A 20-sided die from Roman times.
MAT 160 Mathematical Problems and Games
Some mathematical card tricks:
1. Mulcahy: Nos. 2, 3, 4, 5, 7 (6 done in class)
2. The Wizard's Clock.
HW 1 (for 02/02)
Students were assigned a trick to prepare. (Some tricks required two). Please be sure to understand the math!
|Feb 2|| Homework 2
|Feb 9||Homework 3|
|Feb 16||Be prepared for a quiz on "down-under" dealing and on NIM. No written homework.|
|Feb 23||Cretan-type mazes. See "Build your own labyrinth"||Devise an original 12-level Cretan-type labyrinth, draw it in rectangular form and if possible in rolled-up form. (Hand in).|
|Mar 2||Counting mazes, Catalan numbers||Homework 5|
|Mar 9||Catalan numbers, Pigeonhole principle||Homework 6|
|Mar 16||Parity, Topology principle||Homework 7|
|Mar 23||Graphs||Homework 8: write out the arguments that show that K(3,3) and K(5) are not planar. Show that K(5) can be embedded in the graph of edges of the tesseract (4D-cube) and that this graph is also non-planar.|
|Apr 6||Infinite sums I||(no homework this week).|
|Apr 13||Infinite sums II||Homework 9|
|Apr 20||Problems and paradoxes with probability||Homework 10|
|Apr 27||Problems and paradoxes with logic||Homework 11|