在幾何學中,克利多胞形(Kleetope)是多面體的一個類別,是描述一個多面體或更高維度的多胞體,它的面或胞被另一種多面體、錐體替換而產生的幾何圖形[1]。美國數學家Victor Klee[2]最先描述它們並命名為Kleetope[3],目前其中文名稱還沒有共識,但命名通常視情況而定,例如在多面體中會議被套用之面之邊數命名,如套用於四面體上稱為三角化四面體。
三角化四面體是四面體經克利變換的像、三角化八面體是八面體經克利變換的像、還有三角化二十面體是二十面體經克利變換的像。在上述每種情況下形成的克利多胞形都是在原始多面體的每個面加入一個三角錐。
- Jendro'l, Stanislav; Madaras, Tomáš, Note on an existence of small degree vertices with at most one big degree neighbour in planar graphs, Tatra Mountains Mathematical Publications, 2005, 30: 149–153, MR 2190255.
- Goldner, A.; Harary, F., Note on a smallest nonhamiltonian maximal planar graph, Bull. Malaysian Math. Soc., 1975, 6 (1): 41–42.
- See also the same journal 6(2):33 (1975) and 8:104-106 (1977). Reference from listing of Harary's publications(页面存档备份,存于互联网档案馆).
- Grünbaum, Branko, Unambiguous polyhedral graphs, Israel Journal of Mathematics, 1963, 1 (4): 235–238, MR 0185506, doi:10.1007/BF02759726.
- Grünbaum, Branko, Convex Polytopes, Wiley Interscience, 1967.
- Moon, J. W.; Moser, L., Simple paths on polyhedra, Pacific Journal of Mathematics, 1963, 13: 629–631 [2013-02-14], MR 0154276, (原始内容存档于2016-03-04).
- Plummer, Michael D., Extending matchings in planar graphs IV, Discrete Mathematics, 1992, 109 (1–3): 207–219, MR 1192384, doi:10.1016/0012-365X(92)90292-N.
Gritzmann, Peter; Sturmfels, Bernd. Victor L. Klee 1925–2007 (PDF). Notices of the American Mathematical Society (Providence, RI: American Mathematical Society). April 2008, 55 (4): 467–473 [2013-02-14]. ISSN 0002-9920. (原始内容存档 (PDF)于2012-10-10).
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