http://www.johnedmark.com/rotating1 daily 0.75 2019-07-29 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461976076397-TISTC9NLCSAX498F4VFS/image-asset.jpeg Rotating - Helicone: an interactive kinetic sculpture Through the use of internal stops, each arm is constrained to rotate a maximum of 68.75° (1/2 the Golden Angle) relative to its neighboring layer. The Helicone™ is available at a number of retail venues including the MoMA Design store and Guggenheim Museum store in New York City. It may be found Online at momastore.org, and Amazon.com. The Helicone is featured in an article in the New York Times. Materials: laser-cut plywood, brass, beechwood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461976076397-TISTC9NLCSAX498F4VFS/image-asset.jpeg Rotating - Helicone: an interactive kinetic sculpture Through the use of internal stops, each arm is constrained to rotate a maximum of 68.75° (1/2 the Golden Angle) relative to its neighboring layer. The Helicone™ is available at a number of retail venues including the MoMA Design store and Guggenheim Museum store in New York City. It may be found Online at momastore.org, and Amazon.com. The Helicone is featured in an article in the New York Times. Materials: laser-cut plywood, brass, beechwood https://static1.squarespace.com/static/5722efdc746fb941a5bb194f/5723f46a7c65e48584f34c11/5828dfa76fd27c4d1d2f26ff/1479073506971/ Rotating - Lollipopter https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479073703662-E3562G8NMJVVLZN9NN21/image-asset.jpeg Rotating - Lollipopter: an interactive kinetic sculpture The Lollipopter® is a multicolored, plastic version of the Helicone™. The Lollipopter is available at a number of retail venues, including online at Amazon.com. Materials: polypropylene, stainless steel, ABS https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461975802075-OF9A1UT1YOAR5OITK3HW/image-asset.jpeg Rotating - PatTurn The two different size gears are in a ratio of 3:4, causing the larger gears to rotate 75% as fast as the smaller gears. Material: Laser-cut plywood, paint https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461975889513-KSML5S5QY19MOBABDCQA/image-asset.jpeg Rotating - HyperCycles geometric drawing tool HyperCycles is based on the Spirograph toy. HyperCycles is essentially a Spirograph inside a Spirograph. This configuration results in an additional periodicity, which allows for the creation of more complex curves, and less regular drawings. HyperCycles is available for purchase at the National Museum of Mathematics' online store. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461975776114-NJC9YR1EN2LC8V33625F/image-asset.jpeg Rotating - Nautilus Column Through the use of internal stops, each layer in this tower is constrained to rotate a maximum of 15° relative to its neighboring layer. Material: laser-cut MDF https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461975728885-0C1GH5Y7IDLP9G0MVSV0/image-asset.jpeg Rotating - TransColumn Through the use of internal stops, each layer in this tower is constrained to rotate a maximum of 137.5° (the Golden Angle) relative to its neighboring layer. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461976542974-4F4SW5UGZL16NTOZHXLZ/image-asset.jpeg Rotating - TransTower II (Manual) Through the use of internal stops, each layer in this tower is constrained to rotate a maximum of 137.5° (the Golden Angle) relative to its neighboring layer. Material: laser-cut plywood   https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461976099275-DYXX4ATTI03KZVYNA947/image-asset.jpeg Rotating - Incremental TransTower The transformations in this tower result from Incremental Drift, wherein each layer rotates slightly faster than the layer beneath it. There are 32 layers in this tower, so the top layer must make 32 complete revolutions before the tower returns to the same state. Internal mechanism designed and fabricated by Paul Stepahin. Material: laser-cut plywood http://www.johnedmark.com/work daily 1.0 2017-08-25 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461982155032-BZG4840HT8QYWHEMEUX6/image-asset.jpeg Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461982898757-SFGH0T2V3E3IFP7XHHGP/Chaise+Lawn+II.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461982899060-TYRJSUDXJG0SUR42VNC7/Chaise+Lawn.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462146010489-IWQNQGVZKVP886URIC8C/image-asset.jpeg Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979916265-8OO33N9IJ31QK3Q8RZ1W/Nesting+Blocks+Sequence.