| ID | Claim | Value | Verified |
|---|---|---|---|
| G1-001 | A sphere of radius ratio 1.00 has 1.00x the volume and 1.00x the surface | 1.0 | fails |
| G1-002 | A sphere of radius ratio 1.02 has 1.06x the volume and 1.04x the surface | 1.061 | holds |
| G1-003 | A sphere of radius ratio 1.04 has 1.12x the volume and 1.08x the surface | 1.125 | holds |
| G1-004 | A sphere of radius ratio 1.06 has 1.19x the volume and 1.12x the surface | 1.191 | holds |
| G1-005 | A sphere of radius ratio 1.08 has 1.26x the volume and 1.17x the surface | 1.26 | holds |
| G1-006 | A sphere of radius ratio 1.10 has 1.33x the volume and 1.21x the surface | 1.331 | holds |
| G1-007 | A sphere of radius ratio 1.12 has 1.40x the volume and 1.25x the surface | 1.405 | holds |
| G1-008 | A sphere of radius ratio 1.14 has 1.48x the volume and 1.30x the surface | 1.482 | holds |
| G1-009 | A sphere of radius ratio 1.16 has 1.56x the volume and 1.35x the surface | 1.561 | holds |
| G1-010 | A sphere of radius ratio 1.18 has 1.64x the volume and 1.39x the surface | 1.643 | holds |
| G1-011 | A sphere of radius ratio 1.20 has 1.73x the volume and 1.44x the surface | 1.728 | holds |
| G1-012 | A sphere of radius ratio 1.22 has 1.82x the volume and 1.49x the surface | 1.816 | holds |
| G1-013 | A sphere of radius ratio 1.24 has 1.91x the volume and 1.54x the surface | 1.907 | holds |
| G1-014 | A sphere of radius ratio 1.26 has 2.00x the volume and 1.59x the surface | 2.0 | holds |
| G1-015 | A sphere of radius ratio 1.28 has 2.10x the volume and 1.64x the surface | 2.097 | holds |
| G1-016 | A sphere of radius ratio 1.30 has 2.20x the volume and 1.69x the surface | 2.197 | holds |
| G1-017 | A sphere of radius ratio 1.32 has 2.30x the volume and 1.74x the surface | 2.3 | holds |
| G1-018 | A sphere of radius ratio 1.34 has 2.41x the volume and 1.80x the surface | 2.406 | holds |
| G1-019 | A sphere of radius ratio 1.36 has 2.52x the volume and 1.85x the surface | 2.515 | holds |
| G1-020 | A sphere of radius ratio 1.38 has 2.63x the volume and 1.90x the surface | 2.628 | holds |
| G1-021 | A sphere of radius ratio 1.40 has 2.74x the volume and 1.96x the surface | 2.744 | holds |
| G1-022 | A sphere of radius ratio 1.42 has 2.86x the volume and 2.02x the surface | 2.863 | holds |
| G1-023 | A sphere of radius ratio 1.44 has 2.99x the volume and 2.07x the surface | 2.986 | holds |
| G1-024 | A sphere of radius ratio 1.46 has 3.11x the volume and 2.13x the surface | 3.112 | holds |
| G1-025 | A sphere of radius ratio 1.48 has 3.24x the volume and 2.19x the surface | 3.242 | holds |
| G1-026 | A sphere of radius ratio 1.50 has 3.38x the volume and 2.25x the surface | 3.375 | holds |
| G1-027 | A sphere of radius ratio 1.52 has 3.51x the volume and 2.31x the surface | 3.512 | holds |
| G1-028 | A sphere of radius ratio 1.54 has 3.65x the volume and 2.37x the surface | 3.652 | holds |
| G1-029 | A sphere of radius ratio 1.56 has 3.80x the volume and 2.43x the surface | 3.796 | holds |
| G1-030 | A sphere of radius ratio 1.58 has 3.94x the volume and 2.50x the surface | 3.944 | holds |
| G1-031 | A sphere of radius ratio 1.60 has 4.10x the volume and 2.56x the surface | 4.096 | holds |
| G1-032 | A sphere of radius ratio 1.62 has 4.25x the volume and 2.62x the surface | 4.252 | holds |
| G1-033 | A sphere of radius ratio 1.64 has 4.41x the volume and 2.69x the surface | 4.411 | holds |
| G1-034 | A sphere of radius ratio 1.66 has 4.57x the volume and 2.76x the surface | 4.574 | holds |
