P a u l B o u r k e

W: paulbourke.net −− P: +61 (0)4 3333 8325 −− E: paul.bourke@gmail.com
FaceBook −− Sketchfab −− YouTube −− Vimeo −− Shapeways

Fun, Puzzles, Travel

The following are a number of puzzles presented for your entertainment. Feel free to submit any puzzles that you think are interesting, my email address can be found here. If appropriate I will include them here. The main requirement for any puzzles listed here is they should not require any advanced mathematical skills. If you find yourself writing equations for any of the puzzles you are probably approaching it the wrong way. (There are only a couple of exceptions below) The puzzles below are approximately in order of increased difficulty although it is only my own personal impression. To answer your next question, no, answers are not provided to most of the problems. The whole point of a good puzzle is for it to prey on your mind until you solve it. If you are REALLY desperate I will reveal answers if you beg or for a small inducement (eg: beer, chocolates, postcard).

Not so hard	Not easy	Harder
House expansion 2 Buckets 1 1 9 9 Numbers 6 Oranges and 6 Boys Frog down a well How many pigs Trace the envelope Wasted trip Next letter 6 Toothpicks Picking Apples Separate cans Crossing the River Displacement L of a house Mystery Suicide Castle Form a square Labels Circles Odd one out Birth control Expression Slice the cheese Fishing Rearranging 4 coins Splitting horses Elevator Forest Explorer 3 Switches Shifting sticks Swimming fish Filling bag All digits	4 hats Burning fuses Join the dots Missing Square Wedge paradox Join the boxes Divide the doorstop Four men crossing a bridge Slice the T Sequence Black and white hats Black and white hats, version 2 Black and white hats, version 3 Four hats Bear hunting Proof that 2 = 1 Square root Hourglass timing Poison wine 4 Parts Bucket of Rocks Sweets 5 lines of 4 coins Truth/Lie Special number Trace the loops Shifting glasses Four trees Counterfeit Coin Missing Money Sum of cubes Guess my birthday Lockers Bee and the Locomotive Sharing bread 999.html	Children ages 5 coins, 5 moves Torus cuts Symbols How many triangles Goblin Walking distance Cutting a cube Counterfeit Coins Make 100 Zeros Floating balloon Was it a cat Times 4 Carpet redesign How Many Coconuts? Game show door Shaking hands Greek Cross Six Matches Cut the moon Napkins Weighing in a vacuum Four Fours Ladder problem Wind and sound Tides Who wins Cabling Three Disks Three Chords Wild Infinity Why are plants green? Goodstein's theorem

"I can't understand why people are frightened of new ideas, I'm frightened of the old ones". John Cage

Illusions
Box interpretation Schroeder stairs Cube Impossible triangle Muller-Lyer Trident Plus	Hering Spiral Zollner Staring face Black Dot Womans face Coloured balls Concentric circles	Imagined triangle Imagined cube Sloping lines Womans face Colours Coloured cats Two circles	Elephant legs Baby Grey dots Hidden box Railway lines Bad box Straight lines

A computer once beat me at chess, but it was no match for me at kick boxing. Emo Philips

Shit Happens
Taoism Confucianism Buddhism Zen-Buddhism Hinduism Islam	Shit Happens. Confucius say, "Shit Happens". If shit happens, it is not really shit. What is the sound of shit happening? This shit happened before. If this shit happens, it is the will of Allah.	Protestantism Catholicism Judaism New Age Atheist Rastafarian	Let shit happen to someone else. If shit happens, you deserved it. Why does shit always happen to us? A firm shit does not happen to me. I don't believe this shit. Let's roll that shit up and smoke it.

Contrary to what most people say, the most dangerous animal in the world is not the lion or the tiger or even the elephant. It's a shark riding on an elephant's back, just trampling and eating everything they see.

Astro-photography

Fun with the Garmin VIRB

Syzygy: Transit of Venus, 8 June 2004

Solar eclipse, 4 Dec 2002

Total Lunar Eclipse, 16 July 2000

Leonid meteor shower 18 November 2001

A good way to threaten somebody is to light a stick of dynamite. Then you call the guy and hold the burning fuse up to the phone. "Hear that?" you say. "That's dynamite, baby!"

Geometric

The pavement art of "Astral Nadir".

