A subterranean robot maps a Yucatan cave system and travels 45 meters into the first chamber, then 70 meters into a network of tunnels, finally 20 meters to surface. If the robot transmits positional data every 3 meters, including start and end points, how many data points are transmitted?

["Title: How a Subterranean Robot Mapped a Yucatan Cave System: A Breakdown of Positional Data Transmission", "Exploring remote and challenging cave systems like those in the Yucatán Peninsula pushes the limits of robotics and remote sensing. When a subterranean robot navigates such a complex network, precise tracking of its location is critical for mapping accuracy and scientific analysis. In one remarkable excavation, a robot ventured 45 meters into the first chamber, traversed 70 meters through a sprawling tunnel system, and finally climbed 20 meters to the surface—drawing a detailed subterranean route. Understanding how positional data is transmitted during such missions reveals how robotics enables deep geological exploration.", "### The Robotic Journey Through the Yucatán Cave System", "The robot’s mission began at the cave entrance and proceeded through three distinct segments:\n- 45 meters: A straight path into the first chamber\n- 70 meters: A branching network of tunnels, extending the mapped area\n- 20 meters: A final ascent to the surface", "This forward progress forms a continuous, branched trajectory totaling:\n[ 45 + 70 + 20 = 135 \ ext{ meters} ]", "### Positional Data Transmission Strategy", "To monitor the robot’s exact location in real time, it transmits positional data every 3 meters. This interval ensures high-resolution tracking essential for creating accurate 3D maps. The transmission protocol includes both the starting point (0 meters) and every intermediate position.", "To calculate the total number of data points:\n- Divide the total distance by the reporting interval:\n[ 135 \ ext{ meters} ÷ 3 \ ext{ meters per point} = 45 \ ext{ intervals} ]\n- Since data is transmitted at both the start (0 m) and end (135 m), the number of data points equals the number of intervals plus one:\n[ 45 + 1 = 46 \ ext{ data points} ]", "### Summary: Precise Data Capture Enables Detailed Cave Mapping", "The robot transmitted positional data at 46 distinct points throughout its exploration—each marker pinning its exact location within the Yucatán cave system. This high-frequency data collection supports detailed geological studies, structural analysis, and future autonomous navigation algorithms. By mapping 135 meters of intricate subterranean passages with 3-meter resolution, the technology demonstrates how robotics transforms our ability to explore and understand remote, dangerous environments.", "For scientists, explorers, and engineers alike, this level of spatial tracking proves essential—not just for navigation, but for unlocking the secrets hidden deep beneath the Yucatán’s karst landscape.", "---", "Key SEO Keywords: subterranean robot mapping, Yucatan cave system, positional data transmission, 3-meter data points, cave exploration robotics, 135-meter cave survey, autonomous robot data collection."]