 Copyright 20112017. All Rights Reserved.
Twitter Updates
 RT @benorlin: https://t.co/KG9YfM6vFk 1 month ago
 RT @panlepan: Last one for tonight! 🚣♀️ https://t.co/UWiAyvcxD8 2 months ago
 ICYMI, my take on ultralong bonds and managing UST debt, in @FTAlphaville twitter.com/SmithWinthrop/… 2 months ago
 RT @scienmag: John V. Muntean has a Ph.D. in Chemistry and works as a spectroscopist in a laboratory but still finds time to play with LEGO… 2 months ago

Recent Posts
 My Letter to the Wall Street Journal
 Quarter the Cross: An Elegant Construction
 Quarter the Cross
 My FT Alphaville Commentary on Managing U.S. Treasury Debt
 NAMA in NOLA
 Taming Premium Bonds
 Fifth Annual Municipal Finance Conference
 Generating Sitemap Links with Excel
 Spaghetti Puzzle #1
 A Mathematician’s New Year’s Resolutions
Top Posts & Pages
 Fast Formulas #1: Average Life of Mortgage (as Scheduled)
 Fast Formulas #3: The Spreadsheet
 Puzzle #2: Weighted Average LTV
 Fast Formulas #3: Pool Average Life with CPR Prepayments
 Good Fences Make Good Spreadsheets, Part 1
 Fast Formulas #2: Average Life of Mortgage (Amortizing with Balloon)
 Tables vs. Fences
 Puzzle #3: A Better Answer
 Fast Formulas #5: QuasiGeometric Series (The Other Trick)
 Puzzle #9 (Followup): Binary Sudoku and the Limits of Visualization
Recent Comments
My Letter to the Wal… on The National Debt is Closer th… Bob Rosinsky on Quarter the Cross Win Smith on Fast Formulas #1: Average Life… Win Smith on Quarter the Cross Bob Rosinsky on Quarter the Cross Mohammed Mustafa on Fast Formulas #1: Average Life… Win Smith on Fast Formulas #2: Average Life… Tianhang on Fast Formulas #2: Average Life… Win Smith on NAMA in NOLA Win Smith on NAMA in NOLA Categories
Archives
Tag Cloud
Average Life Formula Benjamin T. Solomon Big Data Bond Math Bond Math Puzzle Bond Puzzle Brandeis University Brookings Institution Calculus Calendar Puzzle Callable Premium Bonds Carmen Reinhart Christmas Trees Closed Formula Conferences Cool Graphs Derivative Excel Tables Fast Formulas Federal Reserve Finance Math Puzzle Financial Math Floating Rate Debt FRNs GARP Geometric Series Gravitation Halton Sequence Humor Innovations Interest Rate Risk Japan Johann Sebastian Bach Ken Rogoff Loan Average Life Marc Faber Math MATLAB Matt Henderson MortgageBacked Securities Municipal Bonds Municipal Finance Conference Optimization Physics Pi Day Precious Metals Prime Numbers Public Debt Pure Math Puzzle Puzzle #1 Puzzle #2 Puzzle #3 QuasiGeometric Series Quasirandom Quotes QWAFAFEW Representing Numbers Seeking Alpha Space Travel Spreadsheet Tips Talks TED Talks The Bond Buyer Thomas Herndon Treasury Debt Treasury Floaters Tsunami U.S. Treasury U.S. Treasury Debt UC Denver volunteerAKITA Weighted Average Life Weighted Average LTV Weighted Average MaturityBlogroll
Consultants
Father/Daughter Math Adventures
LinkedIn
My Company
Recommended Music
Tumblr
Meta
Category Archives: Math
Quarter the Cross: An Elegant Construction
Last month, I presented an infinite pattern of nested crosses as a response to the #QuarterTheCross challenge on Twitter. The idea is to find interesting ways to shade onequarter of the area of the cross built from five squares.Now David Butler, a math lecturer … Continue reading
Quarter the Cross
Yesterday, I noticed that some of the math teachers I follow on Twitter were challenging their students, and themselves, with the #quarterthecross problem. The problem is simply to find interesting regions of a fivesquare cross that take up exactly onequarter of … Continue reading
Happy 5 2 0 1!
Last year, in Happy 0 0 1 0 0 1 0 0 0 0 1!, I discussed an interesting way to represent numbers based on their prime factorization. For example, 63 is represented by 0 2 0 1 because 63 = 20 … Continue reading
Fast Formulas #6: Finding the Time
The Fast Formulas on this blog provide shortcut calculations for financial instruments such as mortgages and bonds. Most formulas involve the symbol n to represent the number of periods (e.g. years or months) until the end of the instrument. Usually … Continue reading
Posted in Bonds, Fast Formulas, Math
Tagged Bond Math, Fast Formulas, Math, Mortgage Math, Time Value of Money
2 Comments
A Mathematical Family Tree
I am delighted by what I just learned about my mathematical family tree. It started with this tweet by scientist and writer Paul Halpern: More than 120,000 mathematicians can trace their scholarly heritage back to Byzantine thinker Manuel Bryennios: http://t.co/ejlzX2AO3K … Continue reading
Posted in Fun, Math
Tagged H.S.M. Coxeter, Mathematics Genealogy Project, Nicolo Tartaglia, Roger Penrose, William Shaw
Leave a comment
Happy 0 0 1 0 0 1 0 0 0 0 1!
Most systems for representing numbers are a combination of the visible and invisible. In the familiar baseten system, we represent numbers by linking visible digits to an invisible scaffold of powers of ten. For example, 534.08 implies the respective multiplication … Continue reading
Posted in Fast Formulas, Math, Music
Tagged Fundamental Theorem of Arithmetic, Prime Numbers, Pure Math, Representing Numbers, WellTempered
3 Comments
Puzzle #9 (Followup): Melting Fractals
The song “Let it Go” from the movie Frozen celebrates “frozen fractals.” I suppose a frozen fractal is something like the Koch snowflake. Lately, though, one of my puzzles has made me more interested in melting fractals. The challenge of Puzzle … Continue reading
Posted in Fun, Graphic Presentation, Math, Puzzles, Visualization
Tagged Big Data, Fractals, Latin Hypercube Sampling, Latin Squares, MATLAB, Sierpinski Tetrahedron
2 Comments