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Apr 22, 2024

🔬#MESExperiments 37: Interesting Experiments with Magnets and Unmagnetized Steel

In #MESExperiments 37 I demonstrate some very interesting observations of permanent magnets and unmagnetized steel when placed on a large magnet. Small magnets tend to move to the center of the magnet but when lifted they suddenly move to the edge. Small unmagnetized steel balls and screws tend to move to the edge of the magnet both when placed and lifted. However, a larger magnetic ball and large unmagnetized steel bolt both tend to move to the center both when placed and lifted. I also show a cylinder magnet wants to stand vertically in the center but moves to edge when lifted. When placed flat and pushed towards the center, it can launch away!

Finally I show that a tiny magnet behaves completely opposite of a tiny unmagnetized steel screw, both in position and angle direction. The tiny screw balances near the center at and an angle pointing away from center and gradually flattens out when moved to the edge. The tiny magnet balances near the edge at an angle towards the center and gradually flattens out when moved to the center. These are all some very interesting and puzzling experiments which I hope will help us unravel the mystery that is electromagnetism!

Original unedited experiment: https://youtu.be/3kcJ2XSzbe0

Timestamps:

- Unmagnetized steel vs magnets: 0:00
- Magnetic ball rolls to center of magnet: 0:05
- Magnetic ball moves to edge when lifted: 0:11
- Unmagnetized steel ball moves to edge of magnet: 0:32
- Steel ball is unstable in center: 0:44
- Steel ball moves to edge when lifted: 0:55
- Large magnetic ball moves to center of magnet: 1:20
- Large magnetic balls moves to center even when lifted: 1:31
- Large unmagnetized steel bolt moves to center of magnet even when lifted: 1:50
- Additional Experiments: 2:15
- Cylinder magnet moves to center vertically: 2:20
- Cylinder magnet moves to edge when lifted: 2:27
- Pushing cylinder magnet away causes it to flip back to center: 2:32
- When flat, cylinder magnet keeps poles aligned to center and edge: 2:36
- When flat, cylinder magnet launches away when pushed past center: 2:45
- Small unmagnetized steel screw moves to edge of magnet: 3:00
- Small screw stands at an angle near center: 3:09
- Small screw moves to edge when lifted: 3:14
- Tiny unmagnetized steel screw stands at an angle near center: 3:21
- Tiny screw moves to edge when lifted: 3:30
- Tiny screw becomes more vertical closer to center: 3:36
- Angle of screw is away from center: 3:44
- Tiny magnet balances at an angle near edge of larger magnet: 3:58
- Angle of tiny magnet is towards the center and flattens out near center: 4:03
- Tiny magnet moves to and along edge: 4:11
- Tiny screw and magnet balance in opposite positions and angles: 4:27
- Tiny screw flattens out at edge, Tiny magnet flattens out at center: 4:40

Stay tuned for #MESExperiments 38...

Experiment screenshots and playlists:

- Screenshots of the Experiment: https://peakd.com/hive-128780/@mes/kkgywcda
- #MESExperiments vi

Apr 22, 2024

63 12:33

Apr 22, 2024

Trigonometry: Sine, Cosine and Tan Functions

This video shows a brief introduction to the wonderful world of trigonometry and defines the functions Sine, Cosine and Tan. Also, how to determine what reference angles to use when inputting to a calculator are shown and an easy way to remember when the ratios of Sine, Cosine and Tan are positive and negative is shown. That method is called A.S.T.C. or All Students Take Calculus.

Video notes and playlist:

- PDF notes: https://1drv.ms/b/s!As32ynv0LoaIiuxz3oVLqWORrp4RqQ
- HIVE notes:
- Trigonometry playlist: https://www.youtube.com/playlist?list=PL5EA2C23DE654B0DB

Related Videos:

Angles - Degrees vs Radians: What are Radians??: http://youtu.be/bOdrVvQWRdE .

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Apr 22, 2024

99 12:03

Apr 21, 2024

MH370 Teleportation Video Fakery: Contrails are Out of Sync with Plane

In this video I show that the alleged Malaysian Airlines Flight 370 (MH370) teleportation video has contrails that are out of sync with the plane even when manually stabilized without any special software. This is further proof that the videos are fake since we can rule out any stabilization software artifact. This obvious fakery raises questions as to why the infamous Ashton Forbes keeps pushing the MH370 teleportation videos, and why some people still believe him...

Video links:

- MES Links: https://mes.fm/links
- MH370 YouTube playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EJGgDKXr-wW8z1jd7pZ069
- Mick West compares real footage of a plane in sync with contrails and the fake MH370 footage with contrails out of sync when stabilized: https://twitter.com/MickWest/status/1781057599510818869
- Manually stabilizing the plane by taking screenshots also shows the contrails out of sync: https://twitter.com/MathEasySolns/status/1781212081586610350
- This proves it is not an artifact of video stabilization as Ashton Forbes would have you believe.
- GIMP Photoshop file: https://1drv.ms/u/s!As32ynv0LoaIiuwRFbQ3mhUWZnCLlw
- Video screenshots: https://1drv.ms/f/s!As32ynv0LoaIiuwqYH3yDbPk_NqEIg
- GIF of aligned screenshots: https://1drv.ms/i/s!As32ynv0LoaIiuwX4HXZNdCn36cxcg
- Video MP4 version of GIF: https://1drv.ms/v/s!As32ynv0LoaIiuxJ1bD1ZHxCRxU73Q
- MH370 videos on MES Links telegram: https://t.me/meslinks/21412
- June 12, 2014 video: UAV-Captures Airliner and UFOs by RegicideAnon: http://web.archive.org/web/20140827060121/https://youtube.com/watch?v=ShapuD290K0
- Download link: https://tinyurl.com/mh370UAV
- MES Local download: https://1drv.ms/v/s!As32ynv0LoaIirheG432fgdwTFwXEA

Timestamps:

- Links to cover: 0:00
- MES Links: 1:22
- Mick West tweet on video stabilization and contrails: 1:48
- T Powell tweet on manually stabilizing with screenshots: 2:44
- Original footage: UAV-Captures Airliners and UFOs: 4:23
- Taking 10 screenshots of 10 frames: 5:08
- Manually aligning plane in 10 screenshots: 6:06
- Converting screenshots into a GIF: 9:18
- Remaking GIF with longer 200 ms between frames: 10:10
- ItsBS tweet of software showing contrails in and out of sync: 10:41
- Outro: 11:45 .

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Apr 21, 2024

122 12:30

Apr 19, 2024

Rare Footage of the Hutchison Effect inside John's Vancouver Apartment (2007)

In this video I have uploaded a rare 2007 look inside John Hutchison's Vancouver, Canada apartment which also shows him operating his military equipment for a live demonstration of the Hutchison Effect. This was the first interview in Dominique Radwanski's pilot episode titled Somewhere Out There, which never got aired. Dominque Radwanski and Rob Simone drove from Los Angeles, USA to Vancouver, Canada to visit John's unique apartment full of old Navy and military electromagnetic equipment. This is the first footage that I have seen that shows John in full operation mode as he tinkers with knobs and turns a coil phase shifting wheel. After a few minutes a plastic canister in the test area begins to levitate and rotate freely. John also discusses how the Canadian government had previously confiscated his lab in 1990 (or 1991) while he was traveling in Europe. The governments of the world know full well of this technology, which can provide free energy and anti-gravity for all, but instead are covering it up for their own selfish purposes.

The full episode and sections playlist is listed below:

- Full Episode: https://youtu.be/VArK2cMsLtA
- Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FKWhQcSEPew5n0KSUySNrv

Timestamps:

- Somewhere out there someone knows the truth: 0:00
- John Hutchison's apartment balcony: 1:19
- HutchisonEffectOnline.com is now HutchisonEffect.com: 1:50
- John's toilet: 4:00
- John was raided by the government in 1990/1991 while he was in Europe: 5:20
- John running an experiment on the Hutchison Effect: 6:02
- John in his command station: 7:14
- Powering up the energy: 8:15
- Plastic bottle starts levitating and spinning: 9:40
- Steel knife merged into aluminum: 10:40
- Government covers up Zero Point Energy: 11:27

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Apr 19, 2024

64 46:46

Apr 18, 2024

Somewhere Out There (2007) Pilot Episode: John Hutchison, Ralph Ring, Jeff Behary

In this video I have uploaded a 2007 pilot episode titled Somewhere Out There by Dominique Radwanski in which she and Rob Simone interview zero point energy researcher John Hutchison, flying saucer technician Ralph Ring, and electrotherapy museum founder Jeff Behary. According to Dominique Radwanski, the pilot episode was originally going to be aired on the Discovery Channel but they wanted to edit out much of it and remove the message about rising consciousness. The show starts off by visiting John Hutchison in his then Vancouver apartment lab where he recreates his famous Hutchison Effect. The second interview is with Ralph Ring, whom is a technician for Otis Carr (protégé of Nikola Tesla) while they were allegedly building flying saucers. The last interview is with Jeff Behary, the founder of the famous electrotherapy museum in Riviera Beach, Florida. This pilot episode is rare footage that I had not seen until John Hutchison himself sent me the video.

