by mcsteve | Aug 6, 2018 | Uncategorized

Dr. Bisson recommended looking at the following: https://en.m.wikipedia.org/wiki/Distance_geometry_problem It mentions an interesting problem (DGP). Given six points, A, B, C, D, E, F, we can ask some questions: are there six edge lengths for a possible degenerate...
by Terrence Bisson | Jul 20, 2018 | Uncategorized

I will be posting something about Heron’s formula for the area of a triangle, and Tartaglia’s formula for the volume of a tetrahedron.
by Terrence Bisson | Jul 5, 2018 | Uncategorized

In the first draft of this post, from July 5, I suggested a project to study configurations in space of a ring made of four sticks of known lengths. But in talking with McSteve we realized that the project was really best thought of in terms tetrahedra, so I am...
by Terrence Bisson | Jun 14, 2018 | Uncategorized

Project 1: The tetrahelix turns out to be a sequence of points H(n)= (r cos(theta n),r sin(theta n), m n) on a helix, where the constants r, theta, m should be determined by the requirement that each edge of the tetrahedron H(n) H(n+1) H(n+2) H(n+3) has length 1. ...
by Terrence Bisson | Jun 8, 2018 | Uncategorized

K. Walker, Configuration spaces of linkages, undergrad.thesis, princeton 1965 http://canyon23.net/math/ Kevin Walker’s post of thesis says error in proof of 3.3, see Hausmann, sur la topologie des bras articules ’89 (I have a photocopy) +++...
by Terrence Bisson | May 31, 2018 | Uncategorized

Some references to gluing together tetrahedra. J. H. Mason, Can regular tetrahedra be glued together face to face to form a ring? Math. Gaz., 56 (1972), 194-197. S. K. Stein, The Planes Obtainable by Gluing Regular Tetrahedra. The American Mathematical Monthly, Vol....
by Terrence Bisson | May 30, 2018 | Math Discussions

Some things to look at: (including two books in the Canisius Library) 0. On EASEL: Meera Sitharam: sitharam@cise.ufl.edu https://www.cise.ufl.edu/~sitharam/bio.html she gave a talk at Canisius several years ago on modular assembly of biological structures. An...
by Terrence Bisson | May 30, 2018 | Math Software

from What’s New in 2.0: Roles and Capabilities Dec 1 by Ryan Boren. I accessed it in January 2013… wordpress roles and capabilities: Each role has a set of capabilities. my file OnWordPressRoles five roles: Subscriber, Contributor, Author, Editor, and...
by Terrence Bisson | Feb 13, 2017 | Math Seminar

A Math Seminar Short Talk by Dr. Terrence Bisson, 2pm Wednesday, February 15, 2017 Abstract: The geometry of regular polynons is related to questions in trigonometry, complex numbers, and polynomial equations. I will discuss how roots of unity give a way of finding...
by jenivettegarcia | Dec 7, 2016 | Math Seminar

My talk for Wednesday December 7th will be about the history of trigonometry along with some mathematicians associated with trig, and how trigonometry can be used in Astronomy. By reading the article by Herb Silverman called, Trigonometric Identities through...