Tshirt History

Beginning with the 15th annual contest in 2001, Westmont has given complimentary Tshirts to participating students and teachers. Following is a depiction of the designs used each year. The designs are meant to connect with the number of years the contest has run.

2001—15th Annual Contest A combinatorial identity.

2002—16th Annual Contest A hypercube with its 16 vertices.

2003—17th Annual Contest Gauss’ construction of a regular 17gong.

2004—18th Annual Contest A Celtic knot with 18 crossings.

2005—19th Annual Contest Front: a design illustrating that 19 is a hexagonal number.

2005—19th Annual Contest Back: a formula for H_{n}, the n^{th} hexagonal number, with H_{2} = 19.

2006—20th Annual Contest Front: a net for an icosahedron.

2006—20th Annual Contest Back: an icosahedron and a formula for its volume.

2008—21st Annual Contest Binet’s formula for Fibonacci numbers gives F_{8} = 21.

2009—22nd Annual Contest Maximum number of pieces when cutting a pizza 6 times = 22.

2010—23rd Annual Contest Relation between 23, e, and π; a skeletal proof showing why π^{e} < e^{π}.

2011—24th Annual Contest A Cayley graph depicting α and β as generators of S_{4}, which has 24 elements.

2012—25th Annual Contest Prime factorization reveals that only perfect squares have an odd number of factors.

2013—26th Annual Contest Front: a net for a rhombicuboctahedron.

2013—26th Annual Contest Back: a rhombicuboctahedron with its 26 faces. Here is a video demo that creates a rhombicuboctahedron from its net.

2014—27th Annual Contest A cube (volume = 27) progresses towards a Menger sponge (fractal dimension ≈ 2.7).

2016—28th Annual Contest Euclid’s Proposition IX.36, with n=3, implies that 28 is a perfect number. For a more detailed explanation of the Tshirt, click here.

2017—29th Annual Contest Maximum number of pieces when cutting a pizza 7 times = 29. For a more detailed explanation of the Tshirt, click here.

2018—30th Annual Contest 30 is a square pyramidal number: it is the sum of the first four squares. For a more detailed explanation of the Tshirt, click here.