Slicing a torus. How many ways can a torus be cut (with a single plane) so that the resulting cross sections are perfect circles?

Fitting puzzle

The ribbed sphere. Do plans and elevations describe unique geometry?

Common misconception regarding a cube. Most people are poor at visualising even the simplest geometry.

Designing the golf ball pyramid puzzle

For your penance, say five Hail Marys and one loud BLAH! Spike Milligan

Limeric Math

A dozen, a gross, and a score,
plus three times the square root of four,
divided by seven,
plus five times eleven,
equals nine squared and no more!

The integral of t squared dt
from one to the cube root of three
times the cosine
of three pi over nine
is the log of the cube root of e

"And still they gazed and the wonder grew, That one small head could carry all he (she) knew." Oliver Goldsmith

Happy snaps from Thailand, July 2019

India: Happy snaps, November-December 2918. Manipal and surrounding areas. Bangalore.

Seoul in half a day, South Korea.

Venice, Italy.

Istanbul and Cappadocia, Turkey.

Malaysia: Kuching (Sarawak). Kota Kinabalu (Saba). Terengganu. Mah Meri photos.

Two headed turtle. Found in the turtle zoo, Chinese Garden, Singapore, June 2007

China: Shanghai. Shenzhen. Xi'an. Beijing (Bi/Tri)-Cycle Gallery. Dragon Gardens, and Apartments, 6pm and 8pm in Hong Kong.

Phnom Penh Tuk-Tuk album.

Rotomahana, New Zealand.

Auckland (Harrah Casino) Skytower. A photo gallery during the construction of the Skytower in Auckland built during 1996. Contains images from the top during and after the construction as well as the 101 uses for the Skytower.

Auckland Albert Park Air Raid Shelters. These pages illustrate an interesting feature of Auckland history, unknown to many Aucklanders there is a maze of tunnels under a central city park, namely Albert Park. The original maps of the tunnels (1942) are presented at user selectable scales and with links to contemporary features.

Politicians are like nappies. They should be changed regularly and for the same reason. Patrick Murray

Other

Try to guess what these objects are.

iTunes gift card scam

Fun with a drone

SfM fun. Weird results one can get with photogrammetry (Structure from Motion) software.

Does AppleCare ..?. Excessive and non-environmentally friendly packaging by Apple.

Holographic display anyone? (QuickTime Movie)

Fun calculus. How's your high school calculus? A bucket that holds paint but can't be painted!

Minus One poem

Heaven is hotter than hell. Basic thermodynamics and the bible.

Make Waves not Water. If you are female and don't have a sense of humour then perhaps you shouldn't read this. I guess you're sure to read it now!

Birth assistance patent. Believe it or not, this patent is for real!

UWA @ SecondLife. A photographic gallery of the University of Western Australia's venture into SecondLife.

Why English is so hard to learn.

Silly statement from my bank

Art, like morality, consists of drawing lines somewhere. G.K. Chesterton

Contents :
(All pages) Papers, Presentations, Workshops −− Geometry, Surfaces, Curves, Polyhedra −− Fractals, Chaos, Self similarity −− Domes, Planetariums, Fisheye, Spherical Mirror −− Stereographics, 3D Projection −− Panorama, 360 Video −− Photographic Reconstruction −− Miscellaneous: Projection, Modelling, Rendering −− Data Formats: 3D, Audio, Image −− Texture Library −− Fun, Puzzles, Travel

Recent : Symmetry in Chaos −− Samila mappings −− Tetrakaidecahedron and Pyritohedron −− Hosier Ln, Melbourne −− MRLY sponge fractals −− Mapping long thin images into higher dimensions −− Voxelation of mesh data: obj2vox −− Unification of free energy minimization, spatiotemporal energy, and dimension reduction models of V1 organization: Postnatal learning on an antenatal scaffold −− Modified decagon tiles −− Mirror effects for 360 viewing −− Phoenix Julia fractal −− Editing historical stereoscopic prints −− Dome Projection and Calibration for Offaxis Fisheye Lenses −− Adventures with the LookingGlass Portrait −− Experiments in Reverse Perspective −− Tools for Spherical Mirror Projection

The contents of this web site are © Copyright Paul Bourke or a third party contributor where indicated. You may print or save an electronic copy of parts of this web site for personal use, permission must be sought for any other use.