Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

The Pentagon Problem: Geometric Reasoning with Technology Rose Mary Zbiek Area ratios for a pentagon inscribed in a pentagon inscribed in a pentagon. (889, 1996) 86 - 90 Perimeters, Patterns, and Pi Sue Barnes Areas and perimeters of inscribed and circumscribed regular polygons. (889, 1996) 284 - 288 Morgan's Theorem Tad Watanabe, Robert Hanson, and Frank D. Nowosielski Investigating the area of a hexagon formed in the interior of a triangle by certain n- sectors of the angle. (889, 1996) 420 - 423 Pentagrams and Spirals Lew Douglas Activities eventually leading to the Golden Ratio. (889, 1996) 680 - 687 Golden Triangles, Pentagons, and Pentagrams William A. Miller and Robert G. Clason Informal investigations of recursion. The golden ratio, Fibonnaci sequence, regular polygons, and pentagrams. (87, 1994) 338 - 344, 350 - 353 Counting Embedded Figures Timothy V. Craine Activities. How many triangles, squares, rectangles, etc., are there in a given figure? (87, 1994) 524 - 528, 538 - 541 Animating Geometry Discussions with Flexigons Ruth McClintock A flexigon is created by stringing together plastic straws of varying lengths in a closed loop. These tools are then used to investigate the geometry of polygons. (87, 1994) 602 - 606 Folding n-pointed Stars and Snowflakes Steven I. Dutch Methods for accomplishing the task. (87, 1994) 630 - 637 Starring in Mathematics Donald M. Fairbairn Activities for studying n-grams. (84, 1991) 463 - 470 Octagons at Monticello Peggy Wielenberg Geometry of octagons. Jefferson's construction of three sides of an octagon on a segment of fixed length. (83, 1990) 58 - 61 Polygonal Numbers and Recursion William A. Miller Activities for studying recursion utilizing polygonal numbers. (83, 1990) 555 - 562 Polygons Made to Order Joseph A. Troccolo Activities for producing accurate regular polygons with specified side lengths. 80, (1987) 44 - 50. Finding the Area of Regular Polygons William M. Waters, Jr. Finding the ratio of the area of one regular polygon to that of another when they are inscribed in the same circle. 80, (1987) 278 - 280 Revisiting the Interior Angles of Polygons Herbert Wills III Several approaches to calculating the sum of the interior angles of a polygon. 80, (1987) 632 - 634. Dirichlet Polygons - An Example of Geometry in Geography Thomas O'Shea Applications of Dirichlet polygons, including homestead boundaries and rainfall measurement. 79, (1986) 170 - 173. The Twelve Days of Christmas and the Number of Diagonals in a Polygon Adrian McMaster Notes a relation between the number of gifts received on a particular day and the diagonals in a polygon. 79, (1986) 700 - 702. Regular Polygons and Geometric Series Areas and inscribed regular polygons. 75, (1982) 258 - 261. Area and Cost Per Unit: An Application Jan J. Vandever Activities for use in practice with area formulas. 73, (1980) 281 - 284, 287. Getting The Most Out Of A Circle Joe Donegan and Jack Pricken Polygons determined by six equally spaced points on a circle. 73, (1980) 355 - 358. Graphing - Perimeter - Area Merrill H. Meneley Activities concerned with the perimeter and area of polygons. Uses a coordinate system. 73, (1980) 441 - 444. Some Properties Of Regular Polygons William Jamski Activities involving angle sums of polygons. Some work with diagonals. 68, (1975) 213 - 220. Area Ratios In Convex Polygons Gerald Kulm Area ratios when one regular n-gon is derived from another using division points of sides. 67, (1974) 466 - 467. Some Whimsical Geometry Jean Pederson Polygon construction by paper folding. 65, (1972) 513 - 521. An Intuitive Approach To Pierced Polygons Donald E. Jennings Polygons which have certain sides coincident. 63, (1970) 311 - 312. Polygon Sequences John E. Mann Polygons formed from the midpoints of sides of polygons. 63, (1970) 421 - 428. Pierced Polygons Charles E. Moore Regions formed when a polygonal region is cut from the interior of another polygonal region. Some angle relations. 61, (1968) 31 - 35. Conditions Governing Numerical Equality Of Perimeter, Area and Volume Leander W. Smith Triangles, general polygons, polyhedra. 58, (1965) 303 - 307. Concave Polygons Roslyn M. Berman and Martin Berman Finding angle sums. 56, (1963) 403 - 406. Regular Polygons Robert C. Yates Complex numbers and regular polygons. 55, (1962) 112 - 116. Teaching The Concept Of Perimeter Through The Use Of Manipulative Aids Jen Jenkins Title tells all. 50, (1957) 309 - 310. The Pentagon and Betsy Ross Phillip S. Jones Folding a five pointed star. 46, (1953) 341 - 342. The Sum Of The Exterior Angles Of Any Polygon Is 360 degrees George R. Anderson A demonstration device. 45, (1952) 284 - 285. The Geometry Of The Pentagon and The Golden Section H. v. Baravalle Synthetic and analytic approaches. Some history. 41, (1948) 22 - 31. Ptolemy's Theorem and Regular Polygons L. S. Shively Proof and applications. 39, (1946) 117 - 120. Linkages As Visual Aids Bruce E. Meserve Polygonal models. 39, (1946) 372 - 379. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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