Geometric partition where pieces are connected by "hinged" points
Loop animation of hinged dissections from triangle to square, then to hexagon, then back again to triangle. Notice that the chain of pieces can be entirely connected in a ring during the rearrangement from square to hexagon.
In geometry, a hinged dissection, also known as a swing-hinged dissection or Dudeney dissection,[1] is a kind of geometric dissection in which all of the pieces are connected into a chain by "hinged" points, such that the rearrangement from one figure to another can be carried out by swinging the chain continuously, without severing any of the connections.[2] Typically, it is assumed that the pieces are allowed to overlap in the folding and unfolding process;[3] this is sometimes called the "wobbly-hinged" model of hinged dissection.[4]
^Akiyama, Jin; Nakamura, Gisaku (2000). "Dudeney Dissection of Polygons". Discrete and Computational Geometry. Lecture Notes in Computer Science. Vol. 1763. pp. 14–29. doi:10.1007/978-3-540-46515-7_2. ISBN 978-3-540-67181-7.
^Pitici, Mircea (September 2008). "Hinged Dissections". Math Explorers Club. Cornell University. Retrieved 19 December 2013.
^O'Rourke, Joseph (2003). "Computational Geometry Column 44". arXiv:cs/0304025v1.
^"Problem 47: Hinged Dissections". The Open Problems Project. Smith College. 8 December 2012. Retrieved 19 December 2013.
In geometry, a hingeddissection, also known as a swing-hingeddissection or Dudeney dissection, is a kind of geometric dissection in which all of the...
creation of new dissection puzzles is also considered to be a type of dissection puzzle. Puzzles may include various restraints, such as hinged pieces, pieces...
there is no odd equidissection of a square. Dissection puzzle Hilbert's third problem Hingeddissection Stein, Sherman K. (March 2004), "Cutting a Polygon...
accomplishments including his work on the carpenter's rule problem, hingeddissection, prefix sum data structures, competitive analysis of binary search...
tessellation in recreational mathematics. For example, Dudeney invented the hingeddissection, while Gardner wrote about the "rep-tile", a shape that can be dissected...
HingedDissections: Swinging and Twisting. Cambridge University Press. ISBN 0-521-81192-9. Frederickson, Greg N. (2006). Piano-hingedDissections: Time...
150–151, ISBN 0-671-06030-9 Frederickson, Greg N. (2006), Piano-HingedDissections, A K Peters, p. 144. The Quilting Bible, Creative Publishing International...
joint. Deep dissection. Ankle joint. Deep dissection. Ankle joint. Deep dissection. Ankle joint. Deep dissection. Ankle joint. Deep dissection. Tibia Anatomy...
Scientific. ISBN 9789812811394. Frederickson, Greg N. (26 August 2002). HingedDissections: Swinging and Twisting. Cambridge University Press. ISBN 9780521811927...
The interphalangeal joints of the hand are the hinge joints between the phalanges of the fingers that provide flexion towards the palm of the hand. There...
Daniel Kurland, who wrote, “Blood of Zeus’ first season was a fascinating dissection of not just Greek mythology, but demystifying the larger-than-life figures...
lateral condyle at 10 years. Elbow joint. Deep dissection. Anterior view. Elbow joint. Deep dissection. Anterior view. Bernard F. Morrey, Joaquin Sanchez-Sotelo...
dissection. Dorsum of Foot. Ankle joint. Deep dissection. Ankle joint. Deep dissection. Anterior view. Dorsum of Foot. Ankle joint. Deep dissection....
damage is executed by ongoing sport overload. The result is fragmentation (dissection) of both cartilage and bone, and the free movement of these bone and cartilage...
display internal organs and structures. Hinged flaps enable the viewer to see a body as if in various stages of dissection. They appeared for the first time...
can be lifted to access the lenticule. This is removed through manual dissection using a blunt spatula and forceps. ReLEx "SMILE" (Small Incision Lenticule...
surgery is typically not performed at the level of the proximal fibula, as dissection near the proximal end may risk severing the common peroneal nerve. Instead...
crematoria, when nothing more expensive has been selected, is usually a hinged, snap-locking plastic box. Cremated remains are mostly dry calcium phosphates...
the first metacarpal (Rolando's fracture). First metacarpal bone. Deep dissection. Doyle & Botte 2003, Osteology of the Thumb Metacarpal Doyle & Botte 2003...
resurrectionists frequently illegally exhumed dead bodies that were then sold for dissection as part of human anatomy training at universities, etc. Morthouses were...
used to fenestrate an intimal flap, alleviating malperfusion in aortic dissection. Pulling both ends of a guide wire in a caudally sawing motion down through...
correspond to the vertebrae, allowing these to be counted without the need for dissection. Molting (or "ecdysis") serves a number of purposes - it allows old, worn...
Jesus's future crucifixion. The beliefs of many Christian denominations hinge upon the substitutionary atonement of the sacrifice of God the Son, which...
thoroughly described. Lemony Snicket starts each book with a "post-modern dissection of the reading experience" before linking it back to how he presents the...
Global Information