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David's Math Pages |
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| David E. Dirkse |
Welcome at DavData, the website for:
board games, puzzles, math, freeware and Delphi programming
Delphi Information
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Contents
games | |
| 15-puzzle | Find strategies, solve games |
| HASHI (bridges) | logistic puzzle. Hints and solutions |
| Tectonic helper version 3 | more hints, backtracking, printing |
| Tectonic | helper for number puzzles |
| Sudoku solver | great help + game analyses |
| Futoshiki | helper and solver of these number puzzles |
| The Tower of Hanoi | a puzzle for all ages |
| Tick Tack Toe (3D) | discover the winning startegy |
| Match5 | a self-learning board game |
| Colorstacks | logistic puzzle with 7 levels |
| SHIFT | the most difficult puzzle in the world |
| Jumping Goats | puzzle for all ages |
| Connect4 | single player, 8 levels, board game with analyses |
| Nim | 9 strategic board games, easy to difficult |
| Solitaire | single player puzzles |
| Sudoku Helper - Solver | select the desired amount of help |
general | |
| About DavData | |
| My Z80 home built computer | |
| My Math and Delphi programming book | articles, programs, source code |
| A chaotic pendulum | St.Mary's church, Bristol, UK. |
| A message to visitors of the Netherlands | |
| Visit to Rome | |
| Brexit ! | |
| humour | encountered during country walks in the UK |
| recycled art | |
math | |
| the Pythagoras theorem | four very different proofs |
| Stewarts' theorem | extension of the Pythagorean lemma |
| Ptolemy's theorem | proof and application |
| Menelaus' and Ceva's theorems | plane geometry calculations |
| algebra problems collection | |
| geometry problems collection | |
| Pythagorean Triples | algebra |
| compasses and ruler constructions | basic geometry constructions with exercises + answers |
| Regular Pentagon construction | ruler & compass construction with theory |
| regular polygons | draw, investigate, use for problem solving.. |
| LCM and GCD | introduction to number theory |
| combinatorics | a short course |
| the flippo problem | calculate the probability for a complete series |
| cyclic redundancy codes | |
| a magic triangle | puzzle |
| magic squares | theory and examples |
| the grazing goat problem | trigonometric equation, numerically solved |
| circles and ellipses | translation, scaling, rotation |
| The math of epidemics | |
| difficult geometric problems | solved by rotation |
| distance of parabolas | Delphi program + analytic solution |
| basic theory of counting and coding | number theory. mod & div operators |
| Mechanics problem | trigonometry + algebra application |
| The best seat in a football stadium | geometry problem + solution |
| Hanging cable arcs calculation | explanation + Delphi program |
| The Hbot | a smart robot construction |
| How to calculate with fractions? | Includes examples |
| Newton binomium and marble boards | probabilty and gambling |
| means | arithmetic-, geometric-,harmonic means |
| the intersecting circles problem | a geometry puzzle + solution |
| Referendums | The will of the people? |
| Stemfractions | how to split a fraction into stemfractions, + program |
| The crazy circle illusion | Geometry |
| The bookmark problem | Geometry, algebra |
| Turning Radius calculation | Car or bicycle turning circle diameter |
| Introduction to Boolean Algebra | learn about AND,OR,NOT...plus examples |
| fraction ranking | calculate the rank of a fraction. Theory + Program |
| paint Lissajous curves | Graphics-Explorer makes Lissajous curves move |
| Linear Regression | find the best fitting line through a set of points |
| the Least Squares method | find the best polynomial through a set of points |
| geoproofs | geometric proofs of trigonometric identities |
| geocalc | some calculations in plane geometry |
| p calculation | calculate p using pencil and paper |
| Triangles and Sides | can these lines form a triangle? |
| Calculate square root with pencil and paper | |
| Euclid | solve Ax + By = C |
| the Ultimate Gutter | the best gutter dimensions |
freeware | |
| Lorentz waterwheel similator | chaotic movements |
| Pendulum simulator | measure cycle times |
| trigonometric identity tables | a base for equations |
| bit calculator | + , - ,* , / binary explained |
| static cable forces calculations | improved program and theory |
| DC networks calculator | analyse complex resistor/battery networks |
| Framework | test the strength of a frame |
| Rotating globe | full screen size |
| Computer art | painting 3D Lissajous graphics |
| Logic10: Boolean Algebra | Generate and Reduce Truth Tables |
| Prime Number Generator | program + algorithm description + source code |
| Polygon Overlap Calculator | program + algorithm description + source code |
| Graphics-Explorer | Plot, print, explore equations and functions |
| Euclid | solve Ax + By = C |
| ChrCode | show characters and codes |
| Factors | factorize numbers, calculate gcd |
| FontTest | shows how Windows renders characters on the screen |
| KeyStroke | shows the generated key codes |
| LinEq | solve systems of linear equations |
| Numbers | convert number systems |
