Curvature vs Octopus Watch

Curvature is a geometry and visibility toolkit for anyone who wants to test what a curved or flat Earth would predict, with every formula documented and every assumption stated. THE CALCULATOR Enter observer height, target height and surface distance. Curvature returns the surface horizon, tangent-plane drop, midpoint bulge, horizon dip, surface tilt and the hidden and visible portions of the target, in metres or feet, kilometres or miles. Choose refraction off, four published coefficients or your own k from 0 to 0.5, and compare any result side by side with the pure geometric case. Drag the observer, target and distance directly on an exaggerated profile, or switch to a true-scale view with a magnified detail inset. Uncertainty ranges recalculate across your stated input tolerances so you can see whether a sighting is robust. THE MAP Drop rulers and points of interest on standard, satellite or hybrid maps. Rulers report geodesic surface distance and initial bearing in degrees or NATO mils, search for places, fit the view and send endpoints straight to the calculator. Optional terrain lookup prefills ground elevations from SRTM data with the datum and limits spelled out. THE 3D MODEL EXPLORER (NEW) Explore three scenarios with the same observer, date and time: the classical north-polar disc, a south-polar projection comparison and a WGS84 reference ellipsoid. The globe uses dated geometric ephemerides from the open-source Astronomy Engine, including sidereal rotation, precession, nutation, seasons, real Earth-Sun and Earth-Moon distances and lunar illumination, validated against JPL Horizons and US Naval Observatory data. Place the observer anywhere, read elevation, bearing, slant distance and angular diameter for the Sun and Moon, then open the observer sky to see both at their calculated angular size. A comparison sheet lists all three models for the same inputs. Each scene labels what is sourced, what is an app assumption and what is not simulated. REPORTS AND ANALYSIS Export an illustrated PDF report with inputs, coordinates, assumptions, uncertainty bounds and the calculation version, or copy a structured text summary. On supported devices, Apple Intelligence can draft a plain-language analysis that never alters the calculated numbers. REFERENCE LIBRARY Read bundled historical and technical PDFs with page bookmarks, find and go-to. Browse fifty curated web links covering tools, research, forums and video from every perspective, plus references, worked formulas for the calculator, map and explorer, and an indexed glossary of more than eighty terms. YOUR DATA Saved observations, rulers, points, links, imported PDFs and reading positions sync privately through iCloud on signed-in devices, with portable backup and restore. No account, tracking or advertising. Curvature does not tell you what to believe. It shows what each model predicts, how that was calculated and where the model stops.

Octopus Watch is the easiest tool to manage the (smart) tariffs provided by Octopus Energy in the UK. Octopus Watch is a paymium app for iOS offering both a standard version as a one-time purchase, and an optional subscription with additional features. Ready to supercharge your savings? Save significantly on your electricity bill, regardless of whether you're on Agile, Go, Cosy, Flux, Tracker, or any fixed tariffs (basic or eco 7). Thinking of joining Agile? Log into the app with just your postcode and check out local rates. If you want to see your consumption history, you'll need an Octopus Energy account and an active smart meter. Please note that support for Intelligent and Intelligent Go is currently limited, with only default off-peak times available. For the latest status on tariff support check out the wiki: https://wiki.smarthound.uk/octopus-watch/tariffs/ . With the standard version of Octopus Watch, you'll have all the tools at your fingertips to effectively manage your tariff: • View your current rates in an instant (including for gas trackers). • View your current electricity rates directly on your Apply Watch! • See all your upcoming rates in an easy chart and table. • Instantly get the cheapest times to run appliances or charge your EV, and save big! • Use the beautiful widget for current and upcoming prices on your home screen. • Receive alerts when the next day's Agile rates are available. • See your historic day-by-day usage. • Use the new micro metrics to quickly see trends in your usage. • See when your meter fails and how much data is missing. • Understand how weather influences your usage. • One tap comparison to see how your tariff compares to Agile, Go, and SVT. • Check your earnings from export (only available with an export meter). • Various options to change the app defaults to best suit your needs! • Export cleaned data to CSV for easy use in other apps such as Microsoft® Excel®. Want even more? A single subscription gets you access to these amazing features: • Up to 48h Agile rate predictions – plan your usage effectively and save even more! • If you have an export meter, also receive Agile export rate predictions. • Access 7-day weather forecasts across Great Britain for even better planning. • Instant notifications when next day's Agile prices fall below your chosen threshold. • Identify optimal half-hour blocks throughout the day to charge your EV or run appliances. • Carbon integration - see your environmental impact both now and in the past. • View your electricity generation regionally or nationally, and adjusted to your usage. • Choose the best slot based on either price or lowest carbon emissions on the grid. • One tap comparison to see how your tariff compares to most smart tariffs. • Advanced micro metrics over 14 or 28 days, including subscription-only metrics. • Day details – see your exact usage along with numerous statistics on a day-by-day basis. • Day details – see exactly which data is missing when your meter stops reporting. • Micro-optimise your usage with half-hour details within the app. • Generate straightforward electricity reports for any period in the last year. • Generate detailed gas reports, including heat pump efficiency information, for the last year. Thanks to Family Sharing you can install the app on all devices within the same family. Install it on your iPhone for an easy pocket reference, run it from your iPad to see the beautiful rate graph and double column table, or see the current rate with a flick of your wrist on your Apple Watch with dozens of complications to choose from. The choice is yours! Octopus Watch also supports subscription sharing, so one subscription gives you access to all the extras on all the iPhones and iPads in your household.