George W. Hart --- Index
A First Course in Linear Algebra (A Free Textbook)
Open-Source Textbooks Instead I am concentrating recommendations and examples within the undergraduate mathematics curriculum, so please visit the Open Math Curriculum page. If you are linking to this site, please use that page for a broad list, or link to linear.pugetsound.edu specifically for the Linear Algebra text. This page contains some links to similar open-source textbooks. Free Textbooks Abstract Algebra: Theory and Applications, by Thomas W. Freedom Some thoughts on open-content, intellectual property, open-source software and books.The Economy of Ideas An essay on intellectual property, copyright and digital media. Sources of Open-Content Textbook Revolution Careful capsule descriptions of free textbooks in many disciplines. Licensing Open-Content Free Software Foundation GNU licenses, popular for software projects.
Harmonograph
A harmonograph output A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves, or related drawings of greater complexity. A simple, so-called "lateral" harmonograph uses two pendulums to control the movement of a pen relative to a drawing surface. More complex harmonographs incorporate three or more pendulums or linked pendulums together (for example hanging one pendulum off another), or involve rotary motion in which one or more pendulums is mounted on gimbals to allow movement in any direction. A particular type of harmonograph, a pintograph, is based on the relative motion of two rotating disks, as illustrated in the links below. Computer-generated harmonograph figure[edit] A harmonograph creates its figures using the movements of damped pendulums. in which represents frequency, represent phase, represent amplitude, represents damping and represents time. Gallery[edit] See also[edit] Spirograph Notes[edit]
The KnotPlot Site
What's Special About This Number?
What's Special About This Number? If you know a distinctive fact about a number not listed here, please e-mail me. primes graphs digits sums of powers bases combinatorics powers/polygonal Fibonacci geometry repdigits algebra perfect/amicable pandigital matrices divisors games/puzzles 0 is the additive identity . 1 is the multiplicative identity . 2 is the only even prime . 3 is the number of spatial dimensions we live in. 4 is the smallest number of colors sufficient to color all planar maps. 5 is the number of Platonic solids . 6 is the smallest perfect number . 7 is the smallest number of sides of a regular polygon that is not constructible by straightedge and compass. 8 is the largest cube in the Fibonacci sequence . 9 is the maximum number of cubes that are needed to sum to any positive integer . 10 is the base of our number system. 11 is the largest known multiplicative persistence . 12 is the smallest abundant number . 13 is the number of Archimedian solids . 17 is the number of wallpaper groups .
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Geometry Expressions -- Home
FRACTAL Sequencing and animation MACHINE
The shape you see is the combined output of the controls below. Mouse over them to see what they do. If the page gets too slow, turn some of the parameters down. Press H or ~ to hide the controls. Find out more in this blog post. This slider changes the first and last angles of the motif. Skew the motif asymmetrically. Set the number of times each line is substituted for the motif. Segment the motif into more or fewer pieces of equal length. Change the base shape the fractal is drawn on. Add lines that stick out from the motif's corners. Mirror the motif at every level of the fractal.
January 2013
In order to read the updated and more complete version of this post click here:Parashah VaEra and Bo “Every first-born in Egypt will die...” [Please read the essential constructs in the right column. They provide the information necessary to understand the posts. If you are new to this blog, you may wish to start with the earliest post to see the progression in the sequence of events] VaEra and Bo will be combined because they both deal with the plagues in Egypt. Pharaoh was the great pretender. The next warning however is somewhat different in that Moses went to Pharaoh directly in his home in order to provide him with warning. The third "warning” was still different, in that there was no warning for the coming plague at all. In these first 3 plagues we see a pattern. The 4th, 5th and 6th plague repeat the same pattern. As you might suspect, this pattern continues through the next set of plagues. Interesting pattern! The 10th plague was the death of the first born. (two (twin) tablets)