| G1-035 | A sphere of radius ratio 1.68 has 4.74x the volume and 2.82x the surface | 4.742 | holds |
| G1-036 | A sphere of radius ratio 1.70 has 4.91x the volume and 2.89x the surface | 4.913 | holds |
| G1-037 | A sphere of radius ratio 1.72 has 5.09x the volume and 2.96x the surface | 5.088 | holds |
| G1-038 | A sphere of radius ratio 1.74 has 5.27x the volume and 3.03x the surface | 5.268 | holds |
| G1-039 | A sphere of radius ratio 1.76 has 5.45x the volume and 3.10x the surface | 5.452 | holds |
| G1-040 | A sphere of radius ratio 1.78 has 5.64x the volume and 3.17x the surface | 5.64 | holds |
| G1-041 | A sphere of radius ratio 1.80 has 5.83x the volume and 3.24x the surface | 5.832 | holds |
| G1-042 | A sphere of radius ratio 1.82 has 6.03x the volume and 3.31x the surface | 6.029 | holds |
| G1-043 | A sphere of radius ratio 1.84 has 6.23x the volume and 3.39x the surface | 6.23 | holds |
| G1-044 | A sphere of radius ratio 1.86 has 6.43x the volume and 3.46x the surface | 6.435 | holds |
| G1-045 | A sphere of radius ratio 1.88 has 6.64x the volume and 3.53x the surface | 6.645 | holds |
| G1-046 | A sphere of radius ratio 1.90 has 6.86x the volume and 3.61x the surface | 6.859 | holds |
| G1-047 | A sphere of radius ratio 1.92 has 7.08x the volume and 3.69x the surface | 7.078 | holds |
| G1-048 | A sphere of radius ratio 1.94 has 7.30x the volume and 3.76x the surface | 7.301 | holds |
| G1-049 | A sphere of radius ratio 1.96 has 7.53x the volume and 3.84x the surface | 7.53 | holds |
| G1-050 | A sphere of radius ratio 1.98 has 7.76x the volume and 3.92x the surface | 7.762 | holds |
| G1-051 | A sphere of radius ratio 2.00 has 8.00x the volume and 4.00x the surface | 8.0 | holds |
| G1-052 | A sphere of radius ratio 2.02 has 8.24x the volume and 4.08x the surface | 8.242 | holds |
| G1-053 | A sphere of radius ratio 2.04 has 8.49x the volume and 4.16x the surface | 8.49 | holds |
| G1-054 | A sphere of radius ratio 2.06 has 8.74x the volume and 4.24x the surface | 8.742 | holds |
| G1-055 | A sphere of radius ratio 2.08 has 9.00x the volume and 4.33x the surface | 8.999 | holds |
| G1-056 | A sphere of radius ratio 2.10 has 9.26x the volume and 4.41x the surface | 9.261 | holds |
| G1-057 | A sphere of radius ratio 2.12 has 9.53x the volume and 4.49x the surface | 9.528 | holds |
| G1-058 | A sphere of radius ratio 2.14 has 9.80x the volume and 4.58x the surface | 9.8 | holds |
| G1-059 | A sphere of radius ratio 2.16 has 10.08x the volume and 4.67x the surface | 10.078 | holds |
| G1-060 | A sphere of radius ratio 2.18 has 10.36x the volume and 4.75x the surface | 10.36 | holds |
| G1-061 | A sphere of radius ratio 2.20 has 10.65x the volume and 4.84x the surface | 10.648 | holds |
| G1-062 | A sphere of radius ratio 2.22 has 10.94x the volume and 4.93x the surface | 10.941 | holds |
| G1-063 | A sphere of radius ratio 2.24 has 11.24x the volume and 5.02x the surface | 11.239 | holds |
| G1-064 | A sphere of radius ratio 2.26 has 11.54x the volume and 5.11x the surface | 11.543 | holds |
| G1-065 | A sphere of radius ratio 2.28 has 11.85x the volume and 5.20x the surface | 11.852 | holds |
| G1-066 | A sphere of radius ratio 2.30 has 12.17x the volume and 5.29x the surface | 12.167 | holds |
| G1-067 | A sphere of radius ratio 2.32 has 12.49x the volume and 5.38x the surface | 12.487 | holds |
| G1-068 | A sphere of radius ratio 2.34 has 12.81x the volume and 5.48x the surface | 12.813 | holds |
| G1-069 | A sphere of radius ratio 2.36 has 13.14x the volume and 5.57x the surface | 13.144 | holds |
| G1-070 | A sphere of radius ratio 2.38 has 13.48x the volume and 5.66x the surface | 13.481 | holds |
| G1-071 | A sphere of radius ratio 2.40 has 13.82x the volume and 5.76x the surface | 13.824 | holds |
| G1-072 | A sphere of radius ratio 2.42 has 14.17x the volume and 5.86x the surface | 14.172 | holds |
| G1-073 | A sphere of radius ratio 2.44 has 14.53x the volume and 5.95x the surface | 14.527 | holds |
| G1-074 | A sphere of radius ratio 2.46 has 14.89x the volume and 6.05x the surface | 14.887 | holds |
| G1-075 | A sphere of radius ratio 2.48 has 15.25x the volume and 6.15x the surface | 15.253 | holds |
| G1-076 | A sphere of radius ratio 2.50 has 15.62x the volume and 6.25x the surface | 15.625 | holds |
| G1-077 | A sphere of radius ratio 2.52 has 16.00x the volume and 6.35x the surface | 16.003 | holds |
| G1-078 | A sphere of radius ratio 2.54 has 16.39x the volume and 6.45x the surface | 16.387 | holds |
| G1-079 | A sphere of radius ratio 2.56 has 16.78x the volume and 6.55x the surface | 16.777 | holds |
| G1-080 | A sphere of radius ratio 2.58 has 17.17x the volume and 6.66x the surface | 17.174 | holds |
| G1-081 | A sphere of radius ratio 2.60 has 17.58x the volume and 6.76x the surface | 17.576 | holds |
| G1-082 | A sphere of radius ratio 2.62 has 17.98x the volume and 6.86x the surface | 17.985 | holds |
| G1-083 | A sphere of radius ratio 2.64 has 18.40x the volume and 6.97x the surface | 18.4 | holds |
| G1-084 | A sphere of radius ratio 2.66 has 18.82x the volume and 7.08x the surface | 18.821 | holds |
| G1-085 | A sphere of radius ratio 2.68 has 19.25x the volume and 7.18x the surface | 19.249 | holds |
| G1-086 | A sphere of radius ratio 2.70 has 19.68x the volume and 7.29x the surface | 19.683 | holds |
| G1-087 | A sphere of radius ratio 2.72 has 20.12x the volume and 7.40x the surface | 20.124 | holds |
| G1-088 | A sphere of radius ratio 2.74 has 20.57x the volume and 7.51x the surface | 20.571 | holds |
| G1-089 | A sphere of radius ratio 2.76 has 21.02x the volume and 7.62x the surface | 21.025 | holds |
| G1-090 | A sphere of radius ratio 2.78 has 21.48x the volume and 7.73x the surface | 21.485 | holds |
| G1-091 | A sphere of radius ratio 2.80 has 21.95x the volume and 7.84x the surface | 21.952 | holds |
| G1-092 | A sphere of radius ratio 2.82 has 22.43x the volume and 7.95x the surface | 22.426 | holds |
| G1-093 | A sphere of radius ratio 2.84 has 22.91x the volume and 8.07x the surface | 22.906 | holds |
| G1-094 | A sphere of radius ratio 2.86 has 23.39x the volume and 8.18x the surface | 23.394 | holds |
| G1-095 | A sphere of radius ratio 2.88 has 23.89x the volume and 8.29x the surface | 23.888 | holds |
| G1-096 | A sphere of radius ratio 2.90 has 24.39x the volume and 8.41x the surface | 24.389 | holds |
| G1-097 | A sphere of radius ratio 2.92 has 24.90x the volume and 8.53x the surface | 24.897 | holds |
| G1-098 | A sphere of radius ratio 2.94 has 25.41x the volume and 8.64x the surface | 25.412 | holds |
| G1-099 | A sphere of radius ratio 2.96 has 25.93x the volume and 8.76x the surface | 25.934 | holds |
| G1-100 | A sphere of radius ratio 2.98 has 26.46x the volume and 8.88x the surface | 26.464 | holds |
Incoprea Research ยท mirrored study, 3 November 2026. Composition and computation. No experiment performed.