After uploading this video, I found out that Dominique Radwanski had died at the age of 36 in 2016. Her body had been found in the waters of Georgian Bay in Ontario, Canada after she left her home the night before. Her family says she had suffered from a medical condition, and the cause of death is still unknown. Here is a song of her paintings dedicated to her life: https://youtu.be/l2MfqW3liW4

- Dominique missing: https://www.simcoe.com/news/dominique-radwanski-missing-since-monday-night/article_f71fb5e4-b1de-5af4-92c2-049e4b161e72.html
- Dominique's body found: https://www.simcoe.com/news/body-of-midland-woman-pulled-from-water-in-georgian-bay-township/article_9c9c3b06-c00f-5ac9-aec4-d027b2c90380.html

Original videos and more links:

- Part 1: https://youtu.be/Q2RU684PlrM
- Part 2: https://youtu.be/AWpAfxapu0s
- Part 3: https://youtu.be/o4DASaxh6-g
- Dominique Radwanski discusses the show in 2011: https://bluestarenterprise.com/videos/somewhere-out-there-john-hutchinson-ralph-ring-nikola-tesla-museum
- John Hutchison's website: https://www.hutchisoneffect.com/
- MES Livestream 20: Hutchison Effect Deep Dive: https://www.youtube.com/live/FHU3nq8oL04
- Ralph Ring (1934 to 4 February 2022) website: https://bluestarenterprise.com/
- Ralph Ring Natural Philosopher's wiki: https://wiki.naturalphilosophy.org/index.php?title=Ralph_Ring
- Nikola Tesla's protégé Otis T. Carr: https://en.wikipedia.org/wiki/Otis_T._Carr
- Jeff Behary's Electrotherapy Museum: https://electrotherapymuseum.org/

Timestamps:

- Intro: 0:00
- John Hutchison: 0:53
- Ralph Ring: 13:24
- Jeff Behary: 30:52
- Outro and Credits: 45:07

Related Videos:

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Apr 18, 2024

77 1:23

Apr 16, 2024

The Magnetic Field Resembles the Electric Field of 2 Bound Charges

In this video I show that the magnetic field resembles the electric field of 2 "bound" or very closely together charges. The magnetic field is the shape that iron filings make in the presence of a magnet (both electromagnetic with current in a coil or loop of wire, and a permanent magnet). The electric field is the shape of the field indicating the force between 2 electric charges: like charges repel and opposites attract. Using the University of Colorado Boulder electric field simulator, I also show that the electric field of a collection of bound and aligned charges resembles very closely the magnetic field of a permenant magnet. This begs the question as to whether the magnetic and electric fields are just the same field under different conditions: the electric field is for separated charges while the magnetic field is for bound charges?

Links used in the video:

- Electric Field Simulator: https://phet.colorado.edu/sims/html/charges-and-fields/latest/charges-and-fields_en.html
- Magnetic Field wiki: https://en.wikipedia.org/wiki/Magnetic_field
- FractalWoman's Ether Model: https://youtu.be/ziGC6ZRmXWk

Timestamps:

- Electromagnet vs Permanent Magnet: 0:00
- Iron filings in presence of magnetic field: 0:08
- Electric field and electric charges: 0:14
- Magnetic field resembles Electric field: 0:25
- Electric Field Simulator: 0:32
- Magnetic field resembles electric field: 0:47
- A permenant magnet resembles many bound charges: 1:01

Video screenshots and playlist:

- HIVE notes: https://peakd.com/hive-128780/@mes/atafixln
- MES Physics playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EAUu0aAxoZmkS83RI65m1N

Related Videos:

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Apr 16, 2024

101 4:59

Apr 13, 2024

🔬#MESExperiments 36: Faraday's Paradox using Ferrofluid (and Iron Filings)

