Here they are.

# the 3d Pythagorean Theorem

(It’s just a double application of the 2d Pythagorean Theorem, but it’s worth noting explicitly.)
Here’s the scoop.
keywords: Mathematics, Geometry, diagonal, rectangular prism

# lorem ipsum

Placeholders are the demigods of logistics.
keywords: utility, savings

# points of intersection

Finding points of intersection undergirds much of mathematical work.
keywords: Mathematics, pattern, big picture, observation

# How many 2-digit positive integers are there such that the product of their digits is 24?

Here’s the scoop.
keywords: Mathematics, Number Theory, easy problem

# easy problem about a 2-digit positive integer

If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 27. By how much do the two digits differ?
Here’s the scoop.
keywords: Mathematics, Number Theory

# the 2-digit positive integers problem

Each of x, y, and z is a 2-digit positive integer (in base ten), and:
1) 4x + y – 19z = 0
2) 2x + y – 14z = 0
Solve for x.
This problem (stated in terms of a, b, and c, and with base ten merely presumed), is on the web, among a set of tournament problems.
Here is the set of tournament problems (as a pdf file).
keywords: Mathematics, Number Theory, challenge

# what some say is the greatest ever scene from ‘The Mentalist’

Here it is.
(might say, “Five of a kind beats a full house.” Five of a kind is possible only when you have a joker, and it is part of Patrick Jane’s back-story that he was dealt a joker.)
keywords: disguise, act, idiot, Moby Dick, circle-logic (“An idiot, or…”), best scene, greatest scene

# online triangle calculator

Here it is.
keywords: Mathematics, Trigonometry, angles, formulas, area