| Pinwheel | Operate a vintage mechanical calculator |
| Ranks | Calculate the rank of a combination, permutation or partition |
Delphi programming | |
| find numbers | satisfying m*[ABC..]=[..CBA]; program + project |
| An integer square root algorithm | program + project |
| A cube root algorithm | program + project |
| cube diagonal distance | geometry, Delphi project |
| hexadecimal digit puzzle | program + Delphi project |
| 15-puzzle | 15-puzzle, program description |
| cat's eye | programming a cat's eye indicator |
| bitmap resizing | enlarge or reduce digital images |
| bitmap expansion | by interpolation |
| Rotation of bitmaps | theory, source code and exerciser program |
| the Xbitmap class | add many new painting features to a bitmap |
| non recursive floodfill | floodfill any shape |
| painting dash-dot lines | with multipixel pen widths | the Xfont project | create your own font |
| the Xfont class | implementation of the XFont project |
| freehand drawing | generate and store hand drawn images |
| Image compression | compresses .bmp files, for photos better than .gif |
| a rotating button component | 3D moving effect, source code + description |
| Colormixer | a simple component for dialog forms |
| Color dialog | a color dialog form with history using the colormixer |
| a microseconds counter | count program execution times with nanosecond accuracy |
| a counter component | improved microseconds counter as component |
| an arraybutton component | organise menu buttons as one- or twodimensional array |
| a simple component for color selection | quick and simple color picker |
| how to draw spirals | refresh your high-school math |
| soft drawing | Paint smooth lines and ellipses. Demo + source code. |
| Drawing | drawing techniques, part 1,2,3,4 |
| Peg-Solitaire puzzle | how to program the search for solutions |
| SHIFT puzzle | how to program the search for solutions |
| logic puzzle solving | Programming to solve logic puzzles |
| Programming the tic-tac-toe game | Includes analyses algorithm description |
| Sudoku | programming the Sudoku helper-solver |
| a Connect4 search algorithm | how the computer calculates the best move |
| formula translation | break down a math formula into basic operations |
| how to plot functions | basic theory + recognizing asymptotes. |
| Polygon Triangulation | How to dissect a complex polygon into triangles |
| the search for weird numbers | program + algorithm description | difficult geometric problem | solved by numeric method of successive approximation | a recursive GCD algorithm | program + description | recursive log claculation | program + exerciser + description | partitions generator | algorithm + description | distance of parabolas | numerical Delphi solution | Blaise Pascal magazine | lecture at IJsselstein 03-11-2018 |
| a simple billards game | program description + fysics explanation |
| a nice prime number puzzle | source code + program description |
| Weights hanging on cable | calculate cable deformations |
| Calculate logarithms | the recursive way, using chained fractions |
| Square root calculations | iterative + recursive methods |
| Pythagoras tree | small recursive program with amazing result |
| rivercross problems | Cabbage-Goat-Wolf and Jealous husbands problems + solutions |
| framework | frame test program description. |
| combinations | systematical selection of combinations. |
| color coding in image compression | an investigation. |
| a WYSIWYG math editor | how to edit algebraic equations. |
| painting a globe | from a cilindrical 2:1 projection |
| programming the Queens puzzle | program description + source code |
| Data storage in 2 dimensional arrays | Shows how data is stored in memory, allows faster access |
| InLine Help | Add InLine Help information to your application |
| Programming 3D graphics | computer art with 3D Lissajous graphics |
| Programming Truth Table Reduction | Application of Boolean Algebra |
| absolute function examples | save if statements when setting boundaries of variables |
| tree graph operations with undo | description, listing, complete project,new version 5 |
| Encryption | simple character string encryption |
| programming techniques(1) | use of the "absolute" (abs) function |
| programming techniques(2) | programming complex loops |
| programming techniques(3) | controlling a board game |
| programming techniques(4) | filtering characters for names or passwords |
| programming techniques(5) | while .. do .. loops to search arrays |
| programming techniques(6) | step by step program execution |
| programming techniques(7) | reading and writing bitstrings from/to a buffer |
| 3D spheres generator | paint / save 3D spheres in different colors |
| Floating Point numbers | explore floating point formats |
| Exponential Curve Fitting | how Graphics-Explorer builds exponential functions |
| the direction of a vector | obtain the direction of a line in degrees |
climate and energy | |
| The Pied Piper of Hamelin | the roots of climate activism |
| The Spiritual Climate | why did we turn our back to the enlightenment? |
| Climate Science | presented as cartoons |
| Energy and Progress | |
| The future of energy | |
| Energy Storage Systems | |
| Green Lies: the windfarm fallacy | |
