View Proposal #118
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| ID | 118 |
|---|---|
| First Name | Charles |
| Last Name | Jepsen |
| Institution | Grinnell College |
| Speaker Category | faculty |
| Title of Talk | Equidissections of Trapezoids |
| Abstract | Denote by T(a) the trapezoid with vertices (0,0), (1,0), (0,1), (a,1). We are interested in dissections of T(a) into triangles of equal areas (i.e., equidissections of T(a)). What numbers of triangles are possible? We answer this question for certain infinite collections of trapezoids where a has the form a = p + q*sqrt(d). These results lead to a conjecture as to what might be true for all such values of a . |
| Subject area(s) | Geometry |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | N |
| Bringing a laptop? | N |
| Overhead Needed? | Y |
| Software requests | |
| Special Needs | |
| Date Submitted | 3/1/2005 |
| Year | 2005 |