In #MESExperiments 36 I further demonstrate Faraday's Paradox, this time using Ferrofluid and showing that a magnet rotating about its polar axis has no effect on the fluid. I also perform additional experiments using iron filings using more complex patterns to show that they are still not affected by the rotating magnet. This is a follow-up to Experiment 35 which I performed similar experiments but with the magnet at a distance away from the iron filings. According to Michael Faraday's theory on magnetism, the magnetic field "lines of force" should be moving and cutting through the iron filings and they thus should experience an electromotive force (EMF), which paradoxically don't. This suggests the magnetic field does not rotate. Further information on Faraday's Paradox as well as FractalWoman's magnetic isopotentials explanation for it can be seen in the video description of Experiment 35: https://youtu.be/hotOO9bwrrA

The original unedited version of this experiment can be seen here: https://youtu.be/mJjDasSSqHo

Timestamps:

- Placing a magnet underneath ferrofluid: 0:00
- Rotating the magnet has no effect on ferrofluid: 0:16
- Rotating the magnet with a drill has no significant effect on ferrofluid: 0:29
- ADDITIONAL EXPERIMENTS with Iron Filings: 1:06
- Rotating a magnet underneath has no effect on iron filings: 1:16
- No effect even if iron filings pattern is complex: 1:25
- No effect when rotated with a drill: 2:07
- Repeating experiment with iron filings on a tray: 2:41
- Rotating magnet still has no effect on iron filings: 3:06
- Same result with complex iron filings pattern on a tray: 3:21
- Same result when rotated with a drill: 4:02
- WARNING: Be careful when working with ferrofluid! 4:54

Stay tuned for #MESExperiments 37...

View experiment screenshots and more experiments below:

- Screenshots of the Experiment: https://peakd.com/hive-128780/@mes/hdmneruh
- #MESExperiments video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUHoank-Lj9q6RGAS51QRh
- Hive playlist: https://peakd.com/mesexperiments/@mes/list
- DRAFT #MESExperiments video series: https://mes.fm/experiments-draft

Related Videos:

#MESScience video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0GhjCHmTw1XbqMD_EdVKdd9
#AntiGravity video series: https://peakd.com/antigravity/@mes/series
#FreeEnergy video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FKVpHL_onhaqBeVP-8qJXV .

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Apr 13, 2024

56 15:51

Apr 12, 2024

A Hyperbolic Paraboloid Can Be Generated by Straight lines

In this video I show that a hyperbolic paraboloid can be generated entirely by two sets of lines, thus classifying it as a Ruled Surface. The only quadric surfaces that are ruled surfaces are cylinders, cones, and hyperboloids of one sheet. All of these can be generated by the motion of straight lines. A hyperbolic paraboloid has horizontal traces that are hyperbolas and vertical traces that are parabolas. I show that two sets of lines in parametric equations can be plugged directly into the equation of the hyperboloid paraboloid and obtain a point on it. I also play around with the lines using GeoGebra's 3D graphing calculator to show that the lines are always on the hyperbolic paraboloid, which is pretty amazing when you think about it!

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Exercise 2: Hyperbolic Paraboloid Generated from Lines: 0:00
- Ruled Surfaces: hyperbolic paraboloids, cylinders, cones, hyperboloids of one sheet: 0:41
- Solution: Recall equation of a hyperbolic paraboloid: 1:30
- Recall parametric equations of a line: 2:49
- Plugging in first line equation into hyperboloid paraboloid: 4:00
- Plugging in second line equation: 7:01
- Two sets of lines on the hyperboloid paraboloid in vector form: 9:46
- Graphing in GeoGebra: 12:01

Full video below:

- Cylinders and Quadric Surfaces: https://youtu.be/k4EyLr4uOUA
- HIVE video notes: https://peakd.com/hive-128780/@mes/cylinders-and-quadric-surfaces
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EfmYwT81SebJnU1Ny8Fc5u
- Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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Apr 12, 2024

82 18:53

Apr 11, 2024

Modeling Earth as an Ellipsoid

In this video I model the Earth as an ellipsoid as used by the World Geodetic System of 1984 (WGS-84) since it is a more accurate model than a sphere. The Earth is not perfectly spherical but instead is more squished vertically by about 21.6 km: the distance from the center to the Poles is 6356.523 km while the distance to the equator is larger at 6378.137 km. The parallels or circular lines of equal latitude are the horizontal circular traces of the ellipsoid. The meridians or elliptical lines of equal longitude are the vertical elliptical traces of the ellipsoid. I plot this all out using GeoGebra's 3D and 2D graphing calculators (the 2D traces turn into cylinders in 3D so I had to also use the 2D graphing calculator).