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979917863-UWHYJ4I6NVBJ9MLT8IQQ/Nesting+Blocks+Zig-Zag.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979916539-FU65JT4EL34RDM8FJLCD/Nesting+Blocks+Grandchildren.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979918249-08EISQVZ4JVHZEDZCAFT/Nesting+Blocks.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979916852-SX2CIPWP68Y1JXTFQUKW/Nesting+Blocks+Spiral.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461981766004-ZPUY6SV1UOMFUE4PJG0A/Sand.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461981765942-EQ3ET9YRAUJWSS9CASNZ/Sand+Detail.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461976612536-ZR5A87DWBNASYPW4W0Y7/Helicone-v1-SD.jpg Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461978569440-9DDXI0J2CQP1MW0SDBTS/Lobster+%28curled%29.jpg Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461986235763-8XIMG0LPGOUVA1K31877/Microwave+Whistle.JPG Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461990628111-M2CUYYLNY2WKU0TJXOAL/Cubic.jpg Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462142396437-E0AOWCZL2ZIKIIF54FV0/Star+Wave+cropped.jpeg Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462142798225-79144TBQH5K0ADDGWHFO/Screen+Shot+2016-05-01+at+3.45.36+PM.jpg Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462241646620-J7UL4ZIZ4EKBA7C7A1CG/Aerobatic+Balls+Color+Cor.jpg Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462242086690-8S43KDS9GD4O941WINW2/Torture+Device+color+cor.jpg Work https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462242349006-0ZSQ3JSFCPNCM4O29WAT/Strata+color+cor.jpg Work http://www.johnedmark.com/natural-blooms-1 daily 0.75 2016-05-01 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461971811844-J74W3LPT6D70T6EOFXFB/image-asset.jpeg Natural Blooms - Natural Bloom: Artichoke Here we see an artichoke spinning while being videotaped at 24 frames-per-second with a very fast shutter speed (1/4000 sec). The rotation speed is chosen to cause the artichoke to rotate 137.5º—the golden angle—each time a frame is captured, thus creating the illusion that the leaves are moving up or down the surface of the artichoke. (The movement is wobbly because the artichoke is not completely symmetrical.) Camera & editing: Charlie Nordstrom https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461971811844-J74W3LPT6D70T6EOFXFB/image-asset.jpeg Natural Blooms - Natural Bloom: Artichoke Here we see an artichoke spinning while being videotaped at 24 frames-per-second with a very fast shutter speed (1/4000 sec). The rotation speed is chosen to cause the artichoke to rotate 137.5º—the golden angle—each time a frame is captured, thus creating the illusion that the leaves are moving up or down the surface of the artichoke. (The movement is wobbly because the artichoke is not completely symmetrical.) Camera & editing: Charlie Nordstrom https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461971871576-0CY8IFJFY9XE4TG9MDYL/image-asset.jpeg Natural Blooms - Natural Bloom: Cactus #1 (Top View) For each frame of the animation the cactus is rotated 137.5º—the golden angle—which creates the illusion that the areoles are emerging from the center of the cactus. (The irregularity of the movement is due to the areoles not being perfectly consistent in their placement.) https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461972060902-EYGNS2XKULF9OU743628/image-asset.jpeg Natural Blooms - Natural Bloom: Cactus #1 (Side View) For each frame of the animation the cactus is rotated 137.5º—the golden angle—which creates the illusion that the areoles are emerging from the center of the cactus. (The irregularity of the movement is due to the areoles not being perfectly consistent in their placement.) https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461972082619-LUIGQSE42FB27I3OZNHV/image-asset.jpeg Natural Blooms - Natural Bloom: Cactus #2 For each frame of the animation the cactus is rotated 137.5º—the golden angle—which creates the illusion that the areoles are emerging from the center of the cactus. (The irregularity of the movement is due to the areoles not being perfectly consistent in their placement.) http://www.johnedmark.com/nesting1 daily 0.75 2017-08-25 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461977547179-FRMY7X84SS6O61K351M5/image-asset.jpeg Nesting - Star Wave Sliding these star-shaped concentric rings back and forth creates an illusion of depth. Materials: laser-cut mat board, acetate, glue https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461977652080-MP13LD1OTRYBKGTVECLX/image-asset.jpeg Nesting - Nesting Frames Spiral Tiling All of these frames were cut from a single piece of wood. They are similar, and logarithmically scaled. Their shape was designed to allow them to be combined to form a spiral tiling. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461977684430-6P0ZK2JKLVV4JD5KS5IK/image-asset.jpeg Nesting - Nested Nautilus Tower In this stop-motion animation, the nested frames are rotated relative to each other, causing them to stack on top of each other. Materials: laser-cut, laminated plywood.   https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461977730327-RNGAH5XQQ5TAEB62I8F2/image-asset.jpeg Nesting - Nested Fibonacci Tower In this stop-motion animation, the nested frames are rotated by 137.5º (the golden angle) relative to each other, causing them to stack on top of each other. Materials: laser-cut, laminated plywood.   https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461975667240-TF84NQ1F1QPHJ4GO9KYK/Helicone-v1-SD.jpg Nesting http://www.johnedmark.com/nesting-blocks daily 0.75 2016-04-30 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979916265-8OO33N9IJ31QK3Q8RZ1W/Nesting+Blocks+Sequence.JPG Nesting Blocks https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979916265-8OO33N9IJ31QK3Q8RZ1W/Nesting+Blocks+Sequence.JPG Nesting Blocks https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979917863-UWHYJ4I6NVBJ9MLT8IQQ/Nesting+Blocks+Zig-Zag.JPG Nesting Blocks https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979916539-FU65JT4EL34RDM8FJLCD/Nesting+Blocks+Grandchildren.JPG Nesting Blocks https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979918249-08EISQVZ4JVHZEDZCAFT/Nesting+Blocks.JPG Nesting Blocks https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979916852-SX2CIPWP68Y1JXTFQUKW/Nesting+Blocks+Spiral.JPG Nesting Blocks http://www.johnedmark.com/spirals1 daily 0.75 2017-08-25 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461978159823-F6SU8J8LL0MW2BD3YSJN/image-asset.jpeg Spirals - Roll-Up Spiral This logarithmic spiral is furled and unfurled by pulling and releasing a string that passes through the inner radius of each section. Materials: laser-cut plywood, nails, string https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461978159823-F6SU8J8LL0MW2BD3YSJN/image-asset.jpeg Spirals - Roll-Up Spiral This logarithmic spiral is furled and unfurled by pulling and releasing a string that passes through the inner radius of each section. Materials: laser-cut plywood, nails, string https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461978207304-5EVP39MFLRZXBOKYE6HT/image-asset.jpeg Spirals - Nesting Frames Spiral Tiling All of these frames were cut from a single piece of wood. They are similar, and logarithmically scaled. Their shape was designed to allow them to be combined to form a spiral tiling. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461978244585-AJC1OMWNUJYFBGWB8OGD/image-asset.jpeg Spirals - Folding Spiral This folding spiral exhibits a surprising behavior when held aloft: the spiral rises up, seemingly defying gravity. Materials: laser-cut plywood, cloth, glue https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461978287872-12JQU3ZNXPRZESZ7MH1W/image-asset.jpeg Spirals - Curling Spiral (Outer Spine) Changing the angle between the two sides of this spiral causes it to furl or unfurl. Materials: laser-cut plywood, cloth, glue https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461978322727-EX4KWEJSK3YIQQ9UCCW9/image-asset.jpeg Spirals - Curling Spiral (Inner Spine) Changing the angle between the two sides of this spiral causes it to furl or unfurl. Materials: laser-cut plywood, cloth, glue https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461978357442-O85X7XVSJTCR28ECXCBS/image-asset.jpeg Spirals - Combined Curling Spirals Changing the angle between the two sides of these combined spirals cause them to furl or unfurl. Materials: laser-cut plywood, cloth, glue http://www.johnedmark.com/air-water1 daily 0.75 2016-05-03 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462242476387-MP6RUMKX99FM2YS5XYLB/Aerobatic+Balls+Color+Cor.jpg Air & Water - Aerobatic Balls Ping-Pong balls are suspended by 12 air streams via Bernoulli’s principle. The balls interact with each other in a chaotic fashion, each of them affecting the air stream around its neighbors. The behavior of the system can be adjusted by varying the number of balls and the air velocity. At certain settings the balls move gently toward and away from each other in a kind of dance. At other settings the balls jump over each other, seemingly juggled by invisible hands. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462242476387-MP6RUMKX99FM2YS5XYLB/Aerobatic+Balls+Color+Cor.jpg Air & Water - Aerobatic Balls Ping-Pong balls are suspended by 12 air streams via Bernoulli’s principle. The balls interact with each other in a chaotic fashion, each of them affecting the air stream around its neighbors. The behavior of the system can be adjusted by varying the number of balls and the air velocity. At certain settings the balls move gently toward and away from each other in a kind of dance. At other settings the balls jump over each other, seemingly juggled by invisible hands. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974320124-I4QJH71ZXGABJ8A9I7K7/image-asset.jpeg Air & Water - Polyhedral Kaleidoscope Unlike a regular kaleidoscope in which the three mirrors form a triangular prism, the mirrors in the polyhedral kaleidoscope form a truncated triangular pyramid. This results in the replicated images no longer being coplanar (as in a regular kaleidoscope), but rather meeting each other at an angle. In this version of the polyhedral kaleidoscope the angles are calculated to create a virtual icosahedron—one of the five Platonic solids—formed by 20 equilateral triangles. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974369405-7IATOB5LZFM233XBS5A0/image-asset.jpeg Air & Water - "My Turn" Fountain Ping-Pong balls are carried aloft by three geysers on which they balance and spin . When a ball falls out of one geyser, the sloped mesh surface encourages it to roll counter-clockwise to the next geyser. When a ball enters a geyser, it interrupts the flow of water, thus releasing the geyser’s current ball, which then moves on to the next geyser. This action continues around in a circuit of endless feedback so that each ball is affected by its own previous actions. At times the balls seem to be fighting over access to the geysers, thus the name “My Turn”. The behavior of the system can be adjusted by varying the number of balls, and the height and angle of the geysers. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974397594-534C3HKFBEASLL579FUU/image-asset.jpeg Air & Water - Geyser Wall Ping-Pong balls are supported by 12 geysers via Bernoulli's principle. The geysers are spaced so that the balls are somewhat stable in a single geyser, but can also be drawn over to the neighboring geyser at random intervals. The balls also interact with each other, trading places, spinning around each other, or knocking each other out of the geyser. The behavior of the system can be adjusted by varying the number of balls, and the height and angle of the geysers. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974427113-W8635MGNEP9CBEWMBB9X/image-asset.jpeg Air & Water - Fish Exerciser The direction and velocity of the water changes according to the fish's location. A micro-controller uses data from multiple light sensors to determine the fish's position, and adjusts the water-control gates accordingly.   http://www.johnedmark.com/halfbaked1 daily 0.75 2017-08-25 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461990470266-S2H9M3T5MTWRZGUOUS6B/image-asset.jpeg Rough sketches - Stella Octangula-Octahedron Space Packing The stella octangula can be seen as either an octahedron with a tetrahedron placed on each face, or as the union of two overlapping tetrahedra. In combination with with the octahedron the stella octangula can fill space. The stella octangula has 24 equilateral triangle faces; The octahedron has 8 equilateral triangle faces. The three-sided laser-cut pieces used here represent those faces. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461990470266-S2H9M3T5MTWRZGUOUS6B/image-asset.jpeg Rough sketches - Stella Octangula-Octahedron Space Packing The stella octangula can be seen as either an octahedron with a tetrahedron placed on each face, or as the union of two overlapping tetrahedra. In combination with with the octahedron the stella octangula can fill space. The stella octangula has 24 equilateral triangle faces; The octahedron has 8 equilateral triangle faces. The three-sided laser-cut pieces used here represent those faces. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461989167272-5T6LKHWOSGLSWKZCJ3B9/image-asset.jpeg Rough sketches - Rhombic Dodecahedral The rhombic dodecahedron has twelve rhombus-shaped faces. The four-sided laser-cut pieces used here represent those faces. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461994695291-YW4J7AV2JBK6XOSHP8X1/Truncated+Octahedral.jpg Rough sketches - Truncated Octahedron Space Packing The truncated octahedron has eight regular hexagon faces and six square faces. The six-sided and four-sided pieces used here represent those faces. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461990495716-J4EHLM5HNOFS80NQJR6Q/image-asset.jpeg Rough sketches - Rhombic Dodecahedron Space Packing The rhombic dodecahedron has twelve rhombus-shaped faces. The four-sided pieces used here represent those faces. Material: laser-cut plywood   https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461990520882-BHEI0A0AD2UK8WVYOSVK/image-asset.jpeg Rough sketches - Cube Space Packing The pieces are all the same, but only some of them represent the faces of the cubes; the others serve as connectors. Because the cube space packing is a self-dual, one may also observe that duality here by exchanging which pieces one views as faces versus connectors. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461994534895-71NUOLOQCX509LAO7DLB/Truncated+Octahedral.jpg Rough sketches - Truncated Octahedron Space Packing The truncated octahedron has eight regular hexagon faces and six square faces. The six-sided and four-sided laser-cut pieces used here represent those faces. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461991938244-PTVJFKG0P0GVI1B28BSK/image-asset.jpeg Rough sketches - Spiral Cone Offsetting the two spirals by 180 degrees causes them to overlap and form a cone. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461991879932-OXF50O3P01ZY0M1T8BUF/image-asset.jpeg Rough sketches - Star Spiral Cone Twisting the spiral slightly causes the layers to overlap and form a cone. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461991906910-5LOQCHRVFCQXHWMUVZEW/image-asset.jpeg Rough sketches - Star Spiral Cone Offsetting the two spirals slightly causes them to overlap and form a cone. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462242387878-QJZ6YZSQH2IB4NK54GS9/Strata+color+cor.jpg Rough sketches - Intersecting Cones Stop-motion animation of laser-cut, laminated plywood rings, showing the same structure in two different orientations. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979548988-RO3DJYLFXQFDGDY1UD1K/image-asset.jpeg Rough sketches - Nested Gears As the gears rotate inside each other, they incrementally progress. Material: laser-cut acrylic https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461979509818-52JZHL14FVYKIJA0JLOR/image-asset.jpeg Rough sketches - Pentagon Wave Sliding these pentagonal concentric rings back and forth creates an illusion of depth. Material: laser-cut mat board https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461990888373-MUDCIVKSP95AY3QFTQU4/Truncated+Octahedral.jpg Rough sketches - Truncated Octahedron Space Packing The truncated octahedron has eight regular hexagon faces and six square faces. The six-sided and four-sided laser-cut pieces used here represent those faces. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461984315021-BW4PX6LX58HBCE57XJTG/Microwave+Whistle.JPG Rough sketches - Micro Kettle Makes boiling water in the microwave safe and convenient by turning one's mug into a teakettle that whistles when the water boils. An attachment with a specially treated surface makes contact with the water to facilitate boiling and prevent dangerous superheating. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1503640077754-MG6IB7MF82ZVVAHML4JT/CDsorter.jpg Rough sketches - CDsorter Keeping CDs in order in conventional slotted storage systems usually means a lot of tiresome rearranging and reshelving. CDsorter is designed to free you from this chore by letting you create new slots anywhere in your collection using additional CDsorter trays. CDsorter also adapts to your space requirements and expands with your collection. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462139274047-34244LTZAW32RG7B60G2/Oxo+French+Press+composite.jpg Rough sketches - The GroundsKeeper A mechanism to simplify grounds removal from a French Press. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461984374970-QDD60FMHRTTT24227OIN/Rubiks+Spiral+Challenge.JPG Rough sketches - Rubik’s Spiral Challenge A strategy-based jigsaw puzzle. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461984537658-QFL8I2VS4IDCSNMWPXBX/Polarizing+Filter+Rig.JPG Rough sketches - Coupled Polarizing Filters For the Stereo Realist camera https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479628700137-4DER3N03CJFA5PVZZDH6/image-asset.jpeg Rough sketches - Geyser Ball Straw Proof-of-concept for a drinking straw toy. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479628849193-I6EGWXIX0HXHY16DJ9JJ/image-asset.jpeg Rough sketches - Mixo Straw Proof-of-concept for a drinking straw toy. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461984705921-VUVLH9IGHZUZTWQQJ0AA/CDsorter+48+with+Inset.JPG Rough sketches - CDsorter Keeping CDs in order in conventional slotted storage systems usually means a lot of tiresome rearranging and reshelving. CDsorter is designed to free you from this chore by letting you create new slots anywhere in your collection using additional CDsorter trays. http://www.johnedmark.com/phifib daily 0.75 2024-02-16 https://static1.squarespace.com/static/5722efdc746fb941a5bb194f/5722fcbe044262921a103026/5722fd448a65e2945abda91f/1461910852870/ Fibonacci https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461911864491-DXTCAEW5ZEYV6R8H4W1A/image-asset.jpeg Fibonacci - Blooms Blooms are 3D printed sculptures designed to animate when spun under a strobe light. Unlike a 3D zoetrope, which animates a sequence of small changes to objects, a bloom animates as a single self-contained sculpture. The bloom’s animation effect is achieved by progressive rotations of the golden ratio, phi (ϕ), the same ratio that nature employs to generate the spiral patterns we see in pinecones and sunflowers. The rotational speed and strobe rate of the bloom are synchronized so that one flash occurs every time the bloom turns 137.5º (the angular version of phi). Each bloom’s particular form and behavior is determined by a unique parametric seed I call a phi-nome (/fī nōm/). For this video, rather than using a strobe, the camera was set to a very short shutter speed in order to freeze individual frames of the spinning sculpture. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1484014699331-ZARY00IWC74SOWICY5WM/image-asset.jpeg Fibonacci - BLOOMS 2 [See description above for BLOOMS] https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1564809258755-DLPKX2XA43X1HOB6F28C/image-asset.jpeg Fibonacci - Blooms Assortment Contains casual footage of a variety of blooms, including some new designs; also demonstrates the use of internal lighting (sometimes in conjunction with external lighting). https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461912019537-WUKE6N8Y92EI80U30PYJ/image-asset.jpeg Fibonacci - Helicone: an interactive kinetic sculpture Through the use of internal stops, each arm is constrained to rotate a maximum of 68.75° (1/2 the Golden Angle) relative to its neighboring layer. The Helicone is available at a number of retail venues including the MoMA Design store and Guggenheim Museum store in New York City. It may be found Online at momastore.org, and Amazon.com. The Helicone is featured in an article in the New York Times. Materials: laser-cut plywood, brass, beechwood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479074552578-E8WN4ZD3NLUTHZPCZCN8/image-asset.jpeg Fibonacci - Lollipopter: an interactive kinetic scupture The Lollipopter is a multicolored, plastic version of the Helicone. The Lollipopter is available at a number of retail venues. It may also be found Online at Amazon.com. Materials: polypropylene, stainless steel, ABS https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461972519666-TUS5D8ZOHYWZR9UDQJOU/image-asset.jpeg Fibonacci - Fibonacci Tiling A self-similar tiling, in which every piece is a unique size, but all pieces are the same shape. Each piece is added/removed at an angle of ~137.5 degrees from the previous. This angle—known as the Golden Angle—is manifest in natural objects such as pine cones and sunflowers. Material: laser-cut MDF Templates for cutting this tiling may be found at Instructables.com https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461972469097-H8NF71ZW4OM782WT78V8/image-asset.jpeg Fibonacci - TransTower I (Animated) The transformations in this tower result entirely from rotating the individual layers by the golden angle with respect to their neighboring layers. (Note: this is not CGI; it is a stop-motion animation of laser-cut MDF) Material: laser-cut MDF https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461967327855-O9E2T7RN2JSUGAYJW5DG/image-asset.jpeg Fibonacci - TransTower II (Manual) Through the use of internal stops, each layer in this tower is constrained to rotate a maximum of 137.5° (the Golden Angle) relative to its neighboring layer. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461967366526-IJYIYDM0T5YNHBKCOBKU/image-asset.jpeg Fibonacci - TransTower II (Animated) The transformations in this tower result entirely from rotating the individual layers by the golden angle with respect to their neighboring layers. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461970877453-4F9BRRAEW02FP22PTVBK/Aniform+MVI_9618+sd.jpg Fibonacci https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461967293067-O9IGWJ4BEGQWVUGKX8V7/image-asset.jpeg Fibonacci - Incremental TransTower The transformations in this tower result from Incremental Drift, wherein each layer rotates slightly faster than the layer beneath it. There are 32 layers in this tower, so the top layer must make 32 complete revolutions before the tower returns to the same state. Internal mechanism designed and fabricated by Paul Stepahin. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461972546894-QEHM6TL2J1Q0FBYPNFIS/image-asset.jpeg Fibonacci - TransColumn Through the use of internal stops, each layer in this tower is constrained to rotate a maximum of 137.5° (the Golden Angle) relative to its neighboring layer. Material: laser-cut plywood https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461972622188-V69GAYSOXQVAUYOGRSGJ/image-asset.jpeg Fibonacci - Nested Fibonacci Tower Stop-motion animation of laser-cut and laminated plywood frames.   https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479794326492-1I5FTNZTC5D8BCD8280G/image-asset.jpeg Fibonacci - A Talk About My Phi-Based Explorations This is a talk given by Paul Dancstep of the Exploratorium. http://www.johnedmark.com/miscellanea1 daily 0.75 2019-10-30 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462242441579-PITSD56AZN7FCALUG3ME/Torture+Device+color+cor.jpg Miscellanea - Torture Device for a Perfectionist After getting all the pieces assembled, one finds that there is no way to get the pieces to line up, since the shape is not a ring, but a helix. Material: Scroll Saw-Cut Walnut   https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1462242441579-PITSD56AZN7FCALUG3ME/Torture+Device+color+cor.jpg Miscellanea - Torture Device for a Perfectionist After getting all the pieces assembled, one finds that there is no way to get the pieces to line up, since the shape is not a ring, but a helix. Material: Scroll Saw-Cut Walnut   https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974769079-BMLU32GFKFXE2LS86879/image-asset.jpeg Miscellanea - Four-Legged Chair A study in cooperation and interdependence. Materials: fir, glue https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974927526-WALNFUY6NS0LJIAHPKEW/image-asset.jpeg Miscellanea - Polyhedral Kaleidoscope Unlike a regular kaleidoscope in which the three mirrors form a triangular prism, the mirrors in the polyhedral kaleidoscope form a truncated triangular pyramid. This results in the replicated images no longer being coplanar (as in a regular kaleidoscope), but rather meeting each other at an angle. In this version of the polyhedral kaleidoscope the angles are calculated to create a virtual icosahedron—one of the five Platonic solids—formed by 20 equilateral triangles. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461975330316-LJU9SRH9Y709Q7OAA8ZU/image-asset.jpeg Miscellanea - The Geometron As the user moves fluorescent shapes over the open end of The Geometron, a tiny camera captures their movements and displays them on a monitor at the core. Unlike a regular kaleidoscope in which the three mirrors form a triangular prism, the mirrors in The Geometron form a truncated triangular pyramid, resulting in a polyhedral kaleidoscope. The replicated images are not coplanar (as in a regular kaleidoscope), but rather meet each other at an angle. In this version of the polyhedral kaleidoscope the angles are calculated to create a virtual disdyakis triacontahedron (aka hexakis icosahedron) consisting of 120 uniform triangles. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974708200-O721I0VB33JLK6OLXJBR/image-asset.jpeg Miscellanea - CDsorter Keeping CDs in order in conventional slotted storage systems usually means a lot of tiresome rearranging and reshelving. CDsorter is designed to free you from this chore by letting you create new slots anywhere in your collection using additional CDsorter trays. CDsorter also adapts to your space requirements and expands with your collection. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461975273470-B4VT10RZLWIMXTM8JIW1/image-asset.jpeg Miscellanea - Accordions Changing the angle between the two sides of these accordions cause them to lengthen or shorten. Materials: laser-cut plywood, cloth, glue https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974740810-OQW8CR4CJR3MKD2SWJUX/image-asset.jpeg Miscellanea - Loosely Coupled Swings Two swings are attached to each other below their fulcrums via a steel tube. One of the more interesting results of this coupling is shown here where just one of the two swingers pump, while the other swinger sits still. At first, only the pumper moves, but gradually, the non-pumper starts to move as well. The non-pumper continues to swing ever higher, eventually “stealing” all the kinetic energy from the pumper, thus leaving the pumper at a stand-still—but only momentarily. After a few moments, the energy begins to return to the pumper, eventually leaving the non-pumper at rest. And so it continues, with the energy moving back and forth between the two. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974866885-WYBQR08773MD0ZWL70UM/image-asset.jpeg Miscellanea - Programmable Rhythm Fence A concept for a circular fence in which each stave would have two orientations: flush, and angled. By selecting different combinations of flush and angled staves, different rhythms would be produced by running around the fence with a stick. By angling only the staves that share a given symbol one can create a pre-programmed rhythm. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461974824440-1KPO92IJ46MNE7881EZT/image-asset.jpeg Miscellanea - Wheel Walker Exploits the fact that an oblique cut through a cylinder creates an ellipse. Materials: laser-cut plywood and acrylic 3D Printed version available for purchase at Shapeways.com http://www.johnedmark.com/purchase-1 daily 0.75 2024-02-16 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479533581349-LL39CMU3AXFYT56ZJ2JU/Helicone.jpg Purchase - Helicone Interactive Sculpture Available for purchase here. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479533581349-LL39CMU3AXFYT56ZJ2JU/Helicone.jpg Purchase - Helicone Interactive Sculpture Available for purchase here. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479591098163-8JZKJ3ZLUW0BRC1HSKS4/Lollipopter+4+colors+copy.jpg Purchase - Lollipopter Interactive Sculpture Available for purchase here. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1708115048836-ST1202RS4ZB8GO482B4K/Bloomer+for+Technorama.JPG Purchase - Blooms If you are interested in acquiring a Bloom artwork for your museum or private collection please contact me for details. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479532072816-33YPYCGKJ9O4BRZP40TU/Helicone-v1-SD.jpg Purchase https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1570653682890-XHZW0SF41B00S6YJO7SW/image-asset.jpeg Purchase - Logarithmic Roll-up Spiral This logarithmic spiral is furled and unfurled by pulling and releasing a string that passes through the inner radius of each section. The spiral comes completely assembled, and includes a pull-knob. Just attach a string and you're ready to roll. Available for purchase at Shapeways. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1479533987850-F4R26KNEPN8HJFWBGK7G/IMG_1722.JPG Purchase - Wheel Walker Give the Wheel Walker a gentle nudge and watch it smoothly "walk" across any flat surface - seeming to defy the laws of physics! When you're done taking it for a walk, just place it on its side to keep it from walking away. Wheel Walkers can also be stacked one top of the other. Available for purchase at Shapeways. https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1484673425840-AJ1H5TJSIP9C45NYIYFG/image-asset.jpeg Purchase - HyperCycles geometric drawing tool HyperCycles is based on the Spirograph toy. HyperCycles is essentially a Spirograph inside a Spirograph. This configuration results in an additional periodicity, which allows for the creation of more complex curves, and less regular drawings. HyperCycles is available for purchase at the National Museum of Mathematics' online store. http://www.johnedmark.com/statement daily 0.75 2016-11-20 http://www.johnedmark.com/contact daily 0.75 2023-01-17 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/1461976766209-OKT6NWB5IV70FABIOOBB/image-asset.gif Contact http://www.johnedmark.com/purchase daily 0.75 2016-12-04 http://www.johnedmark.com/press daily 0.75 2019-10-15 http://www.johnedmark.com/resume daily 0.75 2025-05-14 http://www.johnedmark.com/talks daily 0.75 2019-09-20 http://www.johnedmark.com/resonance_dahlia daily 0.75 2023-01-17 https://images.squarespace-cdn.com/content/v1/5722efdc746fb941a5bb194f/c3937839-1a5e-43f5-9ad9-4d9ac412ac75/Dahlia+Line+Art+for+Press+Release+thicker.jpg Resonance_Dahlia