A brief history of contour lines @TheMapReadingCompany

Uploaded April 2023 | Updated September 2026, 4 days ago

From an 18th century border dispute in the (current day) USA to London and then on to a windswept mountain top in Scotland, the history of contour lines flows directly to today’s modern maps. I hope you find it interesting.

Here is the link to the Dire Straits song mentioned in the video.
youtu.be/OrLdKYRBOEE

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$The end of GPS (Part 2) - Quantum Clocks & INS Quantum Clocks are any essential addition to any Quantum navigation device. In this video we’ll look at the current situation with Inertial Navigation Systems and the challenges of using quantum technology for precise positioning and how quantum clocks solve these issues. If you missed Part 1, we covered how atoms help calculate movement and direction—check it out for a full understanding of inertial guidance systems. Here, we focus on two critical aspects: 1. Starting Position: Quantum Navigation needs an accurate starting point. We explain methods like manual entry using accurate maps, triangulation with LIDAR or radar, and even spacecraft navigation using stars. These techniques ensure pinpoint accuracy, no matter where you are. 2. Timing Precision: Even the smallest timing errors can disrupt navigation. Imagine flying an aircraft at 500 mph—being off by just one second could result in landing miles off course. That’s where quantum clocks come in. Using optical transitions in atoms, they outperform atomic clocks in precision. With their stability, quantum clocks are being tested in military applications like the UK Ministry of Defence’s trials on warships. Link to the video “what is the difference between a hill and a mountain” https://youtu.be/2EXFSN3Nv88 ############################### Here’s a step-by-step approach formatted with plain text and numbers only while still describing the logic so a reader can follow it: Correct Watch (2 weeks): 1. Walking Details: o Speed: 1 mile per hour. o Time per interval: 15 minutes = 0.25 hours. o Direction change after each interval: 2 degrees. o Total travel time: 336 hours. o Number of intervals = 336/0.25=1344336 / 0.25 = 1344. 2. Northward and Eastward Movement: o For each interval:  Northward movement = 0.25×cos⁡(θ)0.25 times cos(theta), where θtheta is the cumulative direction.  Eastward movement = 0.25×sin⁡(θ)0.25 times sin(theta), where θtheta is the cumulative direction. 3. Add Up Movements: o Start at 0,00, 0 (north = 0, east = 0). o For each of the 1344 intervals:  Update north by adding 0.25×cos⁡(θ)0.25 times cos(theta).  Update east by adding 0.25×sin⁡(θ)0.25 times sin(theta).  Update θtheta by adding 2 degrees. 4. Final Position: o The total northward and eastward movements give the final coordinates relative to the starting point. 5. Distance Back to Start: o Total distance back = square root of (total northward movement)2+(total eastward movement)2(text{total northward movement})^2 + (text{total eastward movement})^2. 6. Compass Bearing: o Bearing = angle such that (eastward movement)/(northward movement)(text{eastward movement}) / (text{northward movement}) defines the direction from the final position to the starting point. Fast Watch (2 weeks): 1. Interval Adjustment: o New interval time: 14 minutes, 59.75 seconds = approximately 0.2499306 hours. o Number of intervals = 336/0.2499306≈1344.292336 / 0.2499306 approx 1344.292. 2. Movement Calculation: o For each interval:  Northward movement = 0.2499306×cos⁡(θ)0.2499306 times cos(theta), where θtheta is the cumulative direction.  Eastward movement = 0.2499306×sin⁡(θ)0.2499306 times sin(theta), where θtheta is the cumulative direction. 3. Add Up Movements: o Start at 0,00, 0 (north = 0, east = 0). o For each of the 1344.292 intervals:  Update north by adding 0.2499306×cos⁡(θ)0.2499306 times cos(theta).  Update east by adding 0.2499306×sin⁡(θ)0.2499306 times sin(theta).  Update θtheta by adding 2 degrees. 4. Final Position: o The total northward and eastward movements give the final coordinates relative to the starting point. 5. Distance Back to Start: o Total distance back = square root of (total northward movement)2+(total eastward movement)2(text{total northward movement})^2 + (text{total eastward movement})^2. 6. Compass Bearing: o Bearing = angle such that (eastward movement)/(northward movement)(text{eastward movement}) / (text{northward movement}) defines the direction from the final position to the starting point.$

THIS is how to navigate in a forest – correctly