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec
GeoGebra 2D graphing calculator: https://www.geogebra.org/calculator/hte4yr46

Time stamps:

- Exercise 1: Modeling Earth as an Ellipsoid: 0:00
- Solution to (a): Earth's Ellipsoid Equation: 1:09
- Solution to (b): Parallels or Circular Lines of Equal Latitude: 6:26
- Note: Using GeoGebra's 2D (not 3D) calculator to plot 2D circles: 10:37
- Solution to (c): Meridians or Elliptical Lines of Equal Longitude: 11:58

Full video below:

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Apr 11, 2024

82 2:47:45

Apr 10, 2024

MES Livestream 10: FractalWoman Joins the Show!

FractalWoman joins the show to discuss all things electromagnetism, ferrocells, blackholes, aether, quantum mechanics, fractals, NFTs, and her many ground-breaking discoveries!

November 11, 2023 (SATURDAY) at 1 PM PST / 4 PM EST / 10 PM CAT

FractalWoman's links:

- YouTube: https://www.youtube.com/@FractalWoman/
- Website: https://fractalwoman.com/
- ResearchGate: https://www.researchgate.net/profile/Lori-Gardi
- Twitter: https://twitter.com/theomparticle
- ITcoin: https://fractalwoman.com/ITcoin/
- Buddhabrot: https://en.wikipedia.org/wiki/Buddhabrot

Stream notes and playlist:

- Stream notes and links: https://peakd.com/hive-128780/@mes/livestream-10
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .

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Apr 10, 2024

72 21:18

Apr 08, 2024

Soil Mechanics: Simplified Dam Filter Criteria Example

This is another video on soil mechanics and the Simplified Filter Criterion is discussed and explained through a simple design of a filter used for the core material of a dam. Gradation curves, log scales and various other soil mechanics phenomenon are touched in this video but stay tuned for later videos as I will go in depth and in greater detail for those topics.

Video notes and playlist:

- PDF: https://1drv.ms/b/s!As32ynv0LoaIiuhksxrTy4Qv3VXAxA
- HIVE notes: https://peakd.com/hive-128780/@mes/soil-mechanics-dam-filter-example
- Soil Mechanics playlist: https://www.youtube.com/playlist?list=PL05F1D41EEDB38EF1

Related Videos:

Types of Tailings Embankments: Upstream, Downstream and Centerline Construction Methods: http://youtu.be/1wm1XR6z-QE
Soil Mechanics 101 - Phase Relations: http://youtu.be/DtKheQcL2BU .

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Apr 08, 2024

135 1:55

Apr 04, 2024

🔬#MESExperiments 35: Faraday's Paradox using Iron Filings

In #MESExperiments 35 I demonstrate Faraday's Paradox by showing that iron filings behave the same whether a magnet is rotating about its polar axis or not rotating at all. This suggests that the magnetic field does not rotate along this axis. Traditionally, Faraday's Paradox is demonstrated by a permenant magnet and a copper disc connected to a voltage (electric pressure) reading. It is based on Faraday's Law of Induction describing how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF). The paradox is described below:

1. Rotating the copper disk generates a voltage reading.
2. Rotating the magnet does not generate a voltage reading (contrary to Faraday's Law).
3. Rotating both the copper disk and magnet generates a voltage reading (contrary to Faraday's Law).

This is paradoxical under the theory that the magnet emits magnetic field lines and that EMF is generated whenever the copper disk cuts through these lines. Thus any relative motion between the copper disk and magnet should obtain a voltage reading. My experiment suggests that the magnet is not emitting an magnet field but rather that there exists another substance (the Aether) that the magnet is interacting with.

Also in this video, I show that rotating the magnet perpendicular to its polar axis can rotate or horizontally translate the iron filings. Pretty epic stuff!

