-numbered pages:
BP988 BP989 BP990 BP991 BP992  *  BP994 BP995 BP996 BP997 BP998

KEYWORD

stub, precise, 3d, perfect, preciseworld

CONCEPT rigidity (info | search),
3d_net (info | search),
3d_solid (info | search),
convey_enough_information (info | search)

WORLD

polyhedron_net [smaller | same | bigger]
zoom in left (polyhedron_net_unique_solid)

AUTHOR

Leo Crabbe

BP1016 Rigid vs. not rigid.
(edit; present; nest [left/right]; search; history)
REFERENCE

Henneberg, L. (1911), Die graphische Statik der starren Systeme, Leipzig

Jackson, Bill. (2007). Notes on the Rigidity of Graphs.

Laman, Gerard. (1970), "On graphs and the rigidity of plane skeletal structures", J. Engineering Mathematics, 4 (4): 331–340.

Pollaczek‐Geiringer, Hilda (1927), "Über die Gliederung ebener Fachwerke", Zeitschrift für Angewandte Mathematik und Mechanik, 7 (1): 58–72.

CROSSREFS

Adjacent-numbered pages:
BP1011 BP1012 BP1013 BP1014 BP1015  *  BP1017 BP1018 BP1019 BP1020 BP1021

KEYWORD

nice, physics, help

CONCEPT rigidity (info | search),
graph (info | search),
imagined_motion (info | search)

WORLD

planar_connected_graph [smaller | same | bigger]
zoom in left (rigid_planar_connected_graph)

AUTHOR

Aaron David Fairbanks

BP1133 Impossible to realize in 3D space vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Each unit is to be imagined as a flat rigid rod/hoop/triangle/etc.

REFERENCE

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

CROSSREFS

Similar to BP252.

Adjacent-numbered pages:
BP1128 BP1129 BP1130 BP1131 BP1132  *  BP1134 BP1135 BP1136 BP1137 BP1138

KEYWORD

precise

CONCEPT rigidity (info | search),
impossible (info | search)

AUTHOR

Leo Crabbe

BP1184 Polygon enclosed in smallest possible circle vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Intuitively, if one imagines shaking the circles in each example, the polygons in right-sorted examples could be imagined to "rattle around".

CROSSREFS

Adjacent-numbered pages:
BP1179 BP1180 BP1181 BP1182 BP1183  *  BP1185 BP1186 BP1187 BP1188 BP1189

KEYWORD

precise, allsorted, dithering

CONCEPT rigidity (info | search)

AUTHOR

Leo Crabbe

BP1296 Shapes (when viewed as physical objects confined by the bounding box) are lodged in-place vs. shapes can be moved.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1291 BP1292 BP1293 BP1294 BP1295  * 

KEYWORD

notso, physics

CONCEPT rigidity (info | search)

AUTHOR

Leo Crabbe

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