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  2. Symmetry in biology - Wikipedia

    en.wikipedia.org/wiki/Symmetry_in_biology

    Spherical symmetry is characterised by the ability to draw an endless, or great but finite, number of symmetry axes through the body. This means that spherical symmetry occurs in an organism if it is able to be cut into two identical halves through any cut that runs through the organism's center.

  3. Divide and choose - Wikipedia

    en.wikipedia.org/wiki/Divide_and_choose

    Divide and choose (also Cut and choose or I cut, you choose) is a procedure for fair division of a continuous resource, such as a cake, between two parties. It involves a heterogeneous good or resource ("the cake") and two partners who have different preferences over parts of the cake (both want as much of it as possible).

  4. Coronal plane - Wikipedia

    en.wikipedia.org/wiki/Coronal_plane

    For a human, the mid-coronal plane would transect a standing body into two halves (front and back, or anterior and posterior) in an imaginary line that cuts through both shoulders. The description of the coronal plane applies to most animals as well as humans even though humans walk upright and the various planes are usually shown in the ...

  5. Sagittal plane - Wikipedia

    en.wikipedia.org/wiki/Sagittal_plane

    Examples of sagittal planes include: The terms median plane or mid-sagittal plane are sometimes used to describe the sagittal plane running through the midline. This plane cuts the body into halves (assuming bilateral symmetry), [3] passing through midline structures such as the navel and spine.

  6. Analogy of the divided line - Wikipedia

    en.wikipedia.org/wiki/Analogy_of_the_Divided_Line

    In The Republic (509d–510a), Socrates describes the divided line to Glaucon this way: . Now take a line which has been cut into two unequal parts, and divide each of them again in the same proportion, [1] and suppose the two main divisions to answer, one to the visible and the other to the intelligible, and then compare the subdivisions in respect of their clearness and want of clearness ...

  7. Fair cake-cutting - Wikipedia

    en.wikipedia.org/wiki/Fair_cake-cutting

    For two cakes, they prove that an EF allocation may not exist when there are 2 agents and each cake is cut into 2 pieces. However, an EF allocation exists when there are 2 agents and one cake is cut into 3 pieces (the least-wanted piece is discarded), or when there are 3 agents and each cake is cut into 2 pieces (one agent is ignored; the ...

  8. Cutting - Wikipedia

    en.wikipedia.org/wiki/Cutting

    Cutting is the separation or opening of a physical object, into two or more portions, through the application of an acutely directed force. Implements commonly used for cutting are the knife and saw, or in medicine and science the scalpel and microtome.

  9. Ham sandwich theorem - Wikipedia

    en.wikipedia.org/wiki/Ham_sandwich_theorem

    A ham sandwich. The ham sandwich theorem takes its name from the case when n = 3 and the three objects to be bisected are the ingredients of a ham sandwich.Sources differ on whether these three ingredients are two slices of bread and a piece of ham (Peters 1981), bread and cheese and ham (Cairns 1963), or bread and butter and ham (Dubins & Spanier 1961).

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