Original video and more links, including FractalWoman's Magnetic Isopotentials explanation for Faraday's Paradox:

- Unedited Draft video: https://youtu.be/hotOO9bwrrA
- Faraday's Paradox wiki: https://en.wikipedia.org/wiki/Faraday_paradox
- Faraday's Law: https://en.wikipedia.org/wiki/Faraday%27s_law_of_induction
- MES Livestream 10 with FractalWoman: https://www.youtube.com/live/U6d0Err8tjU?t=4715
- Magnetic Isopotentials and the Faraday Paradox: https://youtu.be/sJ0izpaKmFU
- Faraday Paradox (not a paradox) Explained: https://youtu.be/pdk82DmfsMQ
- Mainstream science has no agreement on whether magnetic field rotates with a magnet or not: https://youtu.be/_cUXNwp2Ock and https://www.nature.com/articles/s41598-022-21155-x

Timestamps:

- Iron filings, magnet, and electric drill: 0:00
- Iron filings move when paper or magnet is moved: 0:17
- Rotating magnet when polarity is the same has no effect on iron filings: 0:38
- Iron filings behave the same whether magnet is rotating or not: 0:49
- Additional Experiments: 1:01
- Placing magnet on its diameter to drill: 1:11
- Rotating magnet rotates iron filings in direction of rotation: 1:22
- Rotating magnet parallel to iron filings moves them horizontally: 1:34

Stay tuned for #MESExperiments 36...

View experiment screenshots and more experiments below:

- Screenshots of the Experiment: https://peakd.com/hive-128780/@mes/jaezbche
- #MESExperiments video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUHoank-Lj9q6RGAS51QRh
- Hive playlist: https://peakd.com/mesexperiments/@mes/list
- DRAFT #MESExperiments video series: https://mes.fm/experiments-draft

Related Videos:

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Apr 04, 2024

106 5:32

Apr 04, 2024

Applications of Quadric Surfaces: Telescopes, Car Headlights, Microphones, Nuclear Power Plants

In this video I go over a quick overview of some of the many applications of quadric surfaces. From the shape of the Earth being an ellipsoid, satellite dishes being paraboloids, to nuclear power plants being hyperboloids, applications of quadric surfaces are boundless!

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Applications of quadric surfaces: Earth as an ellipsoid: 0:00
- Radio Telescopes use circular paraboloids to direct parallel rays to the focus: 0:23
- Car headlights also use paraboloid reflectors: 1:47
- Light telescopes use paraboloid lens: 2:34
- Microphones and satellite dishes also use paraboloids: 3:10
- Nuclear power plant cooling towers are hyperboloids of one sheet: 3:46
- Pairs of hyperboloid transmission gears transmit rotational motion: 4:13
- Video of hyperboloidal gears: https://youtu.be/FciC17mNu_I: 4:56

Full video below:

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Apr 04, 2024

91 11:41

Apr 03, 2024

Graphing a Shifted Elliptic Paraboloid in 3D

In this video I graph a shifted and horizontal elliptic paraboloid, which is a quadric surface that opens up along parabolic traces while the cross-section has elliptical traces. This is the same shape as in my earlier video but this time the elliptic paraboloid is shifted so that the origin is (3, 1, 0) and opens horizontally parallel to the y-axis.

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Example 8: Shifted Elliptic Paraboloid: 0:00
- Solution: Completing the square: 0:20
- Comparing equation with Table 1: 4:53
- Elliptic paraboloid is shifted and parallel to y-axis: 6:55
- Vertical traces in y = k plane are ellipses: 7:17
- Horizontal traces (and vertical x = k plane) are parabolas: 8:17
- Sketching the elliptic paraboloid: 9:39
- Graphing in GeoGebra: 11:09

Full video below:

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Apr 03, 2024

92 11:21

Apr 02, 2024

Graphing a Hyperboloid of Two Sheets in 3D

In this video I sketch a hyperboloid of two sheets, which is a quadric surface with horizontal traces being hyperbolas while vertical traces are comprised of both hyperbolas and ellipses. There are no vertical traces in the xz-plane thus the quadric surface is split into two sheets, hence the name: Hyperboloid of Two Sheets.

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Example 7: Hyperboloid of Two Sheets: 0:00
- Solution: Re-arranging equation into standard form: 0:17
- Comparing equation with hyperboloid of two sheets from Table 1: 1:56
- Traces in xy and yz-planes are hyperbolas: 2:09
- Traces in y = k planes are ellipses: 3:41
- No traces in the xz-plane: 5:57
- Re-writing y = k traces equation: 6:44
- Sketching the graph using traces: 7:48
- Graphing in GeoGebra: 10:55

Full video below:

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Apr 02, 2024

89 5:53

Mar 29, 2024

Table of Computer Drawn Quadric Surfaces

In this video I go over a table of 6 basic quadric surfaces with computer-drawn graphs: ellipsoid, elliptic paraboloid, hyperbolic paraboloid, cone, hyperboloid of one sheet, and a hyperboloid of two sheets. I also discuss their formulas and what happens when the variables change. All the shown graphs are symmetric about the z-axis but the equations can be modified to make it symmetric about a different axis. I have plotted all these surfaces on the GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Computers typically draw these surfaces by using 2D traces along vertical planes spaced at even intervals. Parts of the graph (those in the background) are then removed using hidden line removal techniques: https://youtu.be/JS1bbyvdhsA

Time stamps:

- Computer-Drawn Graphs of Quadric Surfaces: 0:00
- Table 1: Six Basic Quadric Surfaces 0:37
- Ellipsoid: 1:04
- Elliptic Paraboloid: 1:30
- Hyperbolic Paraboloid: 2:00
- Cone: 3:08
- Hyperboloid of One Sheet: 4:20
- Hyperboloid of Two Sheets: 4:50

Full video below:

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Mar 29, 2024

96 6:16

Mar 28, 2024

Graphing a Hyperboloid of One Sheet in 3D

In this video I graph a Hyperboloid of One Sheet, which has horizontal traces being ellipses and vertical traces being hyperbolas. This quadric surface is made up of one sheet, which means there is no separation into two parts as are usually typical when dealing with hyperbolas. I will go over the Hyperboloid of Two Sheets in a later video.

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Example 6: Hyperboloid of One Sheet: 0:00
- Solution: Horizontal traces are ellipses: 0:15
- Vertical traces are hyperbolas: 0:56
- Sketching the Hyperboloid of One Sheet: 1:56
- Better graph from my Calculus book: 5:13
- Graphing in GeoGebra: 5:36

Full video below:

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Mar 28, 2024

90 20:59

Mar 26, 2024

Graphing a Hyperbolic Paraboloid in 3D

In this video I graph a hyperbolic paraboloid, which is a surface that has vertical traces being parabolas, and horizontal traces being hyperbolas. After first obtaining the traces in 2D, I draw them out in 3D, and then combine them all together to form what looks like a horse's saddle. I also graph the hyperbolic paraboloid using the GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Example 5: Hyperbolic Paraboloid: 0:00
- Solution: Obtaining the traces: 0:10
- Drawing the family of traces: 1:41
- Vertical parabolas in x = k planes: 1:57
- Vertical parabolas in y = k planes: 5:50
- Horizontal hyperbolas in z = k planes: 9:08
- Better graphs from my Calculus book: 16:02
- Fitting traces together to form a Hyperbolic Paraboloid: 17:30
- Better graph from Calculus book: 20:06
- Graphing in GeoGebra: 20:17

Full video below:

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Mar 26, 2024

116 1:46:37

Mar 26, 2024

MES Livestream 9: Freedom Activist Allen Forrest Joins the Show

Friend and fellow freedom activist Allen Forrest joins the show. Allen, going with the online alias artgrafiken, is a painter, cartoonist, filmmaker, and overall great artist. He began making CoronaToons to depict the COVID madness through satirical cartoons, and today he shares his journey!

Allen Forrest's links:

- PeakD: https://peakd.com/@artgrafiken
- Dissident Voice: https://dissidentvoice.org/author/allenforrest
- Minds: https://www.minds.com/artgrafiken
- Odysee: https://odysee.com/@artgrafiken:f

Stream notes and playlist:

- Stream notes and links: https://peakd.com/hive-106474/@mes/mes-livestream-9-freedom-activist-allen-forrest-joins-the-show
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .

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Mar 26, 2024

99 7:35

Mar 25, 2024

Graphing an Elliptic Paraboloid in 3D

In this video I graph an elliptic paraboloid in 3D both manually as well as using the GeoGebra 3D graphing calculator. An elliptic paraboloid has vertical traces being parabolas and horizontal traces being ellipses.

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Example 4: Elliptic Paraboloid: 0:00
- Solution: Vertical traces are parabolas: 0:15
- Horizontal traces are ellipses: 1:27
- Manually sketching the graph: 2:08
- Better graph from my Calculus book: 6:33
- Graphing in GeoGebra: 6:46

Full video below:

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Mar 25, 2024

116 3:03

Mar 24, 2024

Proof that Sum of Angles in ANY Triangle = 180 degrees

This is a short video explaining why the sum of the angles in any triangle is always equal to 180 degrees. You may have taken this fact for granted during high school but the proof to it is quite simple.

Video notes and playlist:

- PDF notes: https://1drv.ms/b/s!As32ynv0LoaIiuNNSnmU8cTiuMn28A?e=rHhCj7
- HIVE notes: https://peakd.com/hive-128780/@mes/angles-in-triangle-equal-180-degrees
- Math proofs: https://www.youtube.com/playlist?list=PL0FC57188710456CF

Related Videos:

Angles - Degrees vs Radians: What are Radians??: http://youtu.be/bOdrVvQWRdE
What is Pi and Proof that it equals 3.14159265....: http://youtu.be/mZc7Uvae4Fw .

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Mar 24, 2024

105 12:58

Mar 21, 2024

Graphing an Ellipsoid in 3D

In this video I graph the Ellipsoid quadric surface, whose vertical and horizontal traces are all ellipses. This means that if you cut through the ellipsoid from any angle, the 2D trace will always be an ellipse. I graph the Ellipsoid both manually as well as using the GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Example 3: Ellipsoid: 0:00
- Solution:
- Horizontal traces are ellipses: 0:16
- Right side needs to be positive: 2:24
- Rewriting equation to show its an Ellipse: 3:41
- Vertical traces are ellipses: 5:28
- Drawing the Ellipsoid with traces: 6:55
- Graphing in GeoGebra: 10:18
- Symmetry due to even powers: 11:31

Full video below:

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Mar 21, 2024

103 5:29

Mar 20, 2024

Intro to Quadric Surfaces and Recap on Conic Sections

In this video i go over a quick introduction to 3D Quadric Surfaces and recap on their 2D counterparts, Conic Sections. A quadric surface is the 3D graph of a second-degree equation in three variables x, y, and z. I illustrate the most general equation as well as two standard forms that be obtained by rotation and translation (and lots of algebra via completing the square). Quadric surfaces have 2D counterparts in conic sections, which I have listed below.

Ellipsoid vs Ellipse
Paraboloid vs parabola
Hyperboloid vs hyperbola

I also go over a recap on the equations and graphs of conic sections.

GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Quadric Surfaces have second-degree equations: 0:00
- General equation: 0:15
- Two Standard Form equations: 1:33
- Recap on conic sections: 3:08

Full video below:

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Mar 20, 2024

112 8:20

Mar 19, 2024

Graphing Circular Cylinders in 3D

In this video I show how to graph vertical and horizontal circular cylinders in 3 dimensions. The first example is the vertical cylinder with equation x^2 + y^2 = 1. This is just the equation of a circle with radius 1, but since z is not present, the circle extended along the z-axis vertically. The second example is the horizontal cylinder y^2 + z^2 = 1. This again is just the equation of a circle of radius 1 but along the yz-plane. Since the x-axis is not present this means the circle gets extended horizontally along the x-axis. I graph these cylinders manually as well as with the GeoGebra 3D graphing calculator: https://www.geogebra.org/3d/tabys4ec

Time stamps:

- Example 2: Circular Cylinders: 0:00
- (a) Vertical Cylinder: 0:20
- Graphing in GeoGebra: 3:43
- (b) Horizontal Cylinder: 4:12
- Graphing in GeoGebra: 6:29
- Note: 3D Surfaces vs 2D Traces: 7:07

Full video below:

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Mar 19, 2024

88 7:08

Mar 18, 2024

Graphing a Parabolic Cylinder in 3D

In this video I introduce cylinders and quadric surfaces and then do an example graphing out a parabolic cylinder. I first recap on the equation of a plane and equation of a sphere in 3D. A cylinder is defined as a 3D surface that consists of all lines (called rulings) that are parallel to a given line and pass through a given plane. I illustrate this by sketching the graph of the parabolic cylinder z = x^2. Since the y-variable is missing, this means that the parabola on the xz-plane can be extended along the y-axis to infinity. Note that the 2D parabolas are called traces, which are curves of intersection of the surfaces with planes parallel to the coordinate planes. Traces make it easier to sketch the surface, and in some cases are necessary to do so.

Time stamps:

- Recap on Planes and Spheres: 0:00
- Graphing cylinders and quadric surfaces using traces: 1:25
- Cylinders: 1:47
- Example 1: Parabolic Cylinder 2:05
- Graphing in GeoGebra: https://www.geogebra.org/3d/tabys4ec: 5:31
- Cylinder has a missing variable in the equation: 6:31

Full video below:

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Mar 18, 2024