### Mathematics Teacher

#### Geometry Bibliography: Dissection Problems

Hubert Ludwig, Ball State University

 ```Mathematical Iteration through Computer Programming Mary Kay Prichard Some of the problems involved are geometry related. Cutting figures, diagonals of a polygon, figurate numbers. (86, 1993) 150 - 156 Picture Play Leads to Algebraic Patterns Millie J. Johnson Sharing Teaching Ideas. Dissection of squares and cubes to picture algebraic identities. (86, 1993) 382 - 383 Symmetries of Irregular Polygons Thomas W. Shilgalis Investigating bilateral symmetry in irregular convex polygons. (85, 1992) 342 - 344 The Rug-cutting Puzzle John F. Lamb, Jr. Comments on a familiar dissection paradox. 80, (1987) 12 - 14. Geometric Proofs Of Algebraic Identities Virginia M. Horak and Willis J. Horak Most of the proofs are accomplished using dissections. 74, (1981) 212 - 216. A Different Look At pi r*r William D. Jamski Dividing a circle into n congruent sectors, then reassembling them to form a "quadrilateral". 71, (1978) 273 - 274. Tetrahexes Raymond E. Spaulding Activities involving congruence and symmetry. 71, (1978) 598 - 602. Tangram Mathematics Activities involving area relationships. 70, (1977) 143 - 146. Problem Number 10 George Lenchner Finding the area of a quadrilateral derived from a right triangle. 67, (1974) 608 - 609. More About Triangles With The Same Area and The Same Perimeter Donavan R. Lichtenberg A method for decomposing a triangle having a given perimeter and area into another having the same perimeter and area. 67, (1974) 659 - 660. The Classical Cake Problem Norman N. Nelson and Forest N. Fisch Slicing a cake so that each piece contains the same volume of cake and of frosting. 66, (1973) 659 - 661. Applications Of The Theorem Of Pythagoras In The Figure-Cutting Problem Frank Piwnicki Dissection of squares and rectangles. 55, (1962) 44 - 51. A Further Note On Dissecting A Square Into An Equilateral Triangle Chester A. Hawley Using only three cuts. 53, (1960) 119 - 123. Four More Exercises In Cutting Figures Mathematics Staff - University of Chicago Four dissection problems and their solutions. 51, (1958) 96 - 104. An Observation On Dissecting The Square Chester W. Hawley A classroom use for a dissection. 51, (1958) 120. New Exercises In Plane Geometry Mathematics Staff - University of Chicago Dissection problems. 50, (1957) 125 - 135. More New Exercises In Plane Geometry Mathematics Staff - University of Chicago Dissections. 50, (1957) 330 - 339. A Problem On The Cutting Of Squares Mathematics Staff - University of Chicago Two dissection problems. 49, (1956) 332 - 343. More On The Cutting Of Squares Mathematics Staff - University of Chicago Four dissection problems. 49, (1956) 442 - 454. Still More On The Cutting Of A Square Mathematics Staff - University of Chicago Any convex polygon is equivalent to a square. 49, (1956) 585 - 596. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ ```