**Geometry Scavenger Hunt Claims**

- *A quasi-crystal. Johnson (1/2), Williamson (1/2)
- *A virus for the ``common cold.'' Williamson (1)
- *The Witch of Agnesi. Ball (1), Rice (0)
- *A dissection of a square into four pieces that can be reassembled into an equilateral triangle. Avery (1).
- *The text of ``The Kiss Precise.'' Ball (1)
- *A painting by Dali that contains a dodecahedron. Glass (1)
- *A painting by Dali that contains an unfolded hypercube. Brown (1)
- *The mathematical name of a soccer ball. Rice (1)
- An improperly drawn soccer ball from the popular media.
- *The number of configurations of Rubik's cube. Brown (1/2), Tucker (1/2)
- *A Chinese Rings puzzle. Bechtold (1/2), Wilcox (1/2).
- *A hexaflexagon. Farquhar (1), Rice (0)
- *A set of Soma Cubes. Johnson (1)
- *Three works by Escher depicting impossible geometric figures. Tucker (1)
- A flower with 3-fold symmetry. Similarly with 4-, 5-, 6-, 7-, 8-, 9-, and 10-fold symmetry.
- *A set of pentominoes. Johnson (1)
- *A Borromean rings configuration and the name of the beer company with which it is associated. Bechtold (1/2), Copley (1)
- The formula for the number of ways of triangulating a convex polygon.
- *A two-foot piece of string and a can containing three tennis balls. Scott (1)
- *A cube cut in half with a single slice yielding a regular hexagonal cross-section. Copley (1/2), Scott (1/2)
- *A regular tetrahedron cut in half with a single slice yielding a regular square cross-section. Copley (1).
- *A work by Escher containing glide-reflectional symmetry. Williamson (1)
- *A pantograph. Johnson (1)
- *The name of the shape of the St. Louis arch. Ball (1/2), Brown (1/2)
- Pictures of buildings with 3-, 4-, 5-, 6-, 7-, 8-, 9-, and 10-fold symmetry.
- *A Penrose tiling. Ball (1)
- *The quadratrix of Hippias. Ball (1)
- A curve whose dimension lies strictly between 1 and 2.
- *A work by Escher depicting a tiling of the hyperbolic plane. Bechtold (1/2), Wilcox (1/2).
- *A tensegrity structure. Johnson (1/2), Rice (0), Williamson (1/2)
- *A map of the earth drawn before 1000 AD. Williamson (1)
- *Morley's theorem. Ball (1)
- *The inscription on Archimedes' tomb. Brown (1/2), Glass (1/2), Rice (0)
- *Kepler's conjecture regarding Platonic solids and planets. Johnson (1), Rice (0)
- *A non-round manhole cover. Williamson (1)
- An important geometric problem that has been solved recently.
- *A method of constructing a regular pentagon with compass and straight-edge. Rice (1)
- *A theorem sometimes attributed to Napoleon. Ball (1), Rice (0)
- A table of chords from the
*Almagast.* - *The Banach-Tarski paradox. Ball (1/2), Mielec (1/2)
- *The shape of a cell in a honey-bee comb, including the back end. Bechtold (1/2), Wilcox(1/2)
- A dragon design.
- *A picture of Alexander's horned sphere. Glass (1/2), Johnson (1/2)
- Where to place eight moonbases on the moon in order to keep them mutually as far apart as possible.
- The location of an exhibit which demonstrates the focusing property of an ellipsoid.
- The maximum number of regions into which space can be cut with seven planes.
- Five geometric figures with religious significance.
- *A picture made with a Spirograph. Valencia (1)
- A ruled surface.
- *The name of the individual who spent ten years on the construction of the regular polygon with 65537 sides, and where his manuscript is to be found. Rice (1)
- *A Voronoi diagram. Mielec (1)
- *Seven regions on a torus, each pair being somewhere adjacent. Bechtold (1/2), Wilcox (1/2).
- *A planimeter. Farquhar (1/3), Johnson (1/3), Tucker (1/3)
- *A nine-point circle. Tucker (1)
- *The tractrix. Brown (1/4), Glass (1/4), Johnson (1/4), Tucker (1/4)
- *The four-dimensional regular solids. DeWees (1)
- *The shape of a sliding board giving the fastest slide. Copley (1).
- *A dissection of a cube into three congruent square-base pyramids. Copley (1).
- A dissection of a cube into five tetrahedra, one of which is regular.
- *A dissection of a cube into six tetrahedra. Copley (1).
- *The smallest torus you can make using only equilateral triangles. Bechtold (1/2), Wilcox (1/2).
- A description of suitable shapes for swords and their scabbards.
- *Verses in the Bible suggesting that equals 3. Mielec (1), Rice (0)
- *States in which the government has tried to legislate the value of . Tucker (1)
- *The curve described by a point on the rim of a wheel of a moving train. Scott (1/2), Bechtold (1)
- *A Towers of Hanoi puzzle. Glass (1/2), Johnson (1/2)
- *The Argand plane. Rice (1)
- Seven strip patterns (e.g., used as border patterns around the top of a room) with different kinds of symmetry.
- *Peaucellier's inversor linkage. Rice (1)
- *A loxodrome. Rice (1)
- *A drill that makes a square hole. Johnson (1)
- The formulas for the four-dimensional volume and the three-dimensional surface area of a four-dimensional ball.
- *The volume of the region common to two pipes of equal radius intersecting at right angles. Copley (1)
- *The number of vertices, edges, squares, and cubes in a hypercube. Williamson (1)
- *The curve describing the motion of the earth about the sun. Valencia (1)
- *The reason we have seasons. Glass (1/2), Williamson (1/2)
- *A glissette. Rice (1)
- A space-filling Archimedean solid.
- A space-filling Archimedean dual.
- *A pair of enantiomorphic objects. Bechtold (1)
- *A Mascheroni construction. Rice (1)
- *The U.S. patent numbers for the Möbius strip. Avery (1/2), Tucker (1/2)
- A model of a flexible sphere.
- *An art gallery theorem. Dewees (1/2), Johnson (1/2)
- *A golden rectangle appearing in architecture. Dewees (1/2), Scott (1/2)
- *A plant that displays two terms in the Fibonacci sequence. Scott (1)
- *A pentagon that tiles the plane. Dewees (1)
- *The statement of the Delian problem. Rice (1)
- How to trisect an angle with a T-square or ``tomahawk.''
- *A published false ``proof'' of the four-color theorem. Dewees (1), Rice (0)
- Five significant problems in geometry that have not yet been solved.
- *Archimedes' method of trisecting an angle. Farquhar (1)
- *A game based on a dodecahedron invented by Hamilton. Bechtold (1/2), Wilcox (1/2).
- An infinitely long spiral which is inside the unit circle.
- *The isoperimetric problem. Johnson (1)
- *A dissection of a square into unequal squares. Bechtold (1/2), Wilcox (1/2).
- *The ham sandwich theorem. Mielec (1)
- *A three-and-a-half story Easter egg in Canada. Rice (1)
- *How to obtain a parabola by curve-stitching. Scott (1)
- *The Mandelbrot set. Ball (1/2), Bechtold (1)

Fri Dec 10 15:38:51 